Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
approximation for pi.
a. 1.254 square meters
b. 312 square meters
c. 2, 822 square meters
d. 314 square meters
Answers
Answer:
(a) 1.254 square metersStep-by-step explanation:
We are given a figure, consisting of a right triangle with a circle cut out of it.
To Calculate : area of the shaded region below,
First Let's find the Area of the right triangle:
Area(triangle) = 1/2 × Base × Height
= 1/2 × 56 × 56
= 1/2 × 3136
= 3136/2
= 1568 m².
Now, We are diameter of the circle = 20 m
Radius of the circle = 20/2 = 10 m
Area of circle = πr²Acc. to question we have to use 3.14 as an
approximation for pi.
Area (circle) = 3.14 × 10 × 10
Area (circle) = 3.14 × 100
Area (circle) = 314 m²
Area of shaded region = Area of triangle - Area of circle =
= 1568 m² - 314 m²
= 1.254 square meters
Therefore, The approximate area of the shaded region is 1.254 square meters.
Option (a) is the required answer.
Related Questions
PQRSTU is plotted on a coordinate plane with vertices p(-1,0) Q(-1,3) R(1,4) S(2,5) T(4,4) and U(4,0) what is the hexagons area
Answers
First, we can find the length and width of the rectangle by finding the distance between points R and T, and between points Q and U, respectively.
Length of the rectangle RT = sqrt((4-1)^2 + (4-5)^2) = sqrt(10)
Width of the rectangle QU = sqrt((4-(-1))^2 + (0-3)^2) = sqrt(50)
The area of the rectangle is then:
Area of rectangle = Length x Width = sqrt(10) x sqrt(50) = 10sqrt(2)
To find the area of the two triangles, we can use the formula for the area of a triangle:
Area of triangle = 1/2 x Base x Height
Triangle 1 has base PQ, which has length 3, and height 1, which is the distance between PQ and RS. The area of triangle 1 is:
Area of triangle 1 = 1/2 x 3 x 1 = 3/2
Triangle 2 has base RS, which has length sqrt((4-1)^2 + (5-4)^2) = sqrt(10), and height 1, which is the distance between PQ and RS. The area of triangle 2 is:
Area of triangle 2 = 1/2 x sqrt(10) x 1 = sqrt(10)/2
Therefore, the total area of the hexagon is:
Area of hexagon = Area of rectangle + Area of triangle 1 + Area of triangle 2
= 10sqrt(2) + 3/2 + sqrt(10)/2
= 10sqrt(2) + (3+sqrt(10))/2
So the area of the hexagon is approximately 19.55 square units.
Your antique watch is increasing in value at a rate of 5% each year. If it is worth $500 today, how much will it be worth 3 years from now? Round to the nearest hundredths.
Answers
Answer:$578.81
Step-by-step explanation:
✨magic✨
what’s the numbers that correspond to the corret number of solutions
Answers
The number of solutions for the given system of linear equations is: Infinitely many solutions.
Calculating the number of solutionsTo determine the number of solutions for the given system of linear equations:
3x - y = 4
6x - 2y = 8
We can use the algebraic method of solving the system of equations by substitution or elimination.
Let's use the algebraic method to determine the number of solutions:
3x - y = 4 (1)
6x - 2y = 8 (2)
We can simplify equation (2) by dividing both sides by 2:
3x - y = 4 (1)
3x - y = 4 (2')
Equations (1) and (2') are equivalent, which means that they represent the same line.
Therefore, the two equations represent the same line, and we have infinitely many solutions.
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Complete question
What’s the numbers that correspond to the corret number of solutions
0 solution, 1 solution, Many solutions
3x - y = 4
6x - 2y = 8
A metallurgist made two purchases. The first purchase, which cost $1224, included 48 kilograms of an iron alloy and 40 kilograms of a lead alloy. The second purchase, at the same price, cost $507 and included 24 kilograms of the iron alloy and 13 kilograms of the lead alloy. Find the cost per kilogram of the iron and lead alloys. What is the cost of the iron alloy and the lead alloy?
Answers
For the first purchase:
- 48 kilograms of iron alloy and 40 kilograms of lead alloy cost $1224.
- Let x be the cost per kilogram of the iron alloy and y be the cost per kilogram of the lead alloy.
