Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.

1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet​

Answers

Answer 1

Step-by-step explanation:

Volume of square pyramid

= (Base length)² * (Height/3).

Therefore we have 8 = 2² * (h/3).

=> 8 = 4 * (h/3), h/3 = 2, h = 6.

Hence the height is 6 feet. (1)


Related Questions

What is the value of the expression below?
11–8+4 - 13-911
A
-18
B. -2
O
C. 0
D.
2
O
E.
18

Answers

Answer:

B.

Step-by-step explanation:

Brian ordered a 12-inch pizza for him and some friends. They ate half of the pizza before they started
playing video games. Approximately how much of the pizza is left in the box?

A 38in2
B 57in2
C 113in2
D 144in2

Answers

Answer:

B

Step-by-step explanation:

A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?

Answers

Answer:

[tex]r=3.33 cm[/tex]

[tex]d_{a}=5 cm[/tex]

Step-by-step explanation:

Let's use the radius equation to a circle inscribed into a triangle.

[tex]r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}[/tex]

[tex]s=\frac{a+b+c}{2}[/tex]

In our case a = 13 mc, b = 13 cm  and c = 10 cm

Then, s will be s = 18 cm

Then the radius will be:

[tex]r=\sqrt{\frac{(18-13)(18-13)(18-10)}{18}}=3.33 cm[/tex]

Now, the distance from the vertex to the nearest touchpont is given by:

[tex]d_{a}=\frac{1}{2}(a+c-b)=5[/tex]

This value is the same for each side.

I hope it helps you!

Help me please! 20 POINTS Im using all of mine please help!

Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
(System of Equations word problem)

Answers

There are 18 or 20 pigs if two had 1 missing leg

Step by Step explanation

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

Find two consecutive whole numbers that 34 lies between.

Answers

Answer:

34 lies in between 5 and 6

5^2=25, 6^2=36, so sqrt(34) lies between 5 and 6

the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answers

P= L(W)
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34

Marking brainliest


Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?

Answers

Answer:

n = 120

Step-by-step explanation:

Given that,

Side length the cube = 3 inches = 0.25 feet

We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.

Let there are n games.

[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]

Hence, there are 120 games packed inside the box.

Here's a graph of a linear function. Write the equation that describes that function.

Answers

y=1/4x+3 i think is the right answer because your y-intercept is 3 and you go up one and over 4

Kylie buys cranberries and raspberries in the ratio of 8:9 to prepare mock tails. If she buys 64 ounces of cranberries what is the total weight of berries purchased

Answers

Answer: 136 ounces

Step-by-step explanation:

Given: The ratio of cranberries and raspberries is 8:9 .

Let quantity of cranberries= 8x , quantity of raspberries = 9x

If quantity of cranberries = 64 ounces

[tex]\Rightarrow\ 8x=64\\\\\Rightarrow\ x=\dfrac{64}{8}\\\\\Rightarrow\ x=8[/tex]

Quantity of raspberries = 9(8) = 72 ounces

Total quantity = 64 ounces  +  72 ounces =  136 ounces

Hence, the total weight of berries purchased=  136 ounces

Find the value of b help me please

Answers

Answer:

[tex] b = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} [/tex]

Answer:

sqrt(2)

Step-by-step explanation:

Class 607 has 27 students: 14 students have
green eyes, 7 students have blue eyes, and 6 students have brown eyes:

Answers

Answer:

teal

Step-by-step explanation:

brown blue green and teal are the only eye colors out there

Which is an equation of the line through the origin and (-4,-9)?

Answers

ExplanationCalculate the slope by using the rise over run with two given coordinate points.

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

Slope-Intercept

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Find the value of b.

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

Answer

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:

y = 2x + 3

4x + y = -3

Group of answer choices

(-1 , -1)

(-1 , 1)

(1 , 1)

(5 , 7)

Answers

Answer:

(-1,1)

Step-by-step explanation:

4x+2x+3=-3

6x+3=-3

6x=-6

x=-1

y=2(-1)+3

y=-2+3

y=1

Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).

Answers

The answer to this question is 17

Estimate with percents

Estimate each percent

50% of 39

Answers

Answer:

Step-by-step explanation:

50 percent of 39=

39/2=19.50

39 rounds to 40 , 40/2 = 20

rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour

Answers

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

Pls help extra points and mark brainlist

Answers

Answer:

In order from top to bottom: 5^2, 125, 50

Step-by-step explanation:

1. (3+2) × 5 = 5 × 5 = 5^2

2. 5^3 = 5 × 5 × 5 = 125

3. 10^2 / 2 = 100/2 = 50

Answer:

10^2/2=50

5^3=125

(3+2)*5=5^2

Step-by-step explanation:

Find the area of the parallelogram in square units.

Answers

I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40

How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please

Answers

Answer:

There are 8 - 1/8's in 1 (as, 8×1/8=1); and

There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).

Find the intercepts of
y= 2x -4

Answers

Answer:

y intercept is -4

x intercept is 2

HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm

Answers

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

Please can you help me

Answers

Answer: 340 children

a quarter is 1/4.

1,360 is the total number of children.

1,360 ÷ 4 = 340

340 children walk to school

Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3

Answers

Let 3n + 1 denote the "number" in question. The claim is that

(3n + 1)² = 3m + 1

for some integer m.

Now,

(3n + 1)² = (3n)² + 2 (3n) + 1²

… = 9n² + 6n + 1

… = 3n (3n + 2) + 1

… = 3m + 1

where we take m = n (3n + 2).

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:




65 98 55 62 79 59 51 90 72 56
70 62 66 80 94 79 63 73 71 85

The data are to be organized into a frequency distribution.



Click here for the Excel Data File



How many classes would you recommend?





Organize the number of oil changes into a frequency distribution. (Round "Relative frequency" answers to 2 decimal places.)

Answers

Answer: 5 classes.

Step-by-step explanation:

You can use the  rule to determine the number of classes for a frequency distribution.

The  rule says that  where

is the number of classes

is the number of the data points

We know that the number of data points is  = 20.

Next, we start searching for  so that we can get a number 2 to the  that is larger that the number of data points.

This suggests that you should use 5 classes.

A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?

Answers

Answer:

Shirt: $7.5

Sweater: $17.5

Step-by-step explanation:

25/2=12.5

Shirt is 5 less than Sweater

12.5-5=7.5

Add 5 to sweater cost

12.5+5=17.5

Shirt=7.5 Sweater=17.5

17.5+7.5=25

How many distinct ways can all the letters on "Geometry" be arranged to form a new "Word"?

Answers

Geo stands for science it’s a greek prefix and the suffix means nothing

express 7π/6 in degrees​

Answers

Is that a pie symbol?

Answer:

210°  

Step-by-step explanation:

To change from radians to degrees, multiply 7π/6 by 180/π

That will give 210°  

Would appreciate a Brainliest if this helped :)

5y - 4x = -7
2y + 4x = 14
Solve the system of equation

Answers

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

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