Find the volume of the pyramid below.
O A. 960 units
O B. 384 units3
O C. 480 units 3
O
D. 1152 units3

Find The Volume Of The Pyramid Below.O A. 960 UnitsO B. 384 Units3O C. 480 Units 3OD. 1152 Units3

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] area of base × perpendicular height (h)

area of square base = 12 × 12 = 144 units² and h = 8, hence

V = [tex]\frac{1}{3}[/tex] × 144 × 8 = [tex]\frac{1152}{3}[/tex] = 384 units³ → B

Answer 2

Volume of the pyramid is equal to [tex]384 \ unit^{3}[/tex].

What is a volume?

" Volume is defined as the total space occupied by any three- dimensional object enclosed in it."

Formula used

Volume of a pyramid [tex]= \frac{1}{3} \times Area \ of \ the \ base \times height[/tex]

Area of a square [tex]= s^{2}[/tex]

[tex]s=[/tex] Side length

According to the question,

Given dimensions of pyramid,

Height of the pyramid [tex]= 8 \ units[/tex]

Base of the pyramid is square in shape

Side length of a square [tex]= 12 \ units[/tex]

Substitute the value in the formula to get the area of the base,

Area of the base [tex]= 12 \times 12[/tex]

                            [tex]= 144 \ units^{2}[/tex]

Substitute the value to get the volume of the pyramid,

Volume of the pyramid [tex]= \frac{1}{3} \times 144 \times 8[/tex]

                                       [tex]= 48 \times 8\\\\= 384 \ units^{3}[/tex]

Hence, Option(B) is the correct answer.

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Related Questions

In the circle graph, what is the measure of the central angle for corn?

Round your answer to the nearest whole number

Answers

multiply the percentage of the corn by 360 degrees

15% × 360° = 54°

Answer:

54°

Step-by-step explanation:

In the given pie chart which shows variation of vegetable.

Pie chart is a circular. Complete angle of circular is 360°.

100% of pie chart is equal to 360° of central angle.

Here, we need to find the central angle of corn.

In graph, corn is only 15%

 100% of central angle = 360°

   1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]

15% of central angle  [tex]=\dfrac{360^\circ}{100}\times 15[/tex]

                                  [tex]=54^\circ[/tex]

Hence, The central angle of corn is 54°

solve for x:4x-2>6x+8

Answers

Answer:

The second option

Step-by-step explanation:

4x - 2 > 6x + 8

add 2 to both sides

4x - 2 + 2 > 6x + 8 + 2

2 cancel -2 and it remains

4x > 6x + 10

Now, subtract 6x from both sides

4x -6x > 6x -6x + 10

it remains

-2x > 10

divide via by -2

x > 10/-2

x < -5

When you multiply or divide by a negative, the inequality sign changes

Please mark as brainlest and have a good night.

Answer:

x < −5

Step-by-step explanation:

what is the y-value when x equals 25? y= 650 - 15(x)

Answers

Answer:

y= 275 when x is 25

What is the solution set for X-3>1?

Answers

Answer:

x > 4

Step-by-step explanation:

X-3>1

Add 3 to each side

X-3+3>1+3

x > 4

Hello :D

Answer:

[tex]\boxed{x>4}\checkmark[/tex]

Step-by-step explanation:

First, you add by 3 from both sides of an equation.

[tex]x-3+3>1+3[/tex]

Then, add the numbers from left to right.

[tex]1+3=4[/tex]

[tex]\boxed{x>4}[/tex], is the correct answer.

Hope this helps you!

Have a wonderful day! :D

-Charlie

What is the middle term in the simplified product for (x + 3)(x – 4)

Answers

Answer:

-x

Step-by-step explanation:

You can distribute:

(x + 3)(x – 4)

x (x + 3) – 4(x + 3)

x² + 3x – 4x – 12

x² – x – 12

Or you can use FOIL (first, outer, inner, last).

(x + 3)(x – 4)

x² – 4x + 3x – 12

x² – x – 12

Which is the graph of f(x) = log3x?

Answers

Logarithm functions are the inverses of exponential function.In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

Given-

The function given in the question is,

[tex]f(x)=log_3x[/tex]

What is logarithm function?

