A triangular pyramid has a volume of 48 in3. The base edge is 9 in and the base height is 4 in. Find the height of the pyramid.

Answers

Answer 1

Answer:

8 in

Step-by-step explanation:

First of all we have to find the area of the base triangle.

For do this we can use this formula:

A = (base edge x base height)/2

A = (9 x 4)/2 = 18 in^2

The formula for find the volume of a pyramid is:

V= Base area x height)/3

So the height can be find in this way

3 x  V = base area x height

height = (3 x V)/base area

height = (3 x 48)/18 = 8 in

Answer 2

Answer:

pretty sure it is 8in I think


Related Questions

yo i need help on my exit ticket please i don’t need no links i just need the answer pleaseeeee

Answers

Answer:

B

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

V=3.14*[tex](16/2)^{2}[/tex]*3

V=3.14*[tex]8^{2}[/tex]*3

V=3.14* 64*3

V=602.88 which rounds up to 602.9

Factoring tinomials
3) 3n^2-8n+4
5) 2y^2+11v+5
7) 7a^2+53a+28
Do all please

Answers

3) (3x-2)(x-2)
5) (x+5)(2x+1)
7) (x+7)(7x+4)

Use the points (1997, 13) and (2005, 22) to write the slope intercept form of an equation for the line of fit shown in the scatter plot. Round values to the nearest hundredth.

A. y=0.89x+1985.44
B. y=1.13x-2243.65
C. y=1.13x-2233.63
D. y=0.89x-1985.44

Answers

Answer: C. y=1.13x-2233.63

The slope-intercept form of an equation for the line of fit shown in the scatter plot is; C. y=1.13x-2233.63

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We can observe that the line of best fit on this scatters plot passes through points (1997, 13) and (2005, 22).

Using the slope formula,

⇒ slope = (22 - 13)/(2005 - 1997)

slope = (9)/8

Also, the slope-intercept form of an equation for the line of fit shown in the scatter plot is;

y - 13 = (9)/8(x - 1997)

y = 1.13x  -2233.63

Therefore, the slope-intercept form of an equation is y = 1.13x  -2233.63

Learn more about slope and y-intercept here:

brainly.com/question/12763756

#SPJ2

Find the Greatest Common Factor of 25c2 and 10w2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25c^2: 1,5,25,c,\& \ c}[/tex]

[tex]\mathsf{10w^2: 1,2,5,10,w,\& \ w}[/tex]

[tex]\large\textsf{GCF: \underline{5} because that is the HIGHEST factor both numbers share}\\\large\textsf{together}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: the \bf GCF (\underline{G}reatest \underline{C}ommon \underline{F}actor) is \huge 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What are the answer for your these questions?

Answers

Answer:

a. 11

b. 9

Step-by-step explanation:

A:

2 x 4 = 8

8 + 3 = 11

B:

-2 x -2 = 4

4 + 5 = 9

Hope this helps! Let me know if it was right!

During the past 7 weeks digo spent between 11 and 17 for much lunch each week

Answers

This is not a proper question. Try adding some more information so that it can be solved!

write in slope intercept form: 4x-5y= -20

Answers

Step-by-step explanation:

4x - 5y = -20

-5y = -4x -20

y = 4/5x + 4

the answer is y= 4/5x + 4

An equation is represented by the model below

What is the value of x that makes the equation true?

If you can may someone explain how to do this also? Thanks!​

Answers

Answer:

The value of x=5!

Step-by-step explanation:

I remeber ing this!!!:)

What is the area of this regular pentagon that has been divided into five congruent triangles?

48 [tex]cm^{2}[/tex]

120 [tex]cm^{2}[/tex]

100 [tex]cm^{2}[/tex]

24 [tex]cm^{2}[/tex]

Answers

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

PLS HELP! VERY IMPORTANT
The surface area of a cone is determined by the equation SA= a rs + a r2, where r is the radius and s is the slant
height. The functions f(x) and g(x) both model the surface area of a cone. One of the functions represents the
surface area of a cone with a radius of 5 and a slant height of x. The other function represents the surface area of a
cone with a slant height of 5 and a radius of x. Which statement correctly matches the description of the function
with the domain of the function in the context of the problem situation?
The function f(x) models the surface area of a cone with a radius of 5, a slant height of x, and has a domain in
the context situation of x < 5.
® The function f(x) models the surface area of a cone with a radius of 5, a slant height of x, and has a domain in
the context situation of x > 5.
© The function g(x) models the surface area of a cone with a radius of 5, a slant height of x, and has a domain in
the context situation of x < 5.
The function g(x) models the surface area of a cone with a radius of 5, a slant height of x, and has a domain in
the context situation of x>5.

Answers

Answer:

r = 5, h = 5, SH = 7.07106781, V = 130.899694, LSA = 111.072073, BSA = 78.5398163, TSA = 189.61189

Step-by-step explanation:


HELP PLEASE

1. 5x + 7 = 2x + 16
2. 3x + 4 = 5x – 10

Answers

Answer:

1. x=3

2. x=7

Step-by-step explanation:

I'm really confused about this question

Answers

Answer:

A. 10 ft

Step-by-step explanation:

Since dimensions of the wall are similar to the dimensions of the window.

