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3 years ago

11

If Jerry got 40 dollars every month, how much would he have a year?

1 answer:

zysi [14]3 years ago

4 0

Jerry would have in a year $480

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1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute :

$d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}$

$d=1\ km$

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

$\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20$

Thus we have

$x.x'+y.y'=20$

Solving for x'

$\displaystyle x'=\frac{20-y.y'}{x}$

Since y'=-60

$\displaystyle x'=\frac{20+0.6(60)}{0.8}$

$x'=70\ km/h$

The SUV is running at 70 km/h

7 0

3 years ago

Please help !! Use Pythagorean theorem :) and show your work if you can thanks :”) will give b

g100num [7]

Answer:

$b=\sqrt{1575}$ ≈ 39.7ft

Step-by-step explanation:

The Pythagorean theorem:

$a^{2}+ b^{2}= c^{2}$

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)

First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.

$45^{2}+ b^{2}= 60^{2}$

$2025+b^{2} =3600$

To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

$b^{2} =1575$

$b=\sqrt{1575}$ ≈ 39.7ft

7 0

3 years ago

An envelope contains $1.20 in dimes and nickels. if the dimes were quarters and the nickels were dimes, there would be $1.35 mor

balu736 [363]

The nickels in the envelope is $0. 12

<h3>How to determine the number</h3>

From the information given, we have that;

Dimes + nickels = $1. 20

1/4 dimes + dimes = $ 1. 35

Let dimes = d

Nickels = n

d + n = 1. 20 equation a

d/4 + d = 1. 35 equation b

Make 'd' subject from equation a

d = 1. 20 - n

Substitute into equation b

1. 20 - n/ 4 + 1. 20 - n = 1. 35

0. 3 - 0. 25n + 1. 20 - n = 1. 35

collect like terms

- 1. 25n = 1. 35 - 1. 5

- 1. 25 = - 0. 15

n = -0. 15/ -1. 25

n = 0. 12

Thus, the number of nickels in the envelope is $0. 12

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

7 0

2 years ago

A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement. what is the probability th

Yuliya22 [10]

Probability (first marble red and second marble blue) = (3/7) × (4/6) = 2/7

7 0

3 years ago

Find the value of x for the right triangle.

Ivahew [28]

the value of x for the right triangle is 60

Step-by-step explanation:

3 0

3 years ago