"pyramid = 4
prism = 3
prism = 3
= 3
Wprism
What is the volume of this solid?
O A. 63
O B. 10
O c. 27
O D. 39
Answers
Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V = [tex]s^{3}[/tex]
Where 's' stands for one side of the cube raised to the power of three.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula [tex]s^{3}[/tex]);
V = [tex]s^{3}[/tex]
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = 27, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
What we know of the dimensions for the cube:Length = 3
Width = 3
Height = 3(we won't use)
What we know of the dimensions for the pyramid:Height = 4
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = 12, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= 39 is the volume for this whole solid, your answer is D.
Related Questions
The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answers
Answer:
19.63 in²
Step-by-step explanation:
Given:
[tex]\text{Diameter of circle: 5 inches}[/tex]
Determine the radius of the circle:
The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.
⇒ Diameter/2 = Radius⇒ 5 inches/2 = Radius⇒ 2.5 inches = RadiusDetermining the area of the circle:
The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.
⇒ πr² = Area of circle⇒ π(2.5)² = Area of circleSimplify the square of 2.5:
⇒ π(2.5)(2.5) = Area of circle⇒ 6.25π = Area of circleReplace π with 3.14 (Approx.):
⇒ 6.25(3.14) = Area of circle⇒ 19.625 in² = Area of circleFurthermore, the question said to round to nearest hundredth...
⇒ 19.63 in² = Area of circle
for the quadratic function f(x)=5x^2-2x+3, find f(x+2), f(x+2)-f(x), and f(x+h)
Answers
Answer:
f(x + 2) = 5x² + 18x + 19
f(x + 2) - f(x) = 20x + 16
f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3
Step-by-step explanation:
1. f(x + 2)
[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]
2. f(x + 2) - f(x)
[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]
3. f(x + h)
[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]
What is the area of the trapezoid
Answers
Answer:
153
Step-by-step explanation:
Triange area = 1/2 b*h
= 1/2 (7)*(9)
=31.5 (for 1 triangle)
2(31.5) = 63 (for 2 triangles, left and right)
Rectangle area = b *h
= 10*9
=90
Total = 2 triangles + rectangle
63+90 = 153
Answer: 108
Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108
Which is equivalent to 7/10?
Answers
14/20 , 21/30 ,28/40 & 35/50 all are equivalent ratio to 7 /10
A group of friends went to Starbucks and
ordered 2 muffins and 3 cups of coffee for $22.35.
In the same coffee shop, another group of friends
ordered 4 muffins and 3 cups of coffee for $32.85.
Algebraically determine the price of one muffin and
one cup of coffee.
Answers
Answer:
1 muffin is 5.25 and 1 cup of coffee is 3.95
Step-by-step explanation:
32.85 - 22.35 is 10.5. 10.5 divided by 2 is 5.25 that is the cost of 1 muffin. 22.35 - 10.5 is 11.85. 11.85 divided by 3 is 3.95.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
25.6 MB
Step-by-step explanation:
Question: 256 MB file tha'ts been downloaded 16.4%
256 × 16.4% = 256 × 0.164 = 25.584 (using a calculator)25.584 MB is our accurate answerWe need to round to the nearest 10th.5 is where our 10th isto the right is .08.58 rounds UP to .6We go from 25.584 to 25.625.6 MBAnswer:
42.5 MB.
Step-by-step explanation:
Why?
16.4% of 259 = 42.476
(using a calculator)
Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.
Making the answer: 42.5 MB
Hope this helps!
Write the unit rate for each of the following
Answers
Answer:
1. $36/4 hours = $9per hour
2. 350miles/7hours = 50mile per hour
3. 1.60 / 20 = $0.08 per pen
Which integer has the least value (-17,-7,-12,2)
Answers
What do 32x4x3x2÷5 equal 20 points and brainliest if right.
Answers
Answer:
153.6
Step-by-step explanation:
Answer:
153.6
Step-by-step explanation:
32x4=128
128x3=384
384x2=768
768/5=153.6
LOCKS IN 15 MIN! WILL GIVE BRAINLEST! In a right triangle, the side opposite angle θ has a length of 80 inches, the side adjacent to angle θ has a length of 84 inches, and the hypotenuse has a length of 116 inches. What is the value of tan(θ)?
