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an industrial water tank in the shape of a triangular pyramid has a height of 30 feet. the area of the base of the water tank is 400 square feet. what is the volume of the water tank in cubic feet?

a. 4,000 cubic feet
b. 12,000 cubic feet
c. 36,000 cubic feet
d. 6,000 cubic feet

Answers

Answer 1
The and is going to be (B) 12,000 cubic feet

Related Questions

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x=21

Step-by-step explanation:

We know that the angles of a triangle has a sum of 180 degrees always. We know two sides already which are 45 and 63. Their sum is 108 degrees which means that the missing side is 180-108 which is 72.

Now we can set 72 equal to 4x-12 since the last side has to equal 72 and solve.

72=4x-12

84=4x

x=21

Hope this helps!!!

Find the diameter. dddddddddddddddddddddddddddddddddddddddd

Answers

Answer:

14

Step-by-step explanation:

To find the diameter you can just multiply the radius by 2:

7 x 2 = 14
Hope this helps :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's we go ~

We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :

[tex]\qquad \sf  \dashrightarrow \:d = 2r[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 2 \times 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 14 \: cm[/tex]

・ .━━━━━━━†━━━━━━━━━.・

HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.

Answers

(0,0) traveling 0 inches in 0 seconds
(1,1.5) traveling 1.5 inches in 1 second
(3,4.5) traveling 4.5 inches in 3 seconds

PLEASE HELP ME I CANT GET IT RIGHT

Answers

Answer:

Area=½b×h

Area =½×20×8=80m²

=80m²

hope it helps!

Answer: 80 m 2 or 80 square m

Which vector best describes the translation below?

Answers

Answer: Choice A)  <9,0>

Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.

What is the center of a circle whose equation is x2 y2 4x – 8y 11 = 0?

Answers

The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is x² + y² + 4x – 8y + 11 = 0

Add 9 on both sides of the equation, then we have

x² + y² + 4x – 8y + 11 + 9 = 9

x² + 4x + 4 + y² – 8y + 16 = 9

             (x + 2)² + (y – 4)² = 3²

The center of the equation is (–2, 4).

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

A. (-2, 4)

Step-by-step explanation:

i did it B)

Maths- please help me with this Q

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

See below ↓

Step-by-step explanation:

Missing values (a)

[tex]\left[\begin{array}{ccc}-1&1\\?&?\end{array}\right][/tex]Substituting x = 1 and x = -1 respectively in the equation y = x² - 4x[tex]\left[\begin{array}{ccc}-1&1\\5&-3\end{array}\right][/tex]

Curve which matches the equation

On solving y = x² - 4x = x(x - 4) ⇒ x = 0, 4It intersects the x axis at 0 and 4The blue curve is the right one

an architect is designibg a tapered office tower where rge ground floor us the largwst amd the floor space is reduced by 6.3% permifloor if the ground gloor has an arra pf 11,400,0ft2 ehat is tje area of the floor to the nearest tenth of a ft2?

Answers

The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.

What is the area of the ground floor?

In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.

Area that was reduced = 6.3% x 11,400,000 = 718,200

New area = 11,400,000 - 718,200 = 10,681,800 square foot

To learn more about percentages, please check: https://brainly.com/question/25764815

How may you rethink the way you choose people in a group? No links please or I will report you. The best explanation gets Brainliest!

Answers

Step-by-step explanation:

How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.

You have $10.00 and want to buy all of the items below. How much change
will you have left after you make your purchase? Do not include $ in your
answer.
ITEM
COST
Bagels
Cream Cheese
Raisins
$2.66
$1.85
$2.66
Help pls

Answers

Answer: 2.83

Step-by-step explanation:

2.66+1.85+2.66 = 7.17

10.00 - 7.17 = 2.83

Find the least common denominator (LCD) of 7/9 and 5/6

Answers

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

Pine Bluff, Ark has been continuously declining in population at a rate of 12.5 percent due to unemployment. If
the city's current population is 100,258 then in how long before the population drops to 87,751 at this current rate?
(Round your answer to the nearest year)
a. l
b. 3
C. 4
d. 2

Answers

I think it would be 3

Use the volume formula to find the volume of the prism

Answers

Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

L is the lengthW is the widthH is the height

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

1.5 * 4 * 1.56 * 1.59

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

Evaluate f(2) for the function f(x)=5(x-3)+17

Answers

Hello!

Plug in the value of x:

f(x)=5(x-3)+17

f of x is 5 times the difference of x and 3 plus 17

plug in 2:

f of 2 is 5 times the difference of 2 and 3 plus 17

f(2)=5(2-3)+17

f(2)=5(-1)+17

f(2)=-5+17

f(2)=12

[tex]\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}[/tex]

Hope everything's clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper!} :-)[/tex]

PLEASE HELP ME I CANT GET IT RIGHT

Answers

I believe it should be 216

Ann deposited $4000into an account with 3.6% interest, compounded annually. Assuming that no withdrawals are made, how much will she have in the account after 9 years?

Answers

Answer:
In 9 years, you will have $5,499.18

Steps:
Note
A = Final Amount
P = Principal Amount
R = Interest Rate
N = # of times interest is compounded
T = Time in years

A = P(1 + r/n)^nt
A = ?
P = 4000
R = 0.036
N = 1
T = 9

A = 4000(1 + 0.036/1)^1*9
A = 5499.18

Which expression is equivalent to -18x -14?

Answers

Answer:

6(3x-2)

You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).The expression which is equivalent to the given expression isWhat are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.The given expression is It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6 Thus,we can write it as (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.(The given options are not correct, or it might be that the given expression is not written correctly).Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in Thus,The expression which is equivalent to the given expression is

6(3x-2)

Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the equations to represent sides a and b in terms of c. Assume a is the shorter leg.

