Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?

Answers

Answer 1

Answer:

V = 400 ft^3

Step-by-step explanation:

The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.

Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft)  =  400 ft^3


Related Questions

44
Match each ratio with its simplest form.
12:15
20:36
18:24

Pls answer ASAP I need to finish this today and I’m stuck

Answers

12 : 15 = 4 : 5

20 : 36 = 5 : 9

18 : 24 = 3 : 4

whats the value of x? -5(x + 7) = -14 + 2x

Answers

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.


What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)

Answers

Answer:

a) (4,7/2)

Step-by-step explanation:

Midpoint Formula:

[(-1+9)/2], [(2+5)/2]

(8/2, 7/2) = (4, 7/2)

An icicle is 12 inches long and melts at a rate of 1/4 inch per hour

Answers

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Complete question

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

How to determine the linear equation?

The given parameters are:

Length = 12 inchesRate = 1/4 inch per hour

The above means that:

Y-intercept (c) = 12Slope (m) = -1/4

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

Read more about rate at:

https://brainly.com/question/4931057

#SPJ6

What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?

Answers

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth

Simplify each of the following by rationalizing the denominator.
please do answer my doubt

Answers

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

what is the answer to this question

Answers

D

Explanation: the b value is the starting point and it starts at positive 2, the graph is positive so the slope is also positive which only leaves answer choice D.

Answer:

[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]

28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..

Answers

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

write an equation to show the relationship between a and c when a = b + 9 b = c - 2​

Answers

Given:

The equations are:

[tex]a=b+9[/tex]

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

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey

Answers

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?

Answers

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Can someone help me with this? i’m struggling urgent help please!!!!

Answers

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

The chart below represents the number of marbles in a jar. What is the probability of picking blue?





P(blue) =

Answers

Answer:

yes

Step-by-step explanation:

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

Answer:

maybe it is corresponding

What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?

Answers

Hi! 1/2 + 1/3 is 5/6.

2 + 3 = 5
2 X 3 = 6

= 5/6

I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

7X^2+20x=24
X=?
Please answer to 2 d.p

Answers

Answer:

0.76

or

-0.76

hope this helps


A rope is 9 1/2 meters long. How many pieces can be cut from the rope if
each piece is to be 1/4 meter?

Answers

A rope is 9 1/2 m long because 1/4 m that is your answer because I need points

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

hello i give points!



Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answers

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

Nala and lily are playing a dice game where they score points. After one round, the ratio of nala point to lily's point is 7 to 9. If nala has 14 more points than lily, determine how many points lily has.

Answers

Answer:

Lily has 63 points and Nala has 49.

Step-by-step explanation:

Since Nala and Lily are playing a dice game where they score points, and after one round, the ratio of Nala's points to Lily's points is 7 to 9, if Nala has 14 more points than Lily, to determine how many points Lily has se you must perform the following calculation:

9 - 7 = 2

14/2 = 7

7 x 7 = 49

7 x 9 = 63

63 - 49 = 14

Therefore, Lily has 63 points and Nala has 49.

I need help asap pls pls pls...

Answers

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

The answer to this question is C. The surface area of a sphere is S=4pi radius square. Where r=20cm so substitute it into the formula and you will get 1600pi cm^2

A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?

Answers

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Can someone help me? It's urgent and thank you!

Answers

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.​

Answers

answer is

B. 6√2

hope this helps!

Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?

Answers

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2

Answers

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

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