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

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units. An oblique prism with a rectangular base is shown. The rectangular base has a width of 10 units and a length of 13 units. The distance between the top and the bottom base is 17 units. The top base extends 8 units to the right of the bottom base. The top base extends 8 units to the right of the bottom base. What is the volume of the prism? 1,040 cubic units 1,360 cubic units 1,950 cubic units 2,210 cubic units

Answers

Answer:

1,950 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

Area of the rectangle = length × breadth

= 10 units × 13 units

=  130 units^2

Now the volume of the prism is

= Base × height

= 130 units × √(17^2 - 8^2)

= 130 units × 15 units

= 1,950 cubic units

Answer:

1,950 Cubic Units

Step-by-step explanation:

Because I said so.

write an equivalent expression by using the distributive property (un-distributive) and factoring out a common factor. 3x+12-9y=​

Answers

The commoner factor is 3
The equation would be
x-3y+4

Write the equation of a line perpendicular to y= -x + 4 and that passes through point (-5,-4) in slope intercept form.​

Answers

Perpendicular has reciprocal and opposite sign slope
Y = -x + 4, the slope is this is -1
Opposite sign and reciprocal: 1
Y = 1x + b
Plug in point
-4 = -5 + b, b = 1
Solution: y = x + 1

Sarah earned $175 babysitting for her neighbors. If she saved 40% of her money how much did she save?

Answers

Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

what is the new perimeter ​

Answers

Answer:

13¥

Step-by-step explanation:

The new version of the story is a very good to the right the same thing with the new year with a new way ↕️ the most of the world to the next ➡️ the first time I saw it as well as the other hand the first place in the world of difference between the two

What is the total surface area??

Answers

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Janai goes to dinner and the bill comes to $50.00. She
has a coupon for 10% off. Tax is 8%. What is her total
bill?

Answers

Answer:

49 dollars

Step-by-step explanation:

10% of 50 is 5

50 - 5 = 45

8% of 50 is 4

45 + 4 = 49

Pls help! I dont know what to put im horrible at patterns

Answers

Answer:

divide by 4, 12, 21

Step-by-step explanation:

first, look at 20, and 5. How do you get there?

well, there are 2 possible ways.

20/4=5, or 20-15=5

we take it into the next pattern to get

44/4=11, and 44-15=29.

so now we know that the rule is to divide by 4

____________________________________________

36/4 = 12

84/4=21

Answer:

1. 36 / 4 = 9

2. 84 / 4 = 21

Rule: The input divided by 4. (I / 4 = O)

Step by Step explanation:

Look at the first input and output, what do you see? Well, 5 is a multiple of 20, but if 5 is the output, this means that instead of multiplication we're doing division. How many times does 5 go into 20? 4 times, so that's our rule, I / 4 = O. If we use this rule for the rest of the questions, you get the answer.

Rebecca left her house and walked 2 blocks east. She turned and walked 5 blocks north to get
to the library. How far is the direct route from Rebecca's house to the library?

Answers

Answer:

If you talking about how many blocks she needs to walk, the answer is simple: 5 + 2 = 7

But if you use blocks as a sort of lenght measurement system, it's

[tex] \sqrt{7 {}^{2} + 5 ^{2} } [/tex]

I WILL MARK YOU BRAINLIEST JUST PLZ HURRY What is the rule to find the value of the missing term in the sequence in the table at the right? justify your answer

Answers

Answer:

(x-1)x4+1

each value is increasing by exactly 4 for each step shown, starting with 1.

so, 2 becomes

(2-1)= 1

1x4= 4

4+1=5

If you subtract 17 from my number and multiply the difference by -6, the result is 138. What is the number?

Answers

Answer:

Your number is -6

Step-by-step explanation:

-6 - 17 = -23

-23 x -6 = 138

b) John returns from holiday with these notes.
Note
Number
of notes
The exchange rate is £1 = $1.29.
$50
5
Work out how much he will get in total
when he changes these notes.
$20
2
$10
7
$5
3
14)
Sub Answer
acer

Answers

Answer:

£290.70

Step-by-step explanation:

Number of notes of $50 = 5

Total value = 50 × 5 = $250

Number of notes of $20 = 2

Total value = 20 × 2 = $40

Number of notes of $10 = 7

Total value = 10 × 7 = $70

Number of notes of $5 = 3

Total value = 5 × 3 = $15

Total value of all notes with John = 250 + 40 + 70 + 15

                                                        = $375

Since, $1.29 = £1

Therefore, $1 = £[tex]\frac{1}{1.29}[/tex]

Therefore, $375 = £ [tex]\frac{375}{1.29}[/tex]

                           = £290.70  

an
A group of volunteers is delivering holiday gifts to elderly people in nursing homes. Two of
the homes receiving deliveries are 9 miles apart. How far apart are the two nursing homes on
a map with a scale of 1 inch = 3 miles?
inches
el
00
Submit
HR
Sm
out

Answers

Answer:

The map would show them 3 inches apart

Step-by-step explanation:

The map has 3 miles displayed as 1 inch so we divide 1 by 3.

For the circle do I find the circumference or area? That’s all.

Answers

Answer:

i think circumference. good luck :D

Step-by-step explanation:

How can I speak to a tutor

Answers

The best way i think is to contact a school counsellor or school staff! Their job is to help you so if you go to your teacher for help they will help you. If you feel more comfortable working with somebody else, talk to a school staff member and they will either find you a peer tutor or a proffesional tutor! Comment me if you need any help with anything!
contact your school!! or maybe online has some good tools :)

PLEASE I NEED HELP WITH THIS ASAP..

