A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long. Compute the volume of the triangular pyramid if the height is 14 inches.
A. 252 in 3
B. 420 in 3
C. 2520 in 3
D. 1260 in 3​

Answers

Answer 1

Answer:

90 cubic inches

Step-by-step explanation:

The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3.

V = 1/3 · area of base · height

V = 1/3 · 18 · 15

V = 6 · 15

V = 90

I hope you find this helpful (if correct.)


Related Questions


I need help with these fractions

Answers

The answer is 6.24 for the first one

A circular flower garden has a diameter of 16 ft. A square pond is placed in the center that measures 5 ft on each side. About how much area of the garden remains for the flower garden

Answers

Answer:

779.352 ft^2

Step-by-step explanation:

Given data

Diameter of circular garden= 16ft

Radius of garden= 16/2= 8ft

Length of side of square pond= 5ft

Area of circular garden= πr^2

A=3.142*16^2

A= 3.142*256

A=804.352 ft^2

Area of square pond

A= L^2

A= 5^2

A= 25ft

Hence the area that remains

=Area of circular garden- Area of square pond

=804.352- 25

= 779.352 ft^2

Plz help it’s due today

Answers

Answer:

4  7 /32

Step-by-step explanation:

135 : 32 = 4 ( 7)

Kết quả:  

135 /32

= 4  7 /32

Answer:

[tex]4\frac{7}{32}[/tex]

Step-by-step explanation:

Given the mixed numbers:

[tex]1\frac{1}{4}[/tex],[tex]1\frac{1}{2}[/tex],[tex]2\frac{1}{4}[/tex]

First, we need to convert them into improper fractions of the denominator of 4.

1 1/4 = 5/4

1 2/4 = 6/4

2 1/4 = 9/4

So we multiply 1 1/4 x 1 2/4 x 2 1/4 which gets us 4 7/32

(14, 5) , (21, 3) , (26, 8) , (33, 6) , (38, 11) , ( _____ , _____ ) , ( _____ , _____ ) , (57, 12) , (62, 8) , (69, 15) , (74, 11)

fill in the sequence

Answers

Answer:

(45,9), (50, 14)

Step-by-step explanation:

the y-axis' pattern is subtract 2 and add 5.

the x-axis' pattern is add 7 then add 5.

So we get (45, 9) and (50, 14)

The salaries of 4 players on a professional basketball team average $200,000 per year. If a fifth player is hired for $400,000 per year, what will be the average salary for the 5 players? Answer with supporting work:​

Answers

If salary average of 4 players is making $200,000/yr, what's the total payroll?  It should be $200K x 4 or $800,000.

Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players?  It should be $800,000 + $400,000 = 1,200,000.  From there you can find the average of the 5 players by dividing!

Solve for the coefficient a in vertex form for the parabola in Daredevil Danny’s practice jump

Answers

Answer:

-8/25  or -0.32

Step-by-step explanation:

Vertex is (25, 32)

The function in vertex form:

y = a(x - 25)² + 32

x- intercepts are 15 and 35:

0 = a(15 - 25)² + 32  or 0 = a(35 - 25)² + 320 = a*100 + 32100a = -  32a = -32/100a = -8/25  or -0.32

If m <CGB = 79°, then what is m <DGB?​

Answers

Answer:

∠DGB = 101°

Step-by-step explanation:

Given:

∠CGB = 79°

Find:

∠DGB

Computation:

We know that CD is a straight line

So,

∠CGB + ∠DGB = 180

79 + ∠DGB = 180

∠DGB = 101°

A prime number only has two factors - the number itself and 1. 6th grade math

Answers

Answer:

yes that is true.... ......

Answer: True

A prime number has only two factors: 1 and itself. A composite number has more than two factors. The number 1 is neither prime nor composite. The prime numbers between 2 and 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 since each of these numbers has only two factors, itself and 1.

Step-by-step explanation:

Round to the nearest thousandth
5906÷72​

Answers

Answer:

82.028

Step-by-step explanation:

hope it helps

Under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Autumn can use while staying within her budget.

