What is the volume of this triangular pyramid?

Answer:

the answer is 7 j

Step-by-step explanation:

b

Answer:

800

Step-by-step explanation:

160 * 100% / 20% = 800

If 20% of a number is 160 then the original number is 800.

percentage, a relative value indicating hundredth parts of any quantity.

Given that 20% of number is 160

We need to find the original number.

Let the original number be x

Convert 20% to decimal value by dividing 20 with 100

20/100=0.2

Now multiply 0.2 with x which is equal to 160

0.2x=160

Divide both sides by 0.2

x=800

Hence, If 20% of a number is 160 then the original number is 800.

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Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

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Answer:

A

Step-by-step explanation:

Distance covered by Amy in one hour = 1/3 x 15 miles = 5 miles

Distance covered by John in one hour = 1/5 x 30 miles = 6miles

As a result, John would  jog 1 mile (6-5)  farther than Amy, the answer is A

Answer: John goes 1 mile further than Amy

Step-by-step explanation:

Figure out how far each person can go in an hour

Amy can go 1/3 of a mile in 1/15 of an hour- Multiple by 15 to see how far she can go in 1 hour

[tex]\frac{1}{3} *15= \frac{15}{3} = 5[/tex]  so in 1 hour Amy can go 5 miles

John goes 1/5 of a mile in 1/30 of an hour- so multiple by 30 to see how far he goes in 1 hour

[tex]\frac{1}{5} * 30 = \frac{30}{5} = 6[/tex]

John goes 6 miles in an hour

So John goes 1 mile further than Amy (6-5)=1

Answer:

C

Step-by-step explanation:

using the formula for circumference of a circle.

2πr is the formula.

closest answer is 15.7 ft

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

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Answer:

the percentage is 36%

Step-by-step explanation:

The computation of the  percentage of 25 floors does Giovanni have left to reach his grandmothers floor is shown below:

= (25 floor - 16 floor) ÷ (25 floor)

= 9  floor ÷ 25 floor

= 36%

Hence, the percentage is 36%

Answer:

1

Step-by-step explanation:

take your intial value multiplied but the value it's retaining. it's losing 4.5%, or .045, so it's keeping .055 of it's value, then to the power of 5 because it's 5 years later

Answer:

342 m/s

Step-by-step explanation:

1230x 1000 = 1230000

1230000 / 60 = 20500

20500 / 60 = 341.666 = 342

Answer: 3.4 * 10^(5)

Step-by-step explanation:

Answer:

x= 3

Step-by-step explanation:

Move all the terms that do not contain x to the right side and solve.

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Answer:

a) attached below

b) 2a + b

Step-by-step explanation:

a) show that the expected monetary value of this game is infinite

Given that the probability of getting first head on nth toss = $2^n

attached below is the prove

b) what is the expected utility of this game

using the Logarithm ; [tex]U(x) = a log_{2} n + b[/tex]

x = number of dollars you have

attached below is a detailed solution to the given problem

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

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Answer:

y = 12 + 2x

Step-by-step explanation:

Given that :

Let number of butterflies = y

Number of moths = x

y = 12 more than twice the number of moths

y = 12 + 2x

Hence, the expression which relates the number of butterflies he has is :

y = 12 + 2x

Answer:2

\left(-3\times \:3\right)+15-2^2

=-9+15-2^2

-9+15-4

=6-4

6-4=2

the answer is 2

Answer:

37+12 =49_218+54=4554472287/41

Answer:

+ 2,345

Step-by-step explanation:

Above means positive, so the number would be positive.

Answer:

41.4 degrees

Step-by-step explanation:

Find cos x by dividing both sides of this equation by 4:

cos x = 3/4 = 0.75

Using a calculator's inverse cosine function, find x:

arccos 0.75 = 0.723 radian, or

0.723 rad     180 deg

--------------- * ------------- = 41.4 degrees

        1             pi rad

Answer:

negative linear

Step-by-step explanation:

Answer:

A. A negative linear association

Step-by-step explanation:

The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.

Answer:

a. a×3= -30

a= -30-3

a= 33

Answer:

45.6

Step-by-step explanation:

IF x is theta

arccos(7/10)

*make sure your calculator is in degree mode

x= 45.57

Answer:

The answer is 17.6

Step-by-step explanation:

Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.

Answer: 1:2

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