Mathematics Middle School

A square pyramid has a height “h” and a base with side length “b”. The side lengths of the base increase by 50% write a formula for the volume of the new pyramid in terms of b and h.

Answers

Answer 1
1/2 (b*h) is the formula for finding base and hight. Since its 50% i would say its a dilation.
Answer 2
[(h×b)×1.5]=v
h-height
b-base
1.5- an increase
v- volume

Related Questions

fill in the blank to make an equivalent ratio
_ : 6 = 4 : 3

Answers

8 is the answer.
Basically for 3 to equal 6 you multiply it by 2, so if you do that to 4, you get 8.
To check ur answer u can do 8:6 can be simplified to 4:3 if you divide both by 2.
your answer will be 8 .

There is 1/4 ounce of yeast in every 2 and 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?

Answers

How many ounces of yeast are needed for this recipe?

-4.2 (-2.8+4.5) what is the value of the expression

Answers

-7.14 should be your answer!

triangle ABC is an obtuse isosceles triangle. angle a measures 20°. what is the number of degrees in the measure of the largest interior angle of tiangle ABC

Answers

The largest angle must be the single angle, so there are two angles that are 20 degrees. 20 + 20 is 40, and because the sum of all angles in a triangle is 180 degrees, you must subtract 180 - 40, and you get 140 degrees as the largest angle. Hope this helps!

Is 789 a terminating, Repeating, or Non-repeating Decimal?

Answers

789 is a repeating decimal

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)

Answers

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is [tex] \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} } [/tex]

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by [tex]8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h [/tex]

Area of the four side faces of the aquarium is 4 times the length of the base times the height = [tex]4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}[/tex]

Total area to be covered by grass is the base and the four side faces and is given by [tex]\frac{20}{h}+\sqrt{320h}[/tex]

Cost of the entire metal frame = [tex]7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h [/tex]

Cost of the entire grass = [tex]8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h[/tex]

Therefore, total cost in terms of the height, h, is given by

[tex]C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h[/tex]

Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much dog food , in pounds, was remaining in the bag at the end of the two months ? Show your work ..... How many pounds

Answers

102/5+10 4/5=20 2/5+4/5=21 1/5 ..... 25-21 1/5= 3 4/5
Hey there,   10 2/5 + 10  4/5 = 21   1/5   25 - 21   1/5= 3  4/5

There is 3 4/5 pounds left!

HOPE I HELPED!!!!!!!!!!!!!

is 3 yds less than 21 ft

Answers

3 yd = 9 feet

21 feet > 3 yd

hope this helps

What is the sum of the Linear expression 2n+6 and 6n-2

Answers

Hello there! ^-^ 

To solve, do the following. 

2n + 6 = 8n and 6n - 2 = 4n 

I think you can take it from here ;) 

If not just simply message me

Of 140 seventh grade students, 15% earn the presidential physical Fitness award. How many students earn the award

Answers

To find this answer you need to multiply the percent by the total, in this case 15% times 140. Remember to change the percent into a decimal (0.15). 

0.15 (140)= 21

21 people earned the award

Hank has 48 fish in his aquarium. He has 11 times as many tetras as quppies. How many of each type of fish does Hank have?

Answers

He has 4 Quppies and 44 tetras
4 quppies and 44 tetras

Mr. Welch bought 24 ft of fencing.

How many yards of fencing did he buy? (1 yd = 3 ft)

Answers

1 yard = 3 feet

 divide 24 feet by 3 feet to get yards

24 / 3 = 8 yards

If Mr. Welch bought 24 ft. of fencing and 1 yd. is equal to 3 ft., then what we would do is divide 24 by 3 which equals 8. Therefore, he bought 8 yd. of fencing.

find the percent change from 70 to 56

Answers

This would be a 20% decrease. Since your going from 70 to 56, you would have a percentage of 20 for your decreasing percentage. The difference total is -14.

Step-by-step explanation:

Total Number = 70

Difference of two numbers = 70-56

= 14

Converting into percent = 14/70×100

= 20%

For which of the following is the arc between the two hands of a clock greater than a semicircle?


The hands are at 11 and 6; arc measured counterclockwise

The hands are at 2 and 8; arc measured clockwise

The hands are at 2 and 8; arc measured counterclockwise

The hands are at 11 and 6; arc measured clockwise

Answers

Hi there!
The answer to your query is C) The hands are at 2 and 9; arc measured counterclockwise. We can find this by plotting all the choices on a clock. Hope this helps! 

A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. a. 4 in = 2 ft c. 8 in = 4 ft b. 1 in = 2 ft d. 8 in = 10 ft Please select the best answer from the choices provided

Answers

B. 1 in = 2 ft

4/8 ÷ 4 = 1/2

suppose a+b=2a. which one of these expressions equals b-a?
A. 2b
B. 2a
C. 0
D. a/b
E. -2b

Answers

If a + b = 2a, then

a + b - 2a = 2a - 2a
b + a - 2a = 2a - 2a
b - a = 2a - 2a = 0

Therefore, b - a = 0.
ANSWER

C.
[tex]0[/tex]

EXPLANATION

The given equation is

[tex]a + b = 2a[/tex]

We make b the subject to get,

[tex]b = 2a - a[/tex]

This simplifies to,

[tex]b = a[/tex]

Subtracting
[tex]a[/tex]
from both sides will give us,

[tex]b - a = a - a[/tex]


The right hand side will now simplify to zero,

Therefore

[tex]b - a = 0[/tex]

Rhonda sells textbooks. Her paycheck is found using the formula p=30b+15, where b is the number of textbooks she sells. Solve the formula for b.

Answers

p = 30b + 15...subtract 15 from both sides
p - 15 = 30b...now divide both sides by 30
(p - 15) / 30 = b or 1/30p - 1/2 = b

(20 points)

What is the perimeter of the figure?