0.724
1.050
0.690
0.952
Answers
tan θ = 0.952
tan θ = AC ÷ BC
tan θ = 80 ÷ 84
tan θ = 0.952
☆...hope this helps...☆
Solve for the equation x
Answers
Answer:
15.4
Step-by-step explanation:
∠RSA =
95`
95-18=
77/5=
15.4
4 x 15.4=
61.6+7=
68.6
PLEASE ANSWER ASAP!! 57 POINTS!!! BRAINLY!) there were 80 teenagers in line for tickets to a concert. Forty percent were boys. Twenty-six girls wanted $10 tickets. The rest wanted $15 tickets. The results are shown below. $10 $15 Total Вoys ? 18 Girls 26 22 ? Total 40 40 80 How many of the teenagers in line are boys?
Answers
The other boxes are easy to fill in after that.
Total Girls is 48
and
$10 boys is 14
Good luck with your studies!!
What is the first step in constructing an angle? Draw a horizontal ray. Connect the endpoint and the mark at the angle measure Make a mark at the number of degrees you want the angle to be. Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.
Answers
The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.
How to Construct an angleThe first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;
Draw a horizontal ray.Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.Make a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measureRead more on Angle construction;
https://brainly.com/question/8607612
Can someone explain how I would find the value of y in the following equation? I know the answer, I just don’t understand how to do it. Giving Brainliest, please help!
y = 157y/38 - 3,321.485
Answers
Answer:
The answer is, y = 1060.64
Step-by-step explanation:
First, you want to multiply both sides by 38, which gives you
38y = 157y -126216.
Then you want to rearrange:
119y = 126216
then you want to divide by 119, which gives you y=126216/119, which is 1060.64
I'll be expecting my reward :)
Please answer the following questions correctly.
Answers
Answer:
(x_4)^2+(y+1)^2=81
Step-by-step explanation:
you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2
1. A smaller square piece of plywood was cut from a larger square piece. If opposite ends of the remaining plywood have measures 2x + 5 cm and 2x – 5 cm, what expression represents its area?
2. A shipping container has a shape of a rectangular prism. If the area of its base is 49x2 + 14x + 4 sq. ft. and its height is 7x – 2 ft., what expression can be used to represent its capacity?
Answers
Answer:
Plywood1: x = width ; length = 2x
1) x (2x) = 4.5
2) 2x² - 4.5 = 0
a = 2 ; b = 0 ; c = -4.5
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=
2a
−b±
b
2
−4ac
=
2(2)
0±
0−4(2)(−4.5)
=
4
±6
=
2
3
Plywood2: x = width ; length = 2x-1.4
1) x (2x-1.4) = 16
2) 2x² -1.4x -16 = 0
a = 2 ; b = -1.4 ; c = -16
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=
2a
−b±
b
2
−4ac
=
<
1.4±
1.96−4(2)(−16)
br/>2(2)=
4
1.4±11.4
=
3.2
Plywood3: x = width ; length = 5-x
1) x (5-x) = 6
2) -x² +5x -6 = 0
a = -1 ; b = 5 ; c = -6
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=
2a
−b±
b
2
−4ac
=
2(−1)
−5±
25−4(−1)(−6)
=
−2
−5±1
\boxed{x_1=3}
x
1
=3
\boxed{x_2=2}
x
2
=2
BRAIN LESS ANSWER
Henry owns a small business selling clothing. He knows that in the last week 70 customers paid cash, 20 customers used a debit card, and 22 customers used a credit card.
Based on these results, express the probability that the next customer will pay with something other than a debit card as a percent to the nearest whole number
Answers
Answer:
80%
Step-by-step explanation:
it’s 82% but rounded its 80
What is the volume of the right rectangular prism?
A prism has a length of 10 centimeters, height of 3 centimeters, and width of 8 centimeters.
