Answer:
172.12 in²Step-by-step explanation:
Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.
Area of semicircle:
A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²Area of rectangles:
7*9 = 63 in²6*14 = 84 in²Total area:
25.12 + 63 + 84 = 172.12 in²The figure below consists of a square and a right triangle. Find the missing length x.
Answer:
15 cm
Step-by-step explanation:
Since the square's side length is 8 cm, and one of its sides is the short leg of the triangle, the short leg of the triangle is 8 cm
Using the pythagorean theorem, solve for b (the missing side length x)
a² + b² = c²
8² + b² = 17²
64 + b² = 289
b² = 225
b = 15
So, the missing side length is 15 cm
Topic: Reduced row echelon form
Thanks for the help in advance
Let f, s, and t denote the hours needed by the first, second, and third sellers, respectively, to sell a given plant.
"In one hour, the first grower sells 3 fly traps … The second grower sells 1 fly trap … The third grower sells 3 fly traps …" - this means that for each hour f, the first grower sells a total of 3f fly traps. Similarly, the second grower sells 1s fly traps, and the third grower sells 3t fly traps. Together, they want to sell 39 fly traps, so that
3f + s + 3t = 39
You set up two more equations for the sundews and bladderworts:
f + 2s + 2t = 30
2f + s + 2t = 28
Now write the system of equations in augmented matrix form and row reduce it:
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\1&2&2&30\\2&1&2&28\end{array}\right][/tex]
Add row 1 to -3 (row 2); this is to say, treating each row as a list, multiply through the second row by -3, then add the first row to that result. For example,
(3, 1, 3, 39) + -3 (1, 2, 2, 30) = (3, 1, 3, 39) + (-3, -6, -6, -90)
… = (3 - 3, 1 - 6, 3 - 6, 39 - 90)
… = (0, -5, -3, -51)
Also, add 2 (row 1) to -3 (row 3) :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&-5&-3&-51\\0&-1&0&-6\end{array}\right][/tex]
Multiply through the last two rows by -1 to make everything positive, and swap them around:
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&5&3&51\end{array}\right][/tex]
Next, add -5 (row 2) to row 3 :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&3&21\end{array}\right][/tex]
Multiply through row 3 by 1/3 :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
Add -1 (row 2) and -3 (row 3) to row 1 :
[tex]\left[\begin{array}{ccc|c}3&0&0&12\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
Multiply through row 1 by 1/3 :
[tex]\left[\begin{array}{ccc|c}1&0&0&4\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
This row-reduced matrix tells you that f = 4, s = 6, and t = 7. In other words, in order for the three growers to collectively sell the required number of plants, the first seller needs to work for 4 hours, the second seller needs to work for 6 hours, and the third seller needs to work for 7 hours.
Find the area of the composite figure use 3.14 for pi
Answer:
the area is 200.96
Step-by-step explanation:
Answer:
89.135
Step-by-step explanation:
Is 1,4,9,16 an arthmetic sequence
Answer: No
Step-by-step explanation:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term
Can y’all help me with this
2 (3)^3 + 5
And explain how you got it
Answer:
59
Step-by-step explanation:
3^3=27
2x27=54
27+54+5=59
Answer:
2 times 3 i 6 o 3 plus 5 equal 8
Step-by-step explanation:
beca you supoed to multiply ad divide
I dont know the answer!! I give brainlist...
Answer:
A. (f + g)(1) = - 9
B. (f - g)(0) = -7
C. (fg)(3) = 0
Step-by-step explanation:
A. (f + g)(1) = f(1) + g(1) f(1) = 1^2 - 9 = 1 - 9 = - 8 g(1) = 1 - 2 = - 1
= -8 -1 = -9
B. (f - g)(0) = f(0) - g(0) f(0) = 0^2 - 9 = 0 - 9 = -9 g(0) = 0 - 2 = -2
= -9 + 2 = -7
C. (fg)(3) = f(3)(g(3) f(3) = 3^2 - 9 = 9 - 9 = 0 g(3) = 3 - 2 = 1
= 0(1) = 0
Which equation does not belong with the other three?
B
C
А
D
15y = 6x
2
y = -x
5
10y = 4x
5xy = 2
OD
ОА
B
Ос
Answer:
The Right option is D
Step-by-step explanation:
From the picture below,
For A,
15y = 6x
Where we divide both side of the equation by 3
15y/3 = 6x/3
5y = 2x
For B,
y = 2/5(x)
y×5 = 2x
5y = 2x.