Logarithm functions are the inverses of exponential function.

To plot the graph of the given function we have to find the asymptotes;

vertical asymptote  [tex]x=0[/tex]

Find the points at [tex]x=1[/tex]

[tex]f(0)=log_3(0)[/tex]

[tex]f(0)=0[/tex]

Find the points at [tex]x=3[/tex]

[tex]f(3)=log_3(3)[/tex]

[tex]f(0)=1[/tex]

Find the points at [tex]x=9[/tex]

[tex]f(9)=log_3(9)[/tex]

[tex]f(9)=2[/tex]

Hence, the points for the given function are (1,0) (3,1) and (9,2).

In the given graphs the graph number 2 is plotted with the above points. Hence the option 2 is correct.

Learn more about the Logarithm functions, here;

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what is the difference between 330 and -282

Answers

Answer: the correct answer would be 48

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer would be 48 i hope this helped and hope you are having a great day

Write an equation in point-slope form for the line through the given point with the given slope
(9,-1) ; m=4/5

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{4}{5}[/tex] and (a, b) = (9, - 1), hence

y - (- 1) = [tex]\frac{4}{5}[/tex](x - 9), that is

y + 1 = [tex]\frac{4}{5}[/tex](x - 9) ← in point- slope form

Una cadena de oro es de ley 0,850 y contiene 12 gramos de oro puro. ¿Cuánto pesa la cadena de oro?

Answers

What are you doing this is not understood

Find the value of x.

Answers

You have to use trigonometry as it is a right angle triangle
Because the hypotenuse(12 cm) is given and you need to find x which is the opposite side you have to use sin
so sin 30 = opposite side/hypotenuse
sin 30 = x/12
12*sin 30 = x
(sin 30 is equal to 1/2)
12*1/2 = x
x = 6

Answer:

x = 6

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x, that is

sin30° = [tex]\frac{AB}{AC }[/tex] = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × sin30° = x, hence

x = 6

Which expression is equivalent to ?

Answers

Answer:

Your answer would be A

Step-by-step explanation:

First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x

Answer:

FIRST OPTION.

Step-by-step explanation:

Given the expression [tex]\sqrt{\frac{2x^5}{18}}[/tex], you can find an equivalent expression simplifying.

The first step is to descompose 18 into its prime factors:

[tex]18=2*3*3=2*3^2[/tex]

Remember the Product of powers property, which states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then you can rewrite the expression in this form:

 [tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

Knowing that [tex]\sqrt[n]{a^n}=a[/tex], you get the following equivalent expression:

[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]

[tex]\frac{x^2}{3}\sqrt{\frac{2x}{2}}[/tex]

[tex]\frac{x^2\sqrt{x}}{3}[/tex]

Evaluate the following expression In e^e.
A) e^2
B) 1
C) 0
D) e

Answers

Answer:

D) e

Step-by-step explanation:

ln e^e

We know that ln x^a is the same as a ln x

e ln (e)

we know that ln e =1

e (1)

e

Answer:

The correct answer is:  [D]:  " e " .

Step-by-step explanation:

__________________________________________________

  ln e^e = e * (ln e)  = e * (1) = e .

__________________________________________________

What is X intercept of the graph of the function F(x) =x^2-16+64

Answers

Answer:  [tex]x=8[/tex]

Step-by-step explanation:

Given the quadratic function  [tex]0=x^2-16+64[/tex], you need to follow these steps:

 1. You must substitute [tex]f(x)=0[/tex] into the function:

[tex]0=x^2-16+64[/tex]

2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.

These numbers are: -8 and -8.

Since the root appears twice, it is a "Double root". Then:

[tex](x-8)^2=0\\\\x=8[/tex]

Regina took out a 30-year loan for $110,000 at an APR of 9.6%, compounded
monthly, and she is making monthly payments of $932.98. What will her
balance be with 13 years left on the loan?

Answers

Answer: $82,975.68 APEX

Figure ABCD is a parallelogram. What are the measures of angles B and D?

Answers

Answer:

c

Step-by-step explanation:

The measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

What is parallelogram?