Answers

Answer:

Equation: 68.50=48+5x Answer: 4gigabytes

Step-by-step explanation:

You have to add the flat cost and the cost per gigabyte together. Then set it equal to her maximum amount and solve.

The equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month.

The expression can be written as below:

68.50=48+5x

5x = 68.5 - 48

5x = 20.5

x = ( 20.5 / 5 ) = 4.1 Gb

Therefore, the equation to calculate the number of gigabytes will be 68.50=48+5x. The number of gigabytes will be 4.1 GB

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Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?

Answers

Answer:

9

Step-by-step explanation:

The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.

What is division?

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.

When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

Given:

Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,

Calculate the number of marble left as shown below,

The number of marble left = Reminder of (total number of marble / 8)

The number of marble left = Reminder of(75 / 8)

The number of marble left = 3

Thus, the number of marble left is 3.

To know more about division:

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Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the cab ride, how many miles did he travel? (HOW DID YOU GET YOUR ANSWER SHOW YOUR WORK!!)
A. 11 3/8
B. False
C. 1/5
D. 61.5
E. True
F. 3/25
G. 62.4

Answers

Answer:

11 [tex]\frac{3}{8}[/tex] miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 [tex]\frac{3}{8}[/tex] .

I would appreciate brainliest, if not that's ok!

solve 4(x+7)-5x+2=10

Answers

x=20 hope this helped

Answer:

x = 20

Step-by-step explanation:

4(x + 7) - 5x + 2 = 10

open the parenthesis

4 * x + 4 * 7 - 5x + 2 = 10

4x + 28 - 5x + 2 = 10

combine like terms

-x + 30 = 10

subtract 30 from both sides of the equation

-x + 30 - 30 = 10 - 30

-x = 10 - 30

-x = -20

mutiply the equation by -1

-1 * -x = -20 * -1

x = 20

the difference of twelve and three times a number and negative 4

Answers

Answer:The answer is going to be 3 and this is how we came to that determination:

We are to subtract 3 times the number from 7 times the number and have it equal 12. So here is the the mathematical sentence to help us get the answer:

7X-3X=12 ; now we are going to subtract the 3 from the 7 on the left hand side of the equal sign:

4X=12 ; now we will divide each side of the equal sign by 4:

4X/4=12/4 and get X =3 ; to prove 3 is the number we are looking for, we will substitute it for X in our original sentence:

7(3)-3(3)=12

21–9=12

12=12

3 is our answer.

Step-by-step explanation:

This graph represents Andre's distance from his bicycle
as he walks in a park.
Decide whether the following statements are true or
false.

The graph has multiple horizontal intercepts: T or F

A horizontal intercept of the graph represents the time when Andre was with his bike: T or F

A minimum of the graph is (17, 1): T or F

The graph has two maximums: T or F

About 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: T or F

Answers

Answer:

True

True

False

False

True

The graph describes Andres movement in the park relative to the position

of his bike with time.

The correct responses are;

The graph has multiple horizontal intercept: FA horizontal intercept of the graph represent the time when Andre was with his bike: T A minimum of the graph is (17, 1): TThe graph has two maximums: TAbout 21 seconds after he left his bike, he was the farthest away from it, at about 8.3 feet: T

Reasons:

1. The graph has only one horizontal x and y-intercept at the origin of the graph, the correct option is false, F

An horizontal line of the graph represents a stationary point on the graph, the x-intercept represent the points when Andre is next to his bike, therefore;

2. At the horizontal intercept of the graph, Andre was with his bike, the correct option is true, T

The point with coordinates (17, 1) represent a local minimum of the graph, therefore;

3. Point (17, 1) is a minimum of the graph, the correct option is true, T

The maximum points are points having higher vertical coordinate values compared to the surrounding points.

4. Therefore, the points (9, 8), and (21, 8.3) represent two maximum points on the graph, the correct option is true, T

The point that gives the highest value of the maximum points, which is at (21, 8.3) is the point at which he was farthest away from the bike.