- We can write a system of two equations to represent the cost of the alloys:
```
48x + 40y = 1224
x + y = ?
```
We don't know the total cost per kilogram of both alloys combined, so we'll use a variable to represent it: `x + y = z`.
For the second purchase:
- 24 kilograms of iron alloy and 13 kilograms of lead alloy cost $507.
- We can use the total cost per kilogram of both alloys combined to find the cost of each alloy. We know that the total cost per kilogram is the same for both purchases, so we can write:
```
24x + 13y = 507
```
Now we can solve the system of equations:
```
48x + 40y = 1224
24x + 13y = 507
```
Multiplying the second equation by 2 to get the same number of x's as the first equation:
```
48x + 26y = 1014
48x + 40y = 1224
```
Subtracting the first equation from the second:
```
14y = 210
y = 15
```
Substituting y into the first equation:
```
48x + 40(15) = 1224
48x = 624
x = 13
```
So the cost per kilogram of the iron alloy is $13 and the cost per kilogram of the lead alloy is $15.
To find the cost of each alloy:
- For the first purchase, the cost of the 48 kilograms of iron alloy is 48 x $13 = $624, and the cost of the 40 kilograms of lead alloy is 40 x $15 = $600.
- For the second purchase, the cost of the 24 kilograms of iron alloy is 24 x $13 = $312, and the cost of the 13 kilograms of lead alloy is 13 x $15 = $195.
So the total cost of the iron alloy is $624 + $312 = $936, and the total cost of the lead alloy is
!
Can you help me with this please
Answers
Answer: [tex]\frac{2}{5}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{8}{25}[/tex]
Step-by-step explanation:
We can do this by counting the boxes for both the Width and the Length.
If we look at the width of these boxes (horizontally) then we see that there are 5 boxes all together, with 2 shaded green.
this means that 2 out of 5 of the boxes are shaded for the width, giving us the fraction: [tex]\frac{2}{5}[/tex]
Then for the Length (vertically) we see that there are also 5 boxes, but this time 4 are shaded. This gives us the fraction: [tex]\frac{4}{5}[/tex].
Then, to fill the equation in, we do: [tex]\frac{2}{5}[/tex] x [tex]\frac{4}{5}[/tex] , which gives us [tex]\frac{8}{25}[/tex]
2 x 4 = 8
5 x 5 = 25
To double check this answer, we can count how many boxes are shaded green.
We see that 8 are shaded green, out of the 25 boxes that are there.
Therefore, giving us a complete answer of: [tex]\frac{2}{5}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{8}{25}[/tex]
I need help, I’m struggling with 3 and 4 can someone help me
Answers
Answer:
3 and 4 ==> see work below
[tex]5. \quad\quad f^{-1}(x) = x^{1/7}[/tex]
[tex]6. \quad\quad f^{-1}(x) = -\left(\dfrac{5x}{2}\right)^{1/3}$}\\\text{We can also write this as $-\sqrt[3]{\frac{5x}{2}}$ }\\[/tex]
Step-by-step explanation:
Definition of inverse functions
If f and g are inverse functions, then f(x) = y if and only if g(y) = x
Or, in other words
If f(g(x)) = (g(f(x)) = x
then f and g are inverse functions
Q3
We have f(x) = x + 4 and g(x) = x - 4
To find f(g(x)), substitute g(x) = x - 4 wherever there is an x term in f(x)
f(g(x)) = g(x) + 4
= x - 4 + 4 = x
g(f(x)) = f(x) - 4
= x + 4 - 4 =x
Hence f(x) and g(x) are inverse functions
Q4
[tex]f(x) = \dfrac{1}{4}x^3\\\\g(x) = (4x)^{1/3}[/tex]
