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fomenos
2 years ago
13

Kim has a 15 meter head start and has a walking rate of 1.5 meters per second. Write an equation that gives the relationship bet

ween Kim's distance from the starting line d and the the time t.
Mathematics
1 answer:
allochka39001 [22]2 years ago
7 0

Step-by-step explanation:

It is given that,

Distance, d = 15 m

Speed of Kim,v = 1.5 m/s

We need to find the equation that gives the relationship between Kim's distance from the starting line d and the time t. Speed of an object is given by :

speed = distance/time

⇒ t=\dfrac{d}{v}

Putting all the values,

t=\dfrac{15\ m}{1.5\ m/s}\\\\t=10\ s

Hence, this is the required solution.

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How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4
Nimfa-mama [501]

<u>7.1 cm  long is the arc</u><u> intersected by a central angle .</u>

What is length of an arc?

  • The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
  • Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

Given,

Central angle = π / 2

radius = 4.5 cm

we apply formula of length of arc.

length of the arc = angle ×  radius

                              = (π/2) × (4.5 cm)

Now put value of π = 3.14

length of the arc = (3.14 / 2) × (4.5) cm

                            = 7.065 cm ≈ 7.1 cm

Therefore, 7.1 cm  long is the arc intersected by a central angle .

Learn more about<u> </u> length of an arc

brainly.com/question/16991078

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7 0
1 year ago
Can you factor x^2+6z+12 please
Gemiola [76]
To solve we have to write 12x as 2x+10x 
<span><span>x2</span>+2x+10x+20</span>
taking x and 10 as a common
x(x+2)+10(x+2)
now (x+2) is common
<span>(x+2)(x+10) answer</span>
6 0
2 years ago
A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =
vovikov84 [41]
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}

(B ∪ C) = {1, 2, 4, 5, 6, 7, 8, 9, 10}
so
A ∩ (B ∪ C) = {1, 5, 7 , 9}
6 0
3 years ago
PLEASE HELP WILL MARK BRAINLEIST
horsena [70]

Answer:

The picture shows the answer on the graph

Step-by-step explanation:

-2=-3/4×(x-6)

Distribute -3/4 through the parenthesis

-2= -3/4x+9/2

Multiply both sides of the equation by 4

-8=-3x+18

Move the variable to the left side and change its sign

3x-8=18

Move constant to the right side and change its sign

3x=18+8

Add the numbers

3x=26

Divide both sides of the equation by 3

x=26/3

Alternative Form- x=8 2/3 or x=8.6

7 0
3 years ago
What are the coordinates of the point on the directed line segment from (–9, -7) to
pentagon [3]

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: \frac{bx_1+ax_2}{a+b} and

y coordinate: \frac{by_1+ay_2}{a+b}

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

\frac{4(-9)+3(-2)}{7} which simplifies down to -6, and

the y coordinate of the directed point is

\frac{4(-7)+3(7)}{7} which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

4 0
3 years ago
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