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3 years ago

Emma says the length of her favorite movie is 120 minutes,but she has rounded the time to the nearest ten

Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

Answer:

The nearest 10 is 120

Step-by-step explanation:

rosijanka [135]3 years ago

7 0

Answer: 120 is the nearest 10 ;)

Step-by-step explanation:

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How do you expand (x-10)(x-10)

denpristay [2]

1 Answer
1.multiply the First terms. x⋅x=x2.
2.multiply the Outside terms. x⋅10=10x.
3.multiply the Inside terms. −10⋅x=−10x.
4.multiply the Last terms. −10⋅10=−100.
5.add all of the answers together. x2+10x−10x−100.
6.combine like terms. x2+10x−10x−100. =x2−100.

4 0

4 years ago

the volume of a rectangular prism can be found by the formula v = lwh where v is the volume, l is length, w is width and h is he

KonstantinChe [14]

V = lwh
48 = 8 x 2 x h = 16h
h = 48/16 = 3

height = 3 inches.

5 0

4 years ago

81.098 rounded to hundredths

pantera1 [17]

The answer is 81.1 because since the 9 place value above 5, you round the number in front of it to 1. so the answer is 81.1. I hope that helps.

3 0

3 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

A goniometer may be used to measure the range of motion of a joint.

Romashka-Z-Leto [24]

Answer:

In the picture, the angle made by the goniometer is classified as a(n)

obtuse

90 and 180

Step-by-step explanation:

On my moma my answer is correct 100%

3 0

3 years ago