[tex]\\\begin{aligned}f(g(x)) &= \dfrac{1}{4} (g(x))^3\\\\\end{aligned}[/tex]
[tex]\begin{aligned}(g(x))^3 &= \left((4x)^{1/3} \right)^3 \\& = (4x)^{\frac{1}{3} \cdot 3}\\& = 4x\end{aligned}[/tex]
Therefore
[tex]\\\begin{aligned}f(g(x)) &= \dfrac{1}{4} (g(x))^3\\&= \dfrac{1}{4} \cdot 4x\\&= x\\\end{aligned}[/tex]
[tex]\begin{aligned}g\left(f(x)\right) & = \left(4f(x)\right)^{1/3}\\&= \left(4 \cdot \dfrac{1}{4}x^3\right)^{1/3}\\& = \left(x^3\right)^{1/3}\\& =x& \end{aligned}[/tex]
So f(x) and g(x) are inverse functions
Q5
[tex]\text{Given $f(x) = x^7 $ we are asked to find inverse $f^{-1}(x)$}[/tex]
[tex]\rm{Let \: y = f(x) = x^7}\\[/tex]
Interchange x and y:
[tex]x = y^7[/tex]
Solve for y:
[tex]y = x^{1/7}[/tex]
The right hand side is the inverse function of f(x)
[tex]f^{-1}(x) = x^{1/7}[/tex]
Q6
[tex]\rm{Given \;f(x) = -\dfrac{2}{5}x^3 \:find\:the\:inverse,\;f^{-1}(x)}[/tex]
Using the same procedure as for Q5
[tex]y=-\dfrac{2}{5}x^3\\\\x=-\dfrac{2}{5}y^3\\\\\text{Solve for y}\\[/tex]
[tex]y^3=-\dfrac{5x}{2}[/tex]
[tex]y=-\left(\dfrac{5x}{2}\right)^{1/3}\\\\\\\text{Inverse of $f(x)$ is $f^{-1}(x) = -\left(\dfrac{5x}{2}\right)^{1/3}$}\\\text{We can also write this as $-\sqrt[3]{\frac{5x}{2}}$ }\\[/tex]
pls help if u can tyyysm im struggling will gvie brainly
Answers
Answer:
Would buy Would not
again buy again Total
Aalora 77 16 93
Mederac 48 23 71
Total 125 39 164
71/164 = 43.3% of the customers purchased Mederac.
So the group that accounts for about 43% of the respondents is the percentage of the customers who purchased Mederac.
A 10% solution of fertilizer is to be mixed with a 60% solution of fertilizer in order to get 125 gallons of a 50% solution. How many gallons of the 10% solution and 60% solution should be mixed?
Answers
[tex]x=\textit{gallons of solution at 10\%}\\\\ ~~~~~~ 10\%~of~x\implies \cfrac{10}{100}(x)\implies 0.10 (x) \\\\\\ y=\textit{gallons of solution at 60\%}\\\\ ~~~~~~ 60\%~of~y\implies \cfrac{60}{100}(y)\implies 0.6 (y) \\\\\\ \textit{150 gallons of solution at 50\%}\\\\ ~~~~~~ 50\%~of~150\implies \cfrac{50}{100}(150)\implies 75 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{lcccl} &\stackrel{gallons}{quantity}&\stackrel{\textit{\% of gallons that is}}{\textit{fertilizer only}}&\stackrel{\textit{gallons of}}{\textit{fertilizer only}}\\ \cline{2-4}&\\ \textit{Sol'n of 10\%}&x&0.10&0.10x\\ \textit{Sol'n of 60\%}&y&0.60&0.60y\\ \cline{2-4}&\\ mixture&150&0.5&75 \end{array} \\\\\\ \begin{cases} x + y = 150\\\\ 0.10x+0.60y=75 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=150}\implies y=150-x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{0.10x+0.60y=75}\implies \stackrel{\textit{substituting on the 2nd equation from above}}{0.10x+0.60(150-x)=75} \\\\\\ 0.10x+90-0.60x=75\implies 90-0.50x=75\implies 90=0.50x+75 \\\\\\ 15=0.50x\implies \cfrac{15}{0.50}=x\implies \boxed{30=x}\hspace{5em}\stackrel{ 150~~ - ~~30 }{\boxed{y=120}}[/tex]
Solve for 10 and 12 please and thank you
Answers
Answer:
10. 120 Degrees 12. 60 Degrees
Step-by-step explanation:
#12. Since CAD is 30, and BAD is a 90 degree angle, angle BAF is 60 degrees. Since BAF is 60 degrees and FAE and BAF are vertical angles, they have the same angle measure. 60 Degrees.
#10. Since BAF is 60, and FAE and BAF are on a line, we can do 180-60 to get the measure in degrees of that angle. FAE = 120 Degrees.
