A pyramid has a rectangular base of dimensions 15 cm and w cm. Given that its height and volume are 18 cm and 826 cm3 respectively, find the value of w.

Answers

Answer 1

Answer:

9.18 cm

Step-by-step explanation:

A  pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.

for a rectangular pyramid, the base is a rectangle  

The volume of a pyramid = 1/3 × (area of the rectangle x height)

Area of a rectangle = length x width

15 x w = 15w cm²

826 = 1/3 x (15w x 18)

multiply both sides of the equation by 3

15w x 18 = 2478

Divide both sides of the equation by 15 x 18

w = 9.18 cm

 

divide both sides by 10


Related Questions


PLEASE HELP ASAP njjjjdkkdjdjfjf

Answers

Answer:

Its 5 over 8

5/8

Step-by-step explanation:

Help pls it open ended soooo???????

Answers

Answer:

8, 9

Step-by-step explanation:

The answer is 8, and 9

72 = x*(x+1)

Lets factor out 72

1 x 72

2 x 36

3 x 24

4 x 18

....

8 x 9

8 and 9 are consecutive

Please help with this math problem

3x + 6 ≥ 24

Answers

Answer: 1X52=73

Step-by-step explanation:

The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

Answers

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°.  The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?

Answers

Where is q????? Need more info!

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

A tennis ball is launched from a catapult from the ground with an initial velocity of 26fps. What is the maximum height of the ball? When will it attain this height? Use H=-16T2+26T

Answers

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

HURRY PLEASE Which function is the inverse of f(x) = -5x – 4?
4
5
F(x) = -**-
o f'(x) =
-3x+
4
-
Of(x) = -4x + 5
og(x) 4x+4

Answers

Answer:

f^-1(x)= -x/5 - 4/5

Step-by-step explanation:

20x - 16y + 32 plz help

Answers

Answer:

4(5x−4y+8)

Step-by-step explanation:

20x−16y+32

Factor out 4.

4(5x−4y+8)

ANSWER:
4(5x-4y+8)

EXPLANATION:
just factor it

The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building

Answers

the building is around 14.14 feet tall

a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14

Answer:

Step-by-step explanation:

The height of the building is 8 rad 3

Approximately 13.9 ft

PLEASE HELP ANSWER ME THIS!!!

Write a function for the indicated transformation.

the function y=5^(x-2) vertically stretched by the factor 3

the function y=7.2^x translated up 8 units

Answers

Answer:

ok mag lazada ka nalang te

Please help me out. I will be picking the brainiest Answer!!!

Answers

Answer: I think the answer is 63.

Step-by-step explanation:

Im sorry if im wrong.

Danny charges $30 for 2 hours of swimming lessons, Martin charges $72 for 4 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny it 60 4 2 hours u save $12

Danny, because Danny charges 15 per hr and Marin charges 18 per hr

whats the mode of $6.00 $6.00 $6.00 $6.00 $5.00 $7.00 $4.00 $7.00​

Answers

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

6x-18=51 solve for x​

Answers

move -18 to the other side
6x=51+18
6x=69
divide both sides by 6
6x divide by 6 and 69 divide by 6
x=11.5

Answer:

11.5

Step-by-step explanation:

add 18 to both sides

divide by 6

What value of x make the equation 24-(3x - 9)-6= -2(4x - 10+ 5x + 7 true?

Answers

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

PLS HELPPP !! BRAINLIEST!!

Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?

A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3

Answers

18cm you multiple it my the figure given

How many 1/5 cup servings are in 5 cups of cereal?

I need the answer ASAP!

I'll give brainliest!

Answers

Answer:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

Graph the following systems of equations and determine the solution of the system .​

Answers

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

Calculate the missing measure in the triangle 35º and 85º

Answers

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

Someone find x !!!!!!

Answers

14. 128
15.25
16.90
those should be right

SOMEONE PLS HELP giving brainlest for right answer and extra points

Answers

Answer:

500,000 people

Step-by-step explanation:

2 x 10^5 x 2.5

= 2 x 100,000 x 2.5

= 200,000 x 2.5

= 500,000

Answer:

500000

Step-by-step explanation:

2×10^5=2×100000=200000×2.5=500000

I NEED HELP ASAP PLS DONT GIVE RANDOM ANSWERS OR LINK I WILL GIVE YOU BRAINLIEST......... thanks :)

Answers

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )

0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *

Answers

40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.

Trigonometry math, help needed!!!

Find Q, R, and S. I think R is 123. I have provided a picture. Please put the right answer I would appreciate it.

Answers

Answer:

Step-by-step explanation:

A cone fits inside a square pyramid as shown. For
every cross section, the ratio of the area of the circle to
Since the area of the circle is the area of the
square, the volume of the cone equals
the area of the square is
or 7
402
o the volume of the pyramid or - Alenchor
arh.
Cross section
r
o the volume of the pyramid or
+(1200)
2n.
o the volume of the pyramid or z { nºm) or
7
2r
2r
22h.
0 Į the volume of the pyramid or = { 29°m) oraz
arh.
m no

Answers

The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

The ratio of the area is given as:

[tex]R= \frac{\pi r^2}{4r^2}[/tex]

or

[tex]R= \frac{\pi}{4}[/tex]

The volume of a cone is:

[tex]V_1 = \frac 13 \pi r^2 h[/tex]

For a pyramid, the volume is:

[tex]V_2 = \frac 43 r^2h[/tex]

Rewrite as:

[tex]V_2 = 4 * \frac 13 r^2h[/tex]

Divide by 4

[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]

Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]

So, we have:

[tex]V_1 = \frac{V_2}{4} * \pi[/tex]

This gives

[tex]V_1 = \frac{\pi}{4} V_2[/tex]

Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

Read more about volumes at:

https://brainly.com/question/9554871

100 points! Look at the picture attached. Random answers and links will be reported

Answers

Answer and Step-by-step explanation:

4. We are finding line AC.

AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).

With that being said, we can equal the expressions together.

-x + 25 = 3(2x - 8)

-x + 25 = 6x - 24

49 = 7x

7 = x

-(7) + 25 = 18

3(2(7) - 8) = 3(14 - 8) = 3(6) = 18

18 + 18 = 36

AC = 36

6. We are finding measure of angle UTW.

We have another angle bisector, so that side is equal to itself (TV ≅ TV)

We have UV and VW having the same length, so those are congruent.

Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.

So, now we can equal the angles together.

2x + 3 = 5x - 24

27 = 3x

9 = x

2(9) + 3 = 18 + 3 = 21

5(9) - 24 = 45 - 24 = 21

21 + 21 = 42

m∠UTW = 42

#teamtrees #PAW (Plant And Water)

(Sorry for the late response, this took some time).

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

Please I need help
I need the equation of the graph below

Answers

Answer:

0x 57=63

Step-by-step explanation:

Will mark brainlest to whoever finds the answer for the square units

Answers

Answer:

32 units squared

Step-by-step explanation:

8(4) = 32

11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35

Answers

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

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