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3 years ago

7

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t

he side adjacent to angle C?

1 answer:

guajiro [1.7K]3 years ago

8 0

Cos 40 = x/10
10 cos = x
x = 7.66

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Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

nekit [7.7K]

Answer:

Required inequality is $4800+183x>8000$ .

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

$4800+183x>8000$

Hence required inequality is $4800+183x>8000$ .

5 0

3 years ago

Make b the subject of the formula<br><br>A=½(a+b)h

kenny6666 [7]

B=A/(1/2h) -a
work shown below

3 0

3 years ago

Read 2 more answers

Cuales son las raíces solución de la ecuación x^2-5x+4=0

Pepsi [2]

2x - 5x + 4 = 0
- 3x = - 4
x = 4/3

7 0

4 years ago

One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for

EastWind [94]

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

10m + 6v = 60

-<u> 2m + 6v = 42</u>

<u> 8m = 18</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

5 0

3 years ago

According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?

olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

$u_1 = 5\%$ --- initial rate

$u_2 = 3\%$ --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

$\frac{\triangle Y}{Y} = u_1 - 2\triangle u$

This gives:

$\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)$

$\frac{\triangle Y}{Y} = 5\% - 2(2\%)$

$\frac{\triangle Y}{Y} = 5\% - 4\%$

$\frac{\triangle Y}{Y} = 1\%$

<em>This implies that the GDP will increase by 1%</em>

5 0

3 years ago