Answer:
Step-by-step explanation:
10. somewhere between 126 and 129, i feel its 128
12. between 60 and 65
Out of 300 applicants for a job, 134 are male and 40 are male and have a graduate degree. You were asked to find the probability that a randomly chosen applicant has a graduate degree, given that they are male.
Answers
Answer: We can use Bayes' theorem to find the probability that a randomly chosen applicant has a graduate degree, given that they are male. Bayes' theorem states:
P(A|B) = P(B|A) * P(A) / P(B)
where A and B are events, P(A|B) is the conditional probability of event A given that event B has occurred, P(B|A) is the conditional probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this case, we want to find P(grad degree | male), which is the probability that an applicant has a graduate degree given that they are male. Using Bayes' theorem, we have:
P(grad degree | male) = P(male | grad degree) * P(grad degree) / P(male)
We are given that 134 applicants are male, and 40 of those males have a graduate degree. Therefore:
P(male | grad degree) = 40 / total number of applicants with a graduate degree
We are not given the total number of applicants with a graduate degree, but we can find it using the fact that 40 applicants are male and have a graduate degree, and that there are 134 male applicants in total. Therefore:
total number of applicants with a graduate degree = 40 / (40/134) = 118.33 (rounded to the nearest whole number)
Next, we need to find the prior probability of having a graduate degree, P(grad degree). We can use the total number of applicants and the number of applicants with a graduate degree to calculate this probability:
P(grad degree) = number of applicants with a graduate degree / total number of applicants = 118 / 300 = 0.3933 (rounded to four decimal places)
Finally, we need to find the prior probability of being male, P(male). This probability can be calculated similarly:
P(male) = number of male applicants / total number of applicants = 134 / 300 = 0.4467 (rounded to four decimal places)
Now, we can substitute these values into Bayes' theorem to find the probability that a randomly chosen applicant has a graduate degree, given that they are male:
P(grad degree | male) = (40 / 118) * 0.3933 / 0.4467 = 0.332 (rounded to three decimal places)
Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they are male, is approximately 0.332 or 33.2%.
Step-by-step explanation:
How do you write 9.6 × 103 in standard form?
Answers
Provide appropriate commentary that will assist learner to in the completion of the sum8+(6-3)-9=
Answers
Answer:
8+(3)-9=8+3-9=11-9=2
Step-by-step explanation:
by using PEMDAS rule
Start with :
P : Paranthesis
E: exponents
M: Multiplication
D : division
A: Addition
S:Subtraction
Alexander deposits $3,200 into a savings account that has a simple interest rate of 1%. If interest is calculated quarterly, which statement is true?
Select one:
a.
He will earn $8 in interest each quarter, totaling $32 in interest for the year
b.
He will earn $32 in interest at the end of one year
c.
He will earn $0.80 in interest each quarter, totaling $3.20 in interest for the year
d.
He will earn $3.20 in interest at the end of one year
Answers
The TRUE statement about Alexander's deposit of $3,200 into a savings account that has a simple interest rate of 1% calculated quarterly is a. He will earn $8 in interest each quarter, totaling $32 in interest for the year.
What is the simple interest?Simple interest describes an interest system that does not compound the interest.
Compounding involves charging interest on both interest and principal.
For the simple interest system, the interest amount is computed only on the principal, using the following SI formula.
Principal deposit, P = $3,200
Interest rate, R = 1%
Interest period, P = 1 year
Interest system = Simple interest quarterly
Simple interest (SI) formula = P x R x T
Simple interest for each quarter = $8 ($3,200 x 0.01 x 1/4)
Simple interest for the year = $32 ($3,200 x 0.01)
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Solve for x. Round to the nearest tenth, if necessary
Answers
Answer:
Set your calculator to degree mode.
cos(37°) = 52/x
x cos(37°) = 52
x = 52/cos(37°) = 65.1
Let u = - 3i + 2j, v = 3i - 3j and w = - 3j
Find the specified scalar or vector.
5u(3v - 4w)
Answers
If u = - 3i + 2i, v = 2i - 2j and w = - 4j, 5u(3v - 4w) is a scalar quantity with a value of 440.
