The area of a triangular block is 64 square inches. If the base of the triangle is twice the height, how long are the base and height of the triangle?

Answers

Answer 1
Answer:

Answer:

Area of the triangle(A) is given by:

A = (1)/(2)bh             ....[1]

where,

b is the base and h is the height of the triangle.

As per the statement:

The area of a triangular block is 64 square inches.

A= 64 in^2

It is given that:  If the base of the triangle is twice the height

b = 2h          .....[2]

Substitute these in [1] we have;

64 = (1)/(2) \cdot (2h) \cdot h

64 = h^2

or

h^2 = 64

h = √(64) = 8 inches.

Substitute h =8 in [2] we have;

b = 2(8) = 16 in.

therefore, the base and height of the triangle are:  16 inches and 8 inches.


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Answers

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The volume of a sphere is 500
3
πcm3. What is the radius?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula:   500 3 π = 4 3 πr3 2. undo multiplication of 4 3 :     125π = πr3 3. undo multiplication of π:     125 = r3 4. undo cube:          3√125 = r the radius of the sphere is 6 ⇒ 5 cm

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= (4)/(3)\pi r^3 . So, to solve this problem we will plug in 500 for V and solve for the radius, r.

  1. 500= (4)/(3) \pi r^3
  2. Multiply both sides by 3: 1500=4\pi r^3
  3. Divide both sides by 4: 375=\pi r^3
  4. Divide both sides by \pi: (375)/(\pi ) =r^3
  5. Find the cubed root of both sides: 4.9237=r
  6. The radius is about 4.9 cm

Factor 15x + 35 using Greatest common factor

Answers

The biggest number that divides equally into 15x and 35 is 5, meaning that 5 is our GCF.

15x + 35 \n \n gcf = 5 \n \n 5( (15x)/(5) + (35)/(5) ) \n \n 5(3x + 7) \n \n

The answer is: 5(3x + 7).

An airplane flies at a speed of 460 miles per hour.How many miles does the airplane fly in 3.5 hours?
A. 463.5
B. 690.0
C. 1,380.5
D. 1,610,0​

Answers

the distance covered by the airplane flying at the of speed in the given period of time is 1610 miles.

Option D) is the correct answer

What is speed?

Speed is simply the time rate at which an object is moving along a given path.

It is expressed mathematically as:

Speed = distance ÷ time

Given data in the question;

  • Speed of airplane s = 460 miles per hour
  • Time elapsed t = 3.5 hour
  • Distance covered d = ?

To determine the distance covered by the airplane, we substitute our given values into the expression above.

Speed = distance ÷ time

460 miles per hour = distance ÷ 3.5 hour

distance = 460 miles per hour  × 3.5 hour

distance = 1610 miles

Therefore, the distance covered by the airplane flying at the of speed in the given period of time is 1610 miles.

Option D) is the correct answer

Learn more about distance here: brainly.com/question/15172156

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Answer:

D.) 1,610

Step-by-step explanation:

460 MPH times 3.5 equals 1,610

How many fractions are equivalent to 4/5. Explain

Answers

A fraction equvilent to 4/5 is also 8/10 also 12/15. to find an equivalent fraction all you have to do is multiply top and bottom ( numerator & denominator ) by the same number. 

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)

Answers

V=(4/3)pir^3
r=12
V=(4/3)pi12^3
V=(4/3)pi1728
V=2304pi in^3
Hi There!

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)?

Vol = (4* \pi * x^(3) )/(3)

Therefore the answer would be 
V = 2304π cubic inches

Another way is?


V = 4/3πr³
r = 12 in.

V = 4/3π(12 in)³

V = 4/3π(1728 in³)

V = 2304π in³