21 Centimeters cubed
42 Centimeters cubed
83 Centimeters cubed
240 Centimeters cubed
Answers
Answer: D: 240 Centimeters cubed
Step-by-step explanation:
Volume = LxWxH
Volume = 10 x 8 x 3
Volume = 240cm³
Your answer is D: 240 Centimeters cubed
What is the mode of the data set?
Math Test Scores
5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
5 0 = 50
Answers
Reason:
We have this stem-and-leaf plot
[tex]\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}[/tex]
where something like [tex]5 \big| 0[/tex] represents the number 50.
The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.
This leaf ties to the stem of 9.
stem = 9 & leaf = 0 leads to the data value 90.
Therefore, the mode is 90
need help on this question
Answers
Answer:
3/7
Step-by-step explanation:
This is because you need to count the tick marks to 1.
That should be 7.
Then you count to the red dot.
That should be 3.
3/7
Answer: 3/7
Step-by-step explanation:
There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.
The red dot is on the third tick, making our numerator 3.
Our answer is 3/7, or [tex]\frac{3}{7}[/tex]
what is 169 +169/23? give answer
Answers
Answer:
4056/23
Step-by-step explanation:
[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]
help me find the total surface area of this shape
Answers
Answer: 808.64 m2
Step-by-step explanation:
please help me solve this
Answers
Answer:
∠ F ≈ 24.2°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then
F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )
Step-by-step explanation:
using the tangent ratio in the right triangle
3. The height in feet of a thrown football is modeled by the equation
f(t) = 6 + 30t – 16t?, where time t is measured in seconds.
a. What does the constant 6 mean in this situation?
b. What does the 30t mean in this situation?
c. How do you think the squared term - 16t2 affects the value of the function f?
What does this term reveal about the situation?
Answers
The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(t) = 6 + 30t – 16t²
Where f(t) is the height of the football after t seconds.
The constant 6 means the football was thrown from a height of 6 feet above the ground.
The expression 30t mean that the velocity of the football is 30, while the term 16t² makes the function to be quadratic.
Find out more on equation at: https://brainly.com/question/2972832
80/180 simplified to its simplest form
Answers
4/9
hope it helps...!!!
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]
Hope this help you out =)
What is the probability of choosing 3 or 4?
Answer:
Answers
1/2 because there are only 2 choices.
for Touya03..............
Answers
This is basically how they got the correct answer.
First they used the area formula:
[tex]\pi \times {r}^{2} [/tex]
So for you that would be:
[tex]\pi \times {9.8}^{2} [/tex]
Which equals
301.7
Since there's a hole in the circle we do the area of a square which is base times height.
Which is 3 x 3 = 9 for your problem
Then we subtract
301.7 - 9 = 292.7 !
Which is almost exactly 292.57 since there is a margin
A rectangular prism has a length of 4m, a height of 11m, and a width of 17m. What is its volume, in cubic m?
Answers
Answer:
748m³
Step-by-step explanation:
Hello!
The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.
Breakdown of [tex]l * w * h[/tex]:
[tex]l[/tex] is length[tex]w[/tex] is width[tex]h[/tex] is heightFind the Volume:
Use the formula and plug in values into the formula.
V = l * w * hV = 4 * 17 * 11748Th units of length are m, and volume is the units cubed, so the units are m³.
The volume is 748m³
Answer:
748
Step-by-step explanation: V= W*H*L
17*11*4= 748m^3
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.
Answers
Step-by-step explanation:
c = cost per person
p = number of people
The cost per person is 1500/p, where
is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.
I believe the inverse variation function is
c = 1500 × 1/p
make sure to ask if you need anything else. :)
After trick-or-treating, Juan counted his candy. He collected 25 pieces of candy and noticed that 2/5 of the candy was chocolate. How many pieces of Juan’s candy were chocolate?
Answers
Answer:
10 pieces of Juan's candy was chocolate
Step-by-step explanation:
to find 2/5 of something, you have to multiply.
of means to multiply.
So then you multiply 2/5 by 25.
[tex]\frac{2}{5}*\frac{25}{1} =\frac{10}{1} =10[/tex]