Answers

Answer:

first question is:10.5    and question 2 is:20

Step-by-step explanation:

Hope this helps!

The answer for the first one is 10.5 cm, The answer for the second is Area of 19.63 (1/2*radius)

A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The . correct answer will be C

Step-by-step explanation:

Please find x! Thank you, only if you know!

Answers

Answer:

[tex]\boxed {\boxed {\sf x \approx 23.49 \ cm }}[/tex]

Step-by-step explanation:

This is a right triangle (the small square in the corner signifies a 90 degree angle), so Pythagorean Theorem can be used.

[tex]a^{2} + b^{2} =c^{2}[/tex]

where a and b are the legs of the triangle and c is the hypotenuse. In this triangle, 17 and x are the legs because they form the right angle. 29 in the hypotenuse because it is opposite the right angle.

[tex]a= 17 \\b=x \\c= 29[/tex]

[tex]17^{2} + x^{2} =29^{2}[/tex]

Solve the exponents.

17²=17*17=28929²= 29*29=841

[tex]289+x^{2} =841[/tex]

289 is being added to x and the inverse is subtraction. Subtract 289 from both sides to isolate the variable.

[tex]289-289+ x^{2} =841-289\\x^{2} =552[/tex]

x is being squared and the inverse is a square root. Take the square root of both sides of the equation.

[tex]\sqrt {x^{2} }=\sqrt {552}[/tex]

[tex]x=23.4946802489[/tex]

Let's round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 9.

[tex]x \approx 23.49[/tex]

x is approximately 23.49 centimeters.

What is the surface area of the cone?




14 in²

43.96 in²

50.24 in²

56.52 in²

Answers

I think it is 14 in2
Hope this helps ❤️

The surface area of the cone is 56.52 in².

What is Surface Area?

An object's surface area is the total area that all of its surfaces occupy. Many 3D shapes in geometry have various surface areas, which are simply calculable using the formulas.

As per the given diagram:

slant height of the cone (l) = 7 inch

radius of the cone (r) = 2 inch

For the surface area of the cone:

= πr(l+r)

= (22/7) × 2 × (7 + 2)

= (396/7)

= 56.52 in²

Hence, the surface area of the cone is 56.52 in²

To learn more on Surface Area, click:

brainly.com/question/29298005

#SPJ3

OKAY PLEASE HELP :C I GOTTA WAKE UP EARLY TOMMOROW

Answers

Answer:

C = 37d

Step-by-step explanation:

$37 dollars each day, the amount of days is unknown, so it needs a variable.

Answer:

C is $37 dollars

Step-by-step explanation:

Do I have to explain :^

If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters

Answers

Answer:

the length of PQ is 8.9 m

Step-by-step explanation:

The computation of the length of PQ in meters is shown below:

Here we applied the Pythagoras theorem

c² = a² + b²  

 = 4² + 8²

 = 16 + 64

= 80

Now square root to the both sides

c = √80

=  8.94427191

= 8.9 m

Hence, the length of PQ is 8.9 m

another question of the homework

Answers

Answer:

Jessica's trains travels at a faster speed

Step-by-step explanation:

From the question,

Using the graph,

The total distance distance traveled by Khalid after 2 hours is

d = 280 mi.

S = d/t....................... Equation 1

Where S = Khalid's speed, d = Khalid's distance, t = time.

S = 280/2

S = 140 mph.

From the euqation,

The total distance traveled by Jessica after 2 hours is

y = 150×2

y = 300 mi.

Also Using

S' = d'/t

Where S' = Jessica's speed, d' = Jessica's distance

S' = 300/2

S' = 150 mph.

From the above, Jessica's trains travels at a faster speed

(02.02)
The sum of three consecutive integers is 267. What is the largest integer? (1 point)

Answers

Answer:

90

Step-by-step explanation:

88 plus 89 plus 90 is equal to 267

Pls pray for me of this is the last one-

Answers

The answer is X=63 , y=27

Help me with this!!!

Answers

Answer:

Yes

Step-by-step explanation:

You can use the perpendicular bisector theorem, because the bisecting line is intersecting at a right angle, which means it is actually perpendicular. Along with IJ and IH being congruent (equal)

Convert the following into an array.
2x + 3y = 5

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Which one of these grids is shaded red and blue in the ratio 0.5:1?
А
B
C
D
E
F

Answers

Answer:

B

Step-by-step explanation:

because one of 1/3 of the grid is 4.B has 4 blue coloured tiles of the grid

I hope this helps a little bit

I found the question you were talking about here:-

Please help, but only answer if you know how to do the problem correctly :))

Answers

Answer:

ighhhhhhhhhhhh

Step-by-step explanation:

2 angles are complementary if the sum of their measures is 90°.

a) 90°-55°=35°

The complement is 35°

2 angles are supplementary if the sum of their measures is 180°.

b) 180°-53°=127°

The supplement is 127°

What is the perimeter of the composite figure?

Enter your answer in the box.
perimeter = yd

Answers

Answer: 38 yd. plz mark me brainliest

Step-by-step explanation: Square: 4+4+4+4=16 6+8+8=22 so 22+16=38 so 38 yd. plz mark me brainliest. (tap the crown on the bottom right of an answer) there has to be 2 answers if there is no crown and 2 answers then reload the page.

Answer:

in big TRAINGLE

by using Pythagoras law

other side =√(6²+8²)=10yd

perimeter of composite figure =6+4+4+4+4+10=32yd

what is the Variable in
3x + 7

Answers

the variable is x, that's all

Answer:

x is the variable

3 is the coefficient, 7 is the constant, and + is the operator.

Here's how to identify other terms:

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