To evaluate the expression 5u(3v - 4w), we need to first perform the scalar multiplication and then the vector subtraction. We can start by computing the scalar multiplication of 3v - 4w:
3v - 4w = 3(2i - 2j) - 4(-4j) = 6i + 14j
Next, we can perform the scalar multiplication of u and the vector 6i + 14j:
5u(3v - 4w) = 5(-3i + 2j)(6i + 14j)
Expanding the product, we get:
5(-18i² + 36ij + 42ij - 28j²)
Since i² = j² = -1, we can simplify this expression as:
5(18 + 70) = 440
Therefore, 5u(3v - 4w) is a scalar quantity with a value of 440.
The key concept used in this problem is the distributive property of scalar multiplication over vector addition and subtraction. This property allows us to simplify expressions that involve scalar multiplication and vector operations by distributing the scalar to each component of the vector.
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A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Answers
Answer:
128 servings
Step-by-step explanation:
It takes 1 1/4 cups to make 10 servings
1 1/4 as a mixed fraction = 5/4
So 5/4 cups makes 10 servings
1 cup makes 10 ÷ 5/4
Use the fraction rule for division
a/b ÷ c/d = a/b x c/d
10 ÷ 5/4 = 10 x 4/5 = 8 servings from 1 cup
1 gallon = 16 cups
At 8 servings per cup, total number of servings for 16 cups
= 8 x 16 = 128 servings ANSWER
Simplify 5(x+3) -9x+4... Can somebody please help me??
Answers
Answer:
-4x+19
Step-by-step explanation:
Otherwise known as option B :D
Joey wants to buy a $3,000 vehicle with 20 percent down for three years at 12 percent interest. What will his monthly payment be?
Monthly Payment per $1,000 Finance
A. $72.82
B. $89.67
C. $79.70
D. $119.56
Answers
Joey’s monthly payment is solved to be
C. $79.70
How to find the monthly payment20% down 600 to calculate the monthly payment on a 3 000 car we would pay 2 400.
the interest rate is 12% per annum which equates to 1% per month the term of the loan is three years which equates to 36 months we can use a formula to calculate the monthly payments
[tex]Monthly salary = (P * r * (1 + r)^n) / ((1 + r)^n - 1) .[/tex]
where
P is the principal (premium),
r is the monthly interest rate, and
n is the number of months.
Plug in the prices and we have:
[tex]Monthly salary = (2400 * 0.01 * (1 + 0.01)^{36} ) / ((1 + 0.01)^{36} - 1)[/tex]
= $79.65 per square foot
So Joey’s monthly payment would be $79.65.
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I have part (a) answered, I just need part (b) if anyone could help with that please?
Answers
(a) The two dots on the graph at 53 represent two different samples of size 40 that both had a range of 53.
(b) No, the simulation does not provide evidence that the sample range is a biased estimator of the population.
What is range?Range is a statistical measure that refers to the difference between the highest and lowest values in a set of data. In other words, it is the distance between the largest and smallest values in a dataset.
According to given information:(a) The two dots on the graph at 53 represent two different samples of size 40 that both had a range of 53.
(b) No, the simulation does not provide evidence that the sample range is a biased estimator of the population. A biased estimator systematically overestimates or underestimates the population parameter of interest. The fact that the distribution of sample ranges is approximately symmetric and centered around the true population range suggests that the sample range is an unbiased estimator of the population range. However, the variability of the sample range is quite large, which means that a single sample range may not be a very precise estimate of the population range.
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Express all real numbers greater than 2 in interval notation
Answers
The interval-notation for "all real-numbers" greater than 2 is (2, ∞).
The "Interval-Notation" is a way of expressing a set of real numbers using brackets to show which numbers are included in the set. In the case of all real numbers greater than 2, we can write this as:
(2, ∞)
The open-bracket "(" indicate that the number 2 is not included in the set, while the symbol "∞" represents all real numbers greater than 2.
This notation is used to express an open interval, meaning that the endpoints (in this case, 2 and infinity) are not included in the set.
Therefore, the required interval-notation is (2, ∞).