5. Therefore, he was farthest away from his bike at 8.3 feet, 21 seconds after he left his bike. The correct option is true, T

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Help
How many 1/8 cup servings are there in 3/4 cup salad dressing ​

Answers

Answer:

6

Step-by-step explanation:

divide 3/4 by 1/8  (same as multiplying by 8)

this gives you 6

There are 6 cups of 1/8 cups in a 3/4 cup of salad dressing

How many yards are in 1 mile 300 feet

Answers

Answer:

1860?

Step-by-step explanation:

one mile is 5280 feet

add 300 feet and its

5580 feet but then divide by 3 to get in yards

1860 yards is the answer

the answer will be 1860 yards

A rectangular prism has a length of 6 cm, a width of 5 cm, and a depth of 4 cm. What is its volume? PL HURRY IT IS TIMED

Answers

Answer:

The answer should be 120

Step-by-step explanation: hope this helps

Which figure appears to show
parallel lines?
A
B
C
D

Answers

I think the answer is C

is 8/12 greater than 10/15?

and how do you know?

Answers

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

first find the least common denominator

that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

8/12 is .6667, and 10/15 is also .6667. They are the same decimals, which means they are the same value. To answer your question, No, 8/12 is not greater than 10/15, they are exactly the same


One month Lucy rented 2 movies and video games for a total of $40. The next month she rented 5 movies and 3 video games for a total of $25. Find the
rental cost for each movie and each video game.

Answers

Answer:

the first month it was 10 each for a video game and the 2nd month it was

A line passes through the point (2, 1) and has a slope of -5/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y = -\frac{5}{2}x +6[/tex]

Step-by-step explanation:

Given

[tex]m = -\frac{5}{2}[/tex] -- slope

[tex](x_1,y_1) = (2,1)[/tex] --- point

Required

Determine the line equation

In slope intercept form, a line equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

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

Open bracket

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

Add 1 to both sides

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

[tex]y = -\frac{5}{2}x +6[/tex]

PLEASE ANSWER THIS, LIKE ITS REALLY EASY I BEG. IM JUST HORRIBLE AT MATHS AND ILL GOVE BRAINLEST.

Answers

Answer:

(0,-2)

Step-by-step explanation:

Answer:

(0,-2)

Step-by-step explanation:

I hope im right!!

please help answer gets brainliest

Answers

Answer:

you got to go back to the question before that and then you will know.

Step-by-step explanation:

Please anyone help me on this

Answers

Answer:

a.) x²+h²+2xh-8x-8h

b.) h+2x-8

Step-by-step explanation:

A.) you just plug in x+h wherever there's an x

which means you have

(x+h)²-8(x+h)

simplify and get

x²+h²+2xh-8x-8h

we already know what f(x+h) is so we just need to subtract f(x) we have

x²+h²+2xh-8x-8h-x²+8x

simplify and get

h²+2xh-8h

Divide this by h and get

h+2x-8

Answer:

h+2x-8

Step-by-step explanation:

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In the figure, the area of the shaded part is 40% of the area of Square P. It is also 20% of the area of square q. What percent of the figure is shaded?

Answers

Answer:

i need HELP ON THIS ONE PLEASE HELP

Step-by-step explanation:

What is the value please help I’ll give you BRAINLIEST

Answers

A would be the correct option.

Deshawn bought 2 packs of markers each pack has 8 markers he gave 3 markers to ami how many markers does deshawn have left?

Answers

Answer:

13

Step-by-step explanation:

2(8)-3= 13

if my answer helped please mark as brainliest.

what is the slope of the line that passes through these points shown in the table
x= -1, 0, 1, 2
y= -5, -3, -1, 1​

Answers

Answer:

m=2

Step-by-step explanation:

(0,-3) (2,1)

y2-y1 1+3. 4

x2-x1 2-0. 2

4/2= 2

As an investment, a couple bought a house for 2.7 million. Two years later sold it for $5 million what was their profit

Answers

5,000,000-2,700,000=2,300,000.

The couple made a 2.3 million dollar profit
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