Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
which is lighter 900000g or 9 tonnes
900000g coz 9 tonnes is like 9000000g
Answer:
900000gm is lighter than 9 tonnes
Step-by-step explanation:
907185 = 1 ton
907185 x 9 = 8164665
You underline how many digits = 7 and see that 900000gm has only 6 digits.
Solve the equation using the Quadratic Formula:
x2 + 6x + 3 = 0
Answer:
x = -2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First we have to distinguish the numbers with x from the "normal" numbers.
2x and 6x are numbers with x.
3 and 0 are "normal" numbers.
Now we have to seperate them on different sides of the equal sign.
To do this, we can subtract 3 from the left side and then add it to 0 on the left side.
Therefore, the equation will now be 2x + 6x = -3.
Now we can add 2x and 6x together, making it 8x.
The equation will now be 8x = -3.
To find the product of x, we need to divide both sides together.
So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].
Therefore, x is -2[tex]\frac{2}{3}[/tex].
Hope my explination makes sense :)
In what ways are the sine and cosine graphs different?
Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve. A sine graph is the lighter curve on the graph.
Simplify the expression below and show each step. Justify the order of your steps in a brief explanation. 5-6x8diviededby8+3
Answer:
2
Step-by-step explanation:
First we have to figure out which order to solve this equation.
Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.
Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.
Next we simplify the equation, bringing us to the answer, 2.
Once again, please tell me if you need to know how I simplified the equation.
Hope this helped :)
What is the problem with this statement?
If you taking geometry, then you are in the 9th grade
A. It does not assume that all students take geometry
B. It does not assume that all students are in the 9th grade
C. It assumes that no students taking geometry are in the 9th grade
D. It assumes that all students taking geometry are in the 9th grade
Please I need help with this
Answer:
D. It assumes that all students taking geometry are in the 9th grade
Step-by-step explanation:
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Question 9 options:
a)
21, 23, 25
b)
41, 45, 49
c)
21, 41, 61
d)
21, 25, 29
The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Learn more: brainly.com/question/14069515
At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.
280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$
Answer:
$163
Step-by-step explanation:
Happily, they've given us the equation already.
280 + 5(–5) + (–42) + 2(75) + (–200)
280 - 25 - 42 + 150 - 200
Keep in mind your negative signs!
280 - 67 + 150 - 200
280 - 67 - 50
213 - 50
= $163
This can all be done on the calculator, but it can also be done mentally or written out, as I've done.
Answer:
Crystal had a balance of $163 at the end of the week
Step-by-step explanation:
hope this helped pls give brainliest!
PLEASE HELP Three subtracted from x is less than 20
Answer:
x < 23 (x is less than 23)
Step-by-step explanation:
x - 3 < 20
x < 20 + 3
x < 23 (x is less than 23)
The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?
Answer:
114
Step-by-step explanation:
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
945/7 i dont know it is confused
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
I will give the brainiest answer
Answer:
289 units
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Here C = 907.46 , thus
907.46 = πd ( divide both sides by π )
d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )
Answer:
[tex]d = 288.84 \: \: \: units[/tex]
Step-by-step explanation:
Using the formula
[tex]c = 2\pi \: r[/tex]
Solving for r
[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]
Now lets find the diameter
[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone help me??
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary
Answer:
67.5 degrees
Step-by-step explanation:
Hope that helps
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
Find the area of parallelogram BDKJ.
Answer:
6 x 4 = 24
Step-by-step explanation:
JC = 4
BD = 6
Plz help ASAP will give brainliest if answered correctly!!
Answer:
C
Step-by-step explanation:
Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C
a) write in simplified form the value of the area of the trapesoid.
Answer:
[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]
Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7
Answer:
x < -7
Step-by-step explanation:
-5x + 7 > 42
Subtract 7 from each side
-5x + 7-7 > 42-7
-5x > 35
Divide each side by -5, remembering to flip the inequality
-5x/-5 <35/-5
x < -7
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
Conner has $25,000 in his bank account. Every month he spends
$1,500. He does not add money to the account. Which equation could
be used to figure out when Conner will run out of money?
Answer: The answer is the last variant.[tex]\boxed{\boxed{25000-1500*x=0}} \\\\\\ \b{For x=16 months} \ \ \ \to \to \to \ \ \ 25000-1500*16= 25000-24000 = \boxed { 1000 < 1500}[/tex]
Step-by-step explanation:
Solve these simultaneous equations.
3 pillows and 5 quilts cost £49
5 pillows and 5 quilts cost £55
Find the cost of one of each.
Answer:
pillow cost 3, quilt costs 5
Step-by-step explanation:
let p represent pillow and q represent quilt
rest is in pic attached
(-2ab+8a+8) - (7ab + 6)
Answer:
-9ab + 8a + 2
Step-by-step explanation:
Combine like terms and distribute the negative
_______________________________
Solution,
(-2ab+8a+8)-(7ab+6)
= -2ab+8a+8-7ab-6
= -2ab-7ab+8a+8-6
= -9ab+8a+2
Hope it helps..
Good luck on your assignment
__________________________
someone help please, summer school is annoying
Answer:
6
Step-by-step explanation:
2y/3 + 1/3 = y/2 + 1/6
We want to eliminate the fractions
The least common multiple of 3,2 and 6 is 6
Multiply each side by 6 to get rid of the fractions
6(2y/3 + 1/3) = 6(y/2 + 1/6)
4y +2 = 3y +1
Help please.....anyone
Answer:
200 dollars
Step-by-step explanation:
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
Learn more about the compound interest here;
https://brainly.com/question/24274034
Please help I really need this answer since I am preparing for my nationals
Will give branliest if it is correct.
Answer: [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]
Step-by-step explanation:
a) First, use the Pythagorean Theorem to find CD:
8² + (CD)² = 10² → CD = 6
d) Next, find OB. Notice that both OB and OC are the radius of the circle.
Using the Segment Addition postulate, we know the radius (r) = CD + DO → DO = r - 6
Use the Pythagorean Theorem for ΔOBD to find OB:
(DO)² + (BD)² = (OB)²
(r - 6)² + 8² = r²
r² - 12r + 36 + 64 = r²
-12r + 100 = 0
100 = 12r
[tex]\dfrac{25}{3}\quad = r[/tex]
c) Now, find AC. Notice that AC is the diameter.
Diameter = 2r
= 2(OB)
[tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]
b) Lastly, find AD. Using the Segment Addition Postulate, we know that
AD + CD = AC → AD = AC - CD
[tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus 5
Answer:
y=3x+5
Step-by-step explanation:
y=y=y=x+x+x+5 is what I think you were saying. In that case:
y=x+x+x+5
y=3x+5
The equation of the line is y=3x+5
The equation of the given line is y = 2/3 x - 2
The standard form of the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
from the diagram attached, we can use the coordinate (0, -2) and (3, 0)
Get the slope
Slope "m" = 0-(-2)/3-0
m = 2/3
Since the line cuts the y-axis at y = -2, hence the y-intercept is b = -2
Substitute the given parameters into the equation:
y = mx + b
y = 2/3 x + (-2)
y = 2/3 x - 2
Hence the equation of the given line is y = 2/3 x - 2
Learn more here: https://brainly.com/question/17003809
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27