Parallelogram is a 2D shape, having opposite sides parallel and equal. Also the opposite angles of parallelogram are congruent means equal.

We have,

A Parallelogram with,

Angle B = (2n + 15)° and,

Angle D = (3n - 5)°

So,

As mentioned above in the definition that the opposite angles of parallelogram are congruent means equal.

i.e.

Angle B = Angle D

i.e.

2n + 15 = 3n - 5

On solving we get,

20 = n

⇒ n = 20,

So,

Angle B = (2n + 15)° = (2 * 20 + 15)° = 55°

And,

Angle D = (3n - 5)° = (3 * 20 - 5)° = 55°

Hence, we can say that the measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.

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Which option shows a graph of 3y+18>5x

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]3y+18 > 5x[/tex]

The solution of the inequality is the shaded area above the dashed line

The equation of the dashed line is  [tex]3y+18=5x[/tex]

The slope of the dashed line is positive (m=5/3)

The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)

The y-intercept of the dashed line is (0,-6) (value of y when x is zero)

therefore

using a graphing tool

The graph in the attached figure

the ratio of boys to girls is 4:5. if there are 125 girls, what is the total number of students.

Answers

Answer:

5n=1125

n=225 students in the school.

Answer:

The answer is 225.

Step-by-step explanation:

The explanation is in the top.

What is the value of f(x) = 9when x = -2?

Answers

[tex]f(x)=9\Longrightarrow f(-2)=9[/tex]

The function is a constant. No matter the input the output will always be equal to 9.

Hope this helps.

r3t40

It’s b because when you divided all the numbers you get the answer

The Three Stooges (Larry, Moe, and Curly) and the four Marx Brothers (Chico, Harpo, Groucho, and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be Moe, Larry, and Curly in that order?

Answers

Answer:

[tex]\frac{1}{210}[/tex]

Step-by-step explanation:

We can use the probability that one person will be assigned to one place.

For the first place in line, what is the probability that Moe will stand there?

[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.

Then, for the second place in line, what is the probability that Larry will stand there?

[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.

Finally, for the third place in line, what is the probability that Curly will stand there?

[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.

To find the probability that they'll stand in that order, we can multiply the probabilities together.

[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]

Your text suggests that you look for an agent who has been in the insurance business for how long?

A. Less than 1 year
B. At least 5 years
C. At least 2 years
D. At least 1 year

Answers

I think it’s D good luckk

GEOMETRY Please help, urgent

Answers

ANSWER

66 cubic units

EXPLANATION

The volume of a triangular prism is the area of the triangular base times the height of the prism.

We calculate the volume using the formula:

[tex]volume = \frac{1}{2} bh \times H[/tex]

where b=4 is the base of the triangle and h=3 is the height of the triangle.

H=11 is the height of the prism.

We substitute these values to get;

[tex]volume = \frac{1}{2} \times 4 \times 3 \times 11[/tex]

[tex]volume = 66 \: cubic \: \: units[/tex]

Which of the following shows the graph of y=2e^x

Answers

Hello!

The answer is:

The first option shows the graph of the given function.

Why?

Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).

So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.

The function is:

[tex]y=2e^{x}[/tex]

Finding the y-axis intercept, we need to make "x" equal to 0, so:

[tex]y=2e^{0}[/tex]

We need to remember that any number elevated or powered to 0 is equal to 1, so:

[tex]y=2*1=2[/tex]

We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]y=2e^{x}[/tex]

[tex]0=2e^{x}[/tex]

[tex]Ln(0)=Ln(2e^{x})[/tex]

Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.

Hence, the first option shows the graph of the given function.

Have a nice day!

Note: I have attached a picture for better understanding.

Answer:

Graph A

Step-by-step explanation:

Correct on edge!


The measures of two complementary angles are
12q−9
and
8q+14
Find the measures of the angles.

Answers

Answer:

4  1/4

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Thus if 12q - 9 and 8q + 14 are complementary,

12q - 9 + 8q + 14 = 90.

