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DedPeter [7]
3 years ago
12

50 POINTS!!!!

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

90 cubic inches

Step-by-step explanation:

V = 1/3 · area of base · height

V = 1/3 · 18 · 15

V = 6 · 15

V = 90

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The graph below shows the velocity f(t) of a runner during a certain time interval:
Jlenok [28]
For this case, the first thing we must do is take into account the definition of the axes:
 the x axis is time in seconds
 the y axis is velocity in meters per secon
 
 Then, we look for the cut point with the y axis, which is given by:
 (0, 2)
 This means that the initial speed is 2 m / s.
 
 We now look for the cut point with the x axis, which is given by:
 (8, 0)
 This means that the speed is 0 m / s, so the runner stopped when the time is 8 seconds.

 Answer:
 
The initial velocity of the runner was 2 m / s, and the runner stopped after 8 seconds.
5 0
2 years ago
Read 2 more answers
Terry pays £480 per month in rent.
Sholpan [36]

Answer: £516

Step-by-step explanation:

7.5 increase = 100 + 7.5 = 107.5

107.5/100 = 1.075 (multiplier)

480 x 1.075 = 516

8 0
3 years ago
HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
What is the distance between the points (-12, 11) and (-18, 17), to the<br> nearest tenth? *
Basile [38]

Answer:

8.5 units

Step-by-step explanation:

The distance between two points is given by

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then

d=\sqrt{(-18--12)^{2}+(17-11)^{2}}

d=\sqrt {36+36}

d=8.48528137423857 units

Rounded off to nearest tenths

d=8.5 units

6 0
3 years ago
How do I find the base of a triangle and the remaining side lengths?
Ann [662]
You look at the triangle...

The sides there are four

The base is the bottom

...
8 0
3 years ago
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