229-4/9 ft
229-2/3 ft
230-2/3 ft
231 ft

Answers

60 5/6 + 56 1/6 = 117

59 1/3 + 54 1/3 = 113 2/3

117 + 113 2/3 = 230 2/3 feet

Triangle ABC is dilated with a center at the origin and a scale factor of 2. What are the coordinates of triangle A’B’C’?

Answers

The coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

Given that, triangle ABC is dilated with a center at the origin and a scale factor of 2.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From the given graph, A(-2,2), B(1, 3) and C(-1, 0)

By using a scale factor of 2, we get

A(-2,2)→2(-2, 2)=A'(-4, 4)

B(1, 3)→2(1, 3)=B'(2, 6)

C(-1, 0)→2(-1, 0)=C'(-2, 0)

Therefore, the coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

To learn more about the dilation visit:

https://brainly.com/question/13176891.

#SPJ2

you buy 12 apples. you also buy a box of cereal for $3.35. the bill is 8.75. how much does each apple cost

Answers

each apple costs .45
Answer is $0.45 EACH of apple
Total 12 apple = $5.40

I got this by 
8.75-3.35=5.40
5.40/12
Each apple cost $0.45

3/5 List the first five multiples of the denominator of the fraction in order.

PLS I WILL GIVE 20 POINTS AND BRAINLIEST

Answers

5: 5, 10,15,20,25 ( Not sure if 5 counts as one, if it does not, then 30 is another multiple.)

PPPLLLEEEZZZ HHHEEELLLPPP Select from the drop-down menu to correctly identify the property shown.

(−3.4+(−1.5))+6.2=−(3.4+1.5)+6.2

Answers

I believe it is Associative
Associative property

What is the equivalent ratio to 64/256?

Answers

1:4 because both numbers can be divided by 64.


HELP PLEASEEE 35 POINTSS WILL GIVE BRAINLIEST
Which is a correct two-column proof?

Given: Prove: L ll N

Answers

i am pretty sure its b
Your answer is going to be D none of these because supplementary angles are angles that two letters are across from its not A because G, and Z are correct but not H, and X its not B because neither H, and X are not supplementary angles and when it came down to rather C, or D I choose D because neither H, and X or E, and X are supplementary angles that's why I had to choose D because it was the only logical answer.                                                                                            Your answer is D. 

What is the smallest power of 10 that would exceed 999,999,999,991

Answers

69..............should of listened in class
10 to the power of 11 = 100000000000

5 different mixed numbers that add up to 10 with only 3rds and 4ths

Answers

1 1/3
2 2/3
1 2/4
3 1/4
1 1/4

Rotate 180 around the origin, and then translate 6 units to the left. (-2, -8) (-6, -8) (-11, -1) (-7, -3)

Answers

(2,8) (6,8) (11,1) (7,3)

PLEASE HELP 30 points!!!!

what is the slope of this line in the picture?

Answers

the answer is 1/4
because the answer 3/12 = 1/4

Which show another way to write the ratio 13:9 ?

Answers

another way to write 13:9  include:

26:18 (x2 to both)
39:27 (x3 to both)

hope this helps

ASAP please help me

Answers

So his lawn can be divided into 4 shapes: 1 rectangle, 2 triangles, and an irregular shape. So you get the area of the rectangle which is 48*120=5,760.

For the part above the rectangle, you can see that the 2 triangles and the irregular shape make one large triangle so take the area of that. (I’m going to refer to this as the BIG triangle).
.5*40*120=2,400
The base of the triangle is equal to the base of the rectangle. The height of the triangle you get by subtracting the height of the WHOLE lawn by the height of the rectangle. (88-48=40).

Inside that large triangle made up of three shapes, you can see another triangle that’s made up of one triangle and the irregular shape. I’ll refer to this triangle as triangle 1.
Take the area of that triangle.
.5*25*75=937.5
The base of the triangle you get by adding the base of the smaller triangle and the irregular shape. (51+24=75)

Inside the triangle you just took the area of (triangle 1) is another triangle (which I’ll refer to as triangle 2). Take the area of triangle 2.
.5*51*17=433.5

Subtract the area of triangle 1 by the area of triangle 2 and that’ll give you the area of the irregular shape.
937.5-433.5=504

So now you add the areas of the BIG triangle and the rectangle.
5760+2,400=8160
Make sure you subtract the irregular shape since it isn’t part of the lawn’s area.
8160-504=7656

So the lawn is 7656 square feet. Multiply it by .005. That equals 38.28. That’s how much fertilizer he needs to use.

Multiply 1.25 to 38.28 to get the amount of money he needs to spend.

47.85 dollars

I might’ve made a few mistakes but I hope my reasoning was at least understandable

When I look at this figure, I see two polygons.
1) A large trapezoid with sides 48 ft and 88 ft, and non-parallel sides 136 ft and the top side that includes the dashed part.
2) A small trapezoid with parallel sides 17 ft and 25 ft, and non-parallel sides 24 ft and the dashed segment on top.

The area of the lawn is the area of the large trapezoid minus the area of the small trapezoid.

Area of trapezoid = (B + b)h/2
where B = large base, b = small base, and h = height.
(The height is perpendicular to both bases.)

Large trapezoid:
A = (88 ft + 48 ft)(120 ft)/2 = 8160 ft^2

Small trapezoid:
A = (25 ft + 17 ft)(24 ft)/2 = 504 ft^2

Area of lawn = area of large trapezoid - area of small  trapezoid

Area of lawn = 8160 ft^2 - 504 ft^2

Area of lawn = 7656 ft^2

Weight of fertilizer:
0.005 * 7656 = 38.28 lb

Cost of fertilizer:
1.25 * 38.28 = $47.85
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