Answers

Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answers

After 23 years $125.32 will be matured to $46,683.28.

What is the formula for recurring investment?

The formula for Recurring maturity is given by:

[tex]A=P_n\dfrac{p\times n \times(n+1)}{24}\times \dfrac{r}{100}[/tex]

Where A=matured amount

P =Principal value

n=Number of months

r=Interest rate(annual)

We have P= $125.32

n=23*12 = 276 months

r=2.5*12 =30%

Put these values in the above formula

we get A= $46,683.28

Therefore, After 23 years $125.32 will be matured to $46,683.28.

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A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

How many fluid ounces of milk were used during the class?


10 fl oz

23 fl oz

49 fl oz

101 fl oz

Answers

Answer

C. 49 fl oz

Step-by-step explanation:

I took the quiz.

Convert
f(x) = 2/3 (x + 3)2
to standard form.
=

Answers

Answer:

3

Step-by-step explanation:

adding subtraction multiplication and division

What is the perimeter of the polygon shown below?


A. 24 m
B. 45 m
C. 51 m
D. 57 m

Answers

Answer:

c no

jskdha

shdjszdj

see

15 of 15 Find the size of the final unknown interior angle in a polygon whose other interior angles are: 162°, 115°, 125°, 148° and 105°.
answer ?

Answers

Answer: 147 Degrees

Step-by-step explanation

The size of the final unknown interior angle in a polygon is 147 degrees.

Given that,

The other interior angles are 162°, 115°, 120°, 148° and 85°.

We assume that there is an equation (2n - 4) 90.

Here n be 7.

Based on the above information, the calculation is as follows:

= (2n - 4) 90

= ((2) (7) - 4) 90

= 10 (90)

= 900

Now the size of the unknown interior angle is  

= 900-(162+125+148+105+98+115)

= 900 - 753

= 147°

Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.

Ramsey's hamster weighs less than his gerbil. His gerbil weighs 2.04 ounces. Which of the
following could be the weight of Ramsey's hamster?
O A. 1.99 ounces
O B. 2.3 ounces
OC. 2.14 ounces
O D. 2.102 ounces
6

Answers

The answer is A 1.99 ounces

Answer:

A. 1.99 ounces

Step-by-step explanation:

Ramsey's weights is less than gerbil so if gerbil weights is 2.04 so  B is 2.3 is not correct C and D are not less than Ramsey's weights so the answer is A

Which graph represents the solution to the compound inequality?
4x + 8<-16 or 4x + 824
O4+
=>
-7 -6 -5 4 -3 -2 -1 0 1
O4
-7 6 5 4 3 2 1 0
1
O
+ +
-7 -6 -5 4 -3 -2 -1 0 1
O
-7 -6 -5 4 -3 -2 -1 0 1

Answers

Answer:

We know that the slope or rate of change of the function can be:

positive

negative

zero, or

undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

We know that the slope or rate of change of the function can be:

positive

negative

zero, or undefined

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is  y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

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Giving brainliest whoever answers this question first, please help

Answers

The question is there

In diagram below?FG bisects

Answers

Answer:

107 should be your answer

Step-by-step explanation:

so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.

Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

10.50

Step-by-step explanation:Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. what is the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.23 0.5910 0.33 0.6293 0.67 0.7486 1.00 0.8413 1.33 0.9082 1.67 0.9525 2.00 0.9772 32% 37% 42% 95%

Answers

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

Given here,

Mean (μ) = 3 years 6 months

= (3×12)+6 = 42 months

Standard deviation (σ) = 9 months

We will find the z-score using the formula: z = (X - μ)/σ

Here X₁ = 2 years 3 months

= (2×12)+3 = 27 months

and X₂ = 3 years 3 months

= (3×12)+3 = 39 months

So, z (X₁ =27) =

and z (X₂ =39) =

According to the standard normal table,

P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707

So, P(27 < X < 39)

= 0.3707 - 0.0485

= 0.3222

= 32.22 % [Multiplying by 100 for getting percentage]

So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

What is a normal distribution?

A normal distribution is a continuous probability distribution that describes a symmetric, bell-shaped curve of data.

It is also known as a Gaussian distribution or a bell curve.

The normal distribution is used to model many real-world phenomena, such as measurements of height, weight, blood pressure, and IQ scores, among others.

We have,

To solve this problem, we first need to standardize the values of 2 years 3 months and 3 years 3 months, using the mean and standard deviation of the distribution.

The mean of the distribution is 3 years 6 months, which is equivalent to 3.5 years, and the standard deviation is 9 months, which is equivalent to 0.75 years.

The standardized value of 2 years 3 months is:

z1 = (2 + 3/12 - 3.5) / 0.75 = -1.33

The standardized value of 3 years 3 months is:

z2 = (3 + 3/12 - 3.5) / 0.75 = -0.33

We can now use the standard normal table to find the probability of a randomly selected hard drive lasting between 2 years 3 months and 3 years 3 months.

P (-1.33 ≤ Z ≤ -0.33) = P(Z ≤ -0.33) - P(Z ≤ -1.33)

From the standard normal table, we find that:

P(Z ≤ -0.33) ≈ 0.3708

P(Z ≤ -1.33) ≈ 0.0918

Now,

P(-1.33 ≤ Z ≤ -0.33) ≈ 0.3708 - 0.0918 = 0.279

Thus,

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

Learn more about normal distribution here:

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WILL GIVE LOTS OF POINTS




Jenny has 9 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then graph your equation​

Answers

9-R= C

hope this helps :)

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