For C,
10y = 4x
Divide both side of the equation by 2
10y/2 = 4x/2
5y = 2x.
For D,
5xy = 2. It can not be simplified futher.
Therefore,
From the above simplification, We can see that,
Equation A = Equation B = Equation C.
Equation D is the only Equation that does not belong to the other three.
Hence the right option is D
Solomon rolls a six–sided die twice. What is the probability that he will get a 3 on one roll and 6 on the other roll?
Answer:
A
Step-by-step explanation:
Since each number is only shown once and there are six numbers, the probability of getting them is 6. Multiply the first times the second, and there's your answer.
Answer:
A) /36
Step-by-step explanation:
P(3) = 1/6
P(6) = 1/6
P(3 AND 6) = 1/6 x 1/6 = 1/36
hey im asking this question so u can get points lol
what color is the sky??
Step-by-step explanation:
it appears blue to the human eye.
Howard deposited some money in the bank. How long will Howard have to leave $5000 in the bank to earn $250 in simple interest at 2%.
Answer:
t = 2.5 years
Step-by-step explanation:
Given that,
Principal = $5000
Interest = $250
Rate of interest = 2%
We need to find the time. We know that,
[tex]I=\dfrac{PRT}{100}[/tex]
Put all values to find T.
[tex]T=\dfrac{100I}{PR}\\\\T=\dfrac{100\times 250}{5000\times 2}\\\\T=2.5\ yrs[/tex]
So, it will take 2.5 years.
What group of americans were helped by andrew jackson
(6.8 X103)-(7.2 X 10)
1.1 X 104
X 10
Answer:
[tex]5.5\times 10^{-1}[/tex]
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{6.8\times 10^3-7.2\times 10^2}{1.1\times 10^4}[/tex]
We can solve it as follows :
[tex]=\dfrac{6800-720}{11000}\\\\=\dfrac{6080}{11000}\\\\=0.55[/tex]
or
[tex]=5.5\times 10^{-1}[/tex]
So, the required answer is equal to [tex]5.5\times 10^{-1}[/tex].
Help me with these Linear Equations please!!!
(Don’t send fake links)‼️
Answer:
Well, for (D), the answer would be 32.
Step-by-step explanation:
Because, 20 +12 =32. And 32 - 12 = 20. With the other ones that add, its the same way. You can just for example, if its -5 + b = -40, you can just go 5 - 40= which equals 35. Which should give you 40 if you add 35 and 5 together.
Select the correct answer. Consider functions f and g. f(x) = x^3 + 5x^2-x Which statement is true about these functions? A. Over the interval , function f and function g are decreasing at the same rate. B. Over the interval , function f is increasing at the same rate that function g is decreasing. C. Over the interval , function f is decreasing at a faster rate than function g is increasing. D. Over the interval , function f is increasing at a faster rate than function g is decreasing.
Answer:
4.0/5
12
The second statement.
Step-by-step explanation:
Any increasing exponential function will always eventually be greater than any other non-exponential function.
The statement that is true from the function given above is:
"Over the interval [-2, 2], function f is increasing at a faster rate than function g is decreasing." (Option D)
A function in mathematics is known as an expression of a relationship involving two variables:
Dependent and Independent, using a mathematical connotation.Why is option D a True statement?It is clear from the number array (attached) that x > 0, f(x) ↑ while x< 0 f(x) ↓.
While for g(x) it is confirmed that 0 <x<2, gx) ↓.
[-2< x< 0, g(x) may ↓ or ↑]
Hence, x from 0 to 2, g(x) from 6 to -16, that has been modified for 22 while the f(x) changes from 0 to 26, and changed from 26, 26 > 22.2
Learn more about functions at:
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Is a circle a function?
Step-by-step explanation:
a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then a circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.
AJLK ~ APQR . Find the value of x.
12
18
6
X
4
5
K
Q
15
R
x=
Answer:
This answer is 5
Step-by-step explanation:
Does anyone know this?
Help please and show work.