Combining like terms, we get:

20q + 5 = 90

20q = 85

Thus, q = 85/20, or 17/4, or 4  1/4

Answer:

42 and 48

Step-by-step explanation:

∵ Two angles are complementary to each other if their sum is 90°,

Given,

12q - 9 and 8q + 14 are complementary angles,

By the above statement,

12q - 9 + 8q + 14 = 90

Combine like terms,

20q + 5 = 90

Subtract both sides by 5,

20q = 85

Divide both sides by 20,

q = 4.25,

Thus, the angles are,

12(4.25) - 9 and 8(4.25) + 14

42 and 48

Ajar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch.
What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

Answer: 20%

Step-by-step explanation:

There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.

4/9 of students at a school are boys. If there are 2610 students at the school, how many are girls??

Answers

If [tex]\dfrac{4}{9}[/tex] of students are boys, then [tex]1-\dfrac{4}{9}=\dfrac{5}{9}[/tex] of students are girls.

[tex]\dfrac{5}{9}\cdot 2610=1450[/tex]

1450 girls

Answer:

1450

Step-by-step explanation:

5/9 of 2160 would mean there are 1450 girls in the school.

Sorry about my last answer, I made a mistake. Feel free to give the other person brainliest.

Question 7 of 47
1 Point
What is the equation of a line with a slope of 1/2 that passes through the point,
(-2,5)?
O A. 1/2x+3
O B. Y=1/2x+5
O C. y=x+5
O D. y=1/2x+6

Answers

Answer:

Option D [tex]y=\frac{1}{2}x+6[/tex]

Step-by-step explanation:

we know that

The equation of a line into slope point form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex](x1,y1)=(-2,5)[/tex]

[tex]m=\frac{1}{2}[/tex]

substitute

[tex]y-5=\frac{1}{2}(x+2)[/tex]

Convert to slope intercept form

[tex]y=\frac{1}{2}x+1+5[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?


A. p(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect

B. t(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect

C. p(x), because an increasing quadratic function will eventually exceed an increasing exponential function

D. t(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Answers

I think the answer will be A

Answer:

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graph intersect.

Step-by-step explanation:

Given  two functions are  one is quadratic function and other is exponential function.

From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function  intersect axis at origin (0,0).

From the given graph we can see that  graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.

From the given graph we can see that  the graph of an increasing quadratic function eventually exceed after intersection the  graph of an  increasing exponential function.

In option

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graphs intersect.Therefore, it is true  we can see from the given graph.

B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.

C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection   not eventually ,the graph of an increasing quadratic function  will exceed an increasing exponential function .

D. t(x) , because an increasing exponential  function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.

Evaluate |x| + (-2x 2) for x = 3.

Answers

Hello!

The answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Why?

Evaluating a function means replacing the variable with the given value (3 for this case).

To evaluate the function, we need to remember that the absolute value guarantees a possitive value, for example:

[tex]|-3|=3\\|-4|=4[/tex]

So, we are given the function:

[tex]f(x)=|x|+(-2x^{2})[/tex]

Then, evaluating we have:

[tex]f(3)=|3|+(-2*(3)^{2})=3+(-2*9)=3-18=-15[/tex]

Hence, the answer is:

[tex]f(3)=|x|+(-2x^{2})=-15[/tex]

Have a nice day!

For the equation 3x + y = 5. If x = 1, what is the
value of y?

Answers

Everywhere you see x in the equation replace it with 1 like so...

3(1) + y = 5

3 + y = 5

Finish isolating y. To do this first subtract 3 to both sides (what you do on one side you must do to the other). Since 3 is being added, subtraction (the opposite of addition) will cancel 3 out (make it zero) from the left side and bring it over to the right side.

3 - 3 + y = 5 - 3

0 + y = 2

When x is 1 then y is 2

Check:

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

y=2

Step-by-step explanation:

3x + y =5

3(1) + y = 5

3 + y = 5

5-3= y which is 2

What type of quadrilateral has one pair of opposite sides that are parallel, and one pair of opposite sides that are not parallel

Answers

In a square, rectangle, or rhombus, the opposite side lines are parallel. A quadrilateral with the opposite side lines parallel is known as a parallelogram. If only one pair of opposite sides is required to be parallel, the shape is a trapezoid.
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