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2 years ago

a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration

Mathematics

1 answer:

mote1985 [20]2 years ago

4 0

Answer:

The acceleration is

$4.5 {ms}^{ - 2}$

Step-by-step explanation:

Use the equation of motion,

$v = u + at$

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

$9 = 0 + a(2)$

This means that;

$9 = 2a$

Divide both sides by 2 to get:

$a = \frac{9}{2}$

$a = 4.5 {ms}^{ - 2}$

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Find the area of the trapezoid by decomposing it into other shapes. A) 48 cm2 B) 55 cm2 C) 66 cm2 D) 96 cm2

snow_tiger [21]

Answer:

The answer is B.

Step-by-step explanation:

You have to use area of trapezoid formula, A = 1/2×(a+b)×h where a, b are the side lengths and h is height :

$area = \frac{1}{2} \times (a + b) \times h$

$let \: a = 6,b = 16,h = 5$

$area = \frac{1}{2} \times (6 + 16) \times 5$

$area = \frac{1}{2} \times 22 \times 5$

$area = 11 \times 5$

$area = 55 \: {cm}^{2}$

8 0

3 years ago

If f(x)=5x^3-2 and g(x)=x+1, find (f-g)(x)

eduard

(f-g)(X) = f(X)-g(X) = 5x^3-2-x-1= 5x^3-x-3

6 0

3 years ago

The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the

Paraphin [41]

Given:

Consider the vertices of the triangle are (4,4) (6,7) and (8,0).

The triangle is dilated by a scale factor of 3.

To find:

The vertices of the new triangle after dilation.

Solution:

If a figure is dilated by scale factor k with origin as the center of dilation, then the rule of dilation is:

$(x,y)\to (kx,ky)$

The given figure is dilated by scale factor 3 with origin as the center of dilation, then the rule of dilation is:

$(x,y)\to (3x,3y)$

Let the vertices of the triangle are A(4,4), B(6,7) and C(8,0).

Using this rule of dilation, we get

$A(4,4)\to A'(3(4),3(4))$

$A(4,4)\to A'(12,12)$

Similarly,

$B(6,7)\to B'(3(6),3(7))$

$B(6,7)\to B'(18,21)$

And,

$C(8,0)\to C'(3(8),3(0))$

$C(8,0)\to C'(24,0)$

The vertices of the new triangle are (12,12), (18,21), (24,0).

Therefore, the correct option is 4.

7 0

3 years ago

1. If f(x) = 3x^2+x - 2 then f ( - 2) =<br> 32<br> 8<br> -16<br> 12

Debora [2.8K]

Answer:

Step-by-step explanation:

7 0

2 years ago

What part of the expression is a factor? 12+5(-3n-8)

Jlenok [28]

Answer:

Step-by-step explanation:

A factor is a number or an expression that is multiplying something.

5 is multiplying -3n + 8.

Answer: 5 is a factor.

5 0

3 years ago