Answer:
x = 17.2
Step-by-step explanation:
[tex]x = 21 \: cos 35 \degree \\ \\ x = 17.20219293 \\ \\ x = 17.2[/tex]
Answer:
17.2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos = adjacent/ hypotenuse
cos 35 = x/21
21 cos 35 =x
17.2021293=x
Rounding to the nearest tenth
17.2
Find the tangents of the acute angles in the right triangle
angle E to F=7
D to F 25
D toE=24
write as a fraction
f=50
d=40
Hope this helps
What is the slope of the line that passes through the points (-5,2) and (-7,6)
Answer:
-2
Step-by-step explanation:
Given the median QR and trapezoid MOPN, what is the value of x?
5x - 7
P
27
Q
R
6x + 6
N
O A. 6
O B. 18
O C. 2
O D. 5
O E. 7
o
F. Cannot be determined
Answer:
D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = ½(OP + MN)
Substitute
27 = ½((5x - 7) + (6x + 6))
27 = ½(5x - 7 + 6x + 6)
Add like terms
27 = ½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
Sherane rolls a standard, six-sided number cube. Find p (not composite).
Answer:
2/3
Step-by-step explanation:
A six sided number cube :
Sample space = (1, 2, 3, 4, 5, 6)
Non composite numbers on a six sided number cube = (1, 2, 3, 5)
Probability of an event = required outcome / Total possible outcomes
Required outcome = number of non composite numbers = 4
Total possible outcomes = sample space = 6
P(not composite) = 4 / 6 = 2/3
d) –4 + 3 ( 2 – x) = –8
Daje naj
Answer:
x = 3 and 1/3, or 3.333333...
Step-by-step explanation:
I'm assuming again that you want to find x
–4 + 3 ( 2 – x) = –8
Multiply
-4 + 6 - 3x = -8
Add 4 to both sides
6 - 3x = -4
Subtract 6 from both sides
-3x = -10
Multiply by -1
3x = 10
Divide by 3
x = 10/3
PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.
Answer:
d = 15.8 m
Step-by-step explanation:
Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is
d = √(9² + 13²) = √250 = √25·√10 = 5√10
To the nearest tenth, this comes to d = 15.8 m
Answer: 15.8
Step-by-step explanation:
En una asamblea del colegio acuden padres de los cuatro cursos de la ESO. La cuarta parte de los padres son de 1º ESO, la décima parte son de 2ºESO, la cuarta parte son de 3º ESO y 56 padres son de 4º ESO. a)¿Cuántos padres acudieron a la asamblea? b)¿Cuántos padres de 1ºESO acudieron a la asamblea? c)¿Cuántos padres de 2ºESO acudieron a la asamblea? d)¿Cuántos padres de 3ºESO acudieron a la asamblea?
Answer:
Parents from the four ESO courses attend a school assembly. A quarter of the parents are from 1st ESO, a tenth are from 2nd ESO, a quarter are from 3rd ESO and 56 parents are from 4th ESO. a) How many parents attended the assembly? b) How many parents from 1ºESO attended the assembly? c) How many parents of 2nd ESO attended the assembly? d) How many 3rd grade parents attended the assembly?
Step-by-step explanation:
YALL HAVE BEEN GETTING THESE WRONG LATELY SO PLZ HELP HELP
Answer: use the brainly app on your phone the take a picture of it
Step-by-step explanation:
Answer:
m=-4/3
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
m=(y2-y1)/(x2-x1)
m=(12--4)/(1-13)
m=16/-12
m=-4/3
What is (3 x 10^3) / (12 x 10^6)
Answer:
(3 x 10^3) / (12 x 10^6) = 0.00025
Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. In centimeters, what is the combined length of their two shoes?
Answer:
27.7 cm
Step-by-step explanation:
(12,45cm + 2.8cm)=(belinda's shoe+felix added cm)= felix's shoe
12,45cm= belinda shoe
combined lenght = 12,45+ 15,25=27.7 cm
The combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
How to measure the length?Length measurement is the measurement of the size of a object. The units of length measurement are meter, feet, yards etc.
In the metric system of length measurement the units are meter, kilometer, centimeter etc.
Centimeter-This unit is used when the size of a small object has to measure, such as match box, books. There are total 100 centimeters in one meter.Meter-This is the basic unit of length measurement of size. The size of room, length of wall measured in centimeter.Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. Let suppose the length of Felix's shoe is x meters. Thus,
[tex]x=12.45+2.8\\x=15.25\rm\; cm[/tex]
In centimeters, the combined length of their two shoes is,
[tex]l=15.25+12.45\\l=27.7\rm\; cm[/tex]
Thus, the combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
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plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.