Therefore, lengths and widths of wall and window would be in proportion.

So,

[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]

I think it is A:10ft

Joe has seven boxes of markers
and each box has eight markers.
How many markers doe she have
altogether?

Answers

it’s will be 8 x 7 which is 56

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]7[/tex]×[tex]8[/tex][tex]=56[/tex]

Please help me, much appreciated

Answers

Answer:

3 numbers are less than the mean. the mean is 17.4 so any number below that

In the figure below, the measure of angle ABD = 64 degrees. The measure of angle ABC = 3x + 6. the measure of angle CBD = 2x - 2. Using the angle addition postulate, find the value of x.

Answers

Answer:

x=12

Step-by-step explanation:

just combine them so they equal the 64 then solve from there and you get 12.

solve the triangle give the measure of angle G

Answers

Answer:

G = 46 degrees

Step-by-step explanation:

Here, we want to find the measure of angle G

Mathematically, as we can see, what we have is a right triangle

For a right triangle , the sum of angles is 90 degrees

Thus, if we add the two internal angles, we get 90 degrees

Hence;

44 + G = 90

G = 90-44

G = 46 degrees

Graph the function f(x)= -2.5x^2

Answers

Answer is in the pictures I promise nothing bad.

Use desmos to graph stuff by the way.

Triangle ABC is graphed on a coordinate plane with vertices at A (-3,7), B (9,-8), and
C(-5, -6). If triangle ABC is dilated by a scale factor of m with the origin as the center
of dilation to create triangle A'B'C', what will be the coordinates of the dilated vertex
B?

Answers

Answer:

Step-by-step explanation:

What is the simplified form for each expression 361/4•361/4

Answers

Answer:

the simplified from each expression is divide

Hopes this helps:

Answer: 8145 1/16

I use this app called Cymath to get the answer.

What is the perimeter of the rectangle whose vertices are at (6, 3), (−6, 3), (−6, −1), and (6, −1)?

Answers

Given:

The vertices of a rectangle are (6, 3), (−6, 3), (−6, −1), and (6, −1).

To find:

The perimeter of the rectangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Let the vertices of a rectangle are A(6, 3), B(−6, 3), C(−6, −1), and D(6, −1).

Using the distance formula, we get

[tex]AB=\sqrt{(-6-6)^2-(3-3)^2}[/tex]

[tex]AB=\sqrt{(-12)^2-(0)^2}[/tex]

[tex]AB=\sqrt{144}[/tex]

[tex]AB=12[/tex]

Similarly,

[tex]BC=\sqrt{\left(-6-\left(-6\right)\right)^2+\left(-1-3\right)^2}=4[/tex]

[tex]CD=\sqrt{\left(6-\left(-6\right)\right)^2+\left(-1-\left(-1\right)\right)^2}=12[/tex]

[tex]AD\sqrt{\left(6-6\right)^2+\left(-1-3\right)^2}=4[/tex]

Now, the perimeter of the rectangle is:

[tex]Perimeter=AB+BC+CD+AD[/tex]

[tex]Perimeter=12+4+12+4[/tex]

[tex]Perimeter=32[/tex]

Therefore, the perimeter of the rectangle is 32 units.

Could someone check this answer for me?

Answers

Yes it is correct!
STEP BY STEP:

Answer:

Yes you are correct! :)

An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth, what could be the number?

Answers

Answer:

3.55-3.59

Step-by-step explanation:

to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

So numbers that would be rounded off to 3.6 have to have an hundredth value equal or greater than 5

they include

3.55

3.56

3.57

3.58

3.59

Help a brother out. Math

Answers

Answer:

bet ay yo it's D. 3,630 cubic meters

find y=0... this x intercept is zero

Answers

what does that even mean

HELP MEEEEE I REALLY NEED HELP

Answers

Answer:

they are vertical angles

Step-by-step explanation:

they are vertical angles.

Given that x = 7, what is the value of -2x^0

Answers

anything that has 0 as an exponent is 1 so i think it’s negative 2 (-2)

hey i kinda need help on this question
(could you do a step by step method i think it would help a lot)

Answers

Answer:

27.6°

Step-by-step explanation:

6.5²-6² = 6.25

✓6.25 =2.5

^^^ that was Pythagoras theorem

9+2.5 = 11.5

23-11.5 =11.5

6 = height =opposite

11.5 = base = adjacent

sohcahtoa

use Tan

Tan-¹(6/11.5)

gives the angle CDA = 27.5528...

27.6 (1d.p)

In the figure to the right, if AC = 21 and BC = 18, what is the
radius?

Answers

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

If $500 is invested at 8% annual interest, how much will be in the account after 3 years if it's compounded quarterly?

Answers

Answer:

FV= $634.12

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $500

Number of periods (n)= 3*4= 12 quarters

Interest rate (i)= 0.08/4= 0.02

To calculate the future value, we need to use the following formula:

FV= PV* (1 + i)^n

FV= 500*(1.02^12)

FV= $634.12

x^2+18x+c I have to solve for c

Answers

Answer: 81

Step-by-step explanation:

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