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Find the perimeter of each figure
Answers
Answer: 53 ft
Step-by-step explanation:
The perimeter of a polygon is the sum of all sides. In this example, the sides are 4 ft, 20 ft, 18 ft, and 11 ft, so the perimeter is
4+20+18+11=53 ft
An agency wanted to study annual-sales distribution of 500 cottage industries of the same standard. Since the industries are located in different regions, it will be expensive to collect data from all 500 industries. Thus, the study is to be based on the sales of 75 industries which are selected to represent the whole. a) The agency summarized the collected data in tabular form, displayed it in graph and further found the average annual sales to be 36 thousand birr. What type of statistical technique is used here? b) The average sale of the 500 cottage industries is estimated to be 36 thousand birr based on the sample average. What type of statistical technique is used here?
Answers
The type of statistical technique used here is inferential
We are given that;
Annual-sales distribution of cottage industries of the same standard=500
Number of industries=500
Now,
a) The type of statistical technique used here is descriptive statistics, which involves summarizing, organizing, and presenting data in a meaningful way. Descriptive statistics can use tables, graphs, and numerical measures such as mean, median, mode, range, standard deviation, etc. to describe the main features and patterns of a data set.
b) The type of statistical technique used here is inferential statistics, which involves drawing conclusions or making predictions about a population based on a sample. Inferential statistics can use methods such as estimation, hypothesis testing, confidence intervals, regression analysis, etc. to make inferences about the population parameters from the sample statistics.
Therefore, by statistics the answer will be inferential.
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5 years ago i was 5 times older then my son. in 8 years time i will be 3 times older then my son. how old am i today?
Answers
Answer:
70 , 18
Step-by-step explanation:
Keeping x as Father and y as son;
5 years ago Person X was 5 times older than Person y , so the equation will be:
x - 5= 5(y-5)
x = 5y - 20
simularily after 8 years , x will be 3 times older than y , so
x + 8 = 3(y + 8.)
I will now try to find y by equating value of x into y:
5y - 20 + 8 = 3y + 24
5y - 3y = 24 + 20 - 8
2y = 44 - 8 = 36
y = 18
so x will be = 5 (18) - 20.
x = 90-20 = 70 years.
therefore father is 70 years , and son is 18 years old.
Question 15 (1 point)
You have purchased a new farm. Your lawn will be watered by central pivot irrigation,
where sprinklers rotate around a central point. If the line of sprinklers turning around
the central pivot is 300 ft long, write an equation to model the circular boundary of
your sprinkler. Assume the center is (0,0).
x² + y² = 360000
x²+²=90000
x² + y² = 900
x² + y² = 3600
Answers
The equation of the circle in this problem is given as follows:
x² + y² = 90000
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.
The center for this problem is given as follows:
(0,0).
The radius is given as follows:
300 ft.
Hence the equation is of:
x² + y² = 90000
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This circle is centered at the origin, and the length of its radius is 5. What is the equation of the circle? A. x2 + y2 = 52 B. x2 + y2 = 5 C. (x - 5)2 + (y - 5)2 = 25 D.
Answers
Answer:A
Step-by-step explanation:
Which expression is equivalent to 3^4?
Answers
Answer: is d
Step-by-step explanation:
well it is just 3 times 3 times 3 times 3
I would be rally thankful if you help
Answers
The matrix after the row operation is given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
The row operation is given as follows:
Division by 7 = multiplication by 1/7, as the element at the desired position is of 7.
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
We want to have element 1 into row 1 and column 1, that is, the element of 7 at row 1 and column 1 of the matrix must assume a value of -1.
An example of a valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:
7/k = 1
k = 7.
Dividing every element of the first row by 7, the resulting matrix is then given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
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Graph and solve y=1/2x-6 and y=1/2x+2
Answers
Answer:
No solution.
Step-by-step explanation:
To solve this problem, all you have to do is graph the lines and see where they intersect.
This is what you would do to solve a normal problem. However, these lines are parallel this means that the solution to these lines is no soultion
Gianah lives in Milton. She bought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Milton. The distance between the two cities is 695 kilometers and the bus drives 70 kilometers per hour.
If the bus is kilometers away from Orlando, which of the following equations represents the hours, h, the bus has traveled?
Answers
695 divided by 70=9.92 hours
PLEASE HELP!!!
The surface area of a triangular pyramid is 400 square meters. The surface area of a similar triangular pyramid is 25 square meters.
What is the ratio of corresponding dimensions of the smaller pyramid to the larger pyramid?
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Answers
Answer:
can i get a picture\
Step-by-step explanation:
thanks
Answer:
Step-by-step explanation:
1:4
