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2 years ago

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Hours worked 6 Hourly wage 3.95 Plus tips 21.65

1 answer:

AleksandrR [38]2 years ago

4 0

The answer is $45.35

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I need explanations. I don't understand this. Please click on the picture.

AlekseyPX

1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh

the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given

so:

a=1/2(24)(24)
a=(12)(24)
a=288 sq. inches

since there are two triangles, you would multiply the area by 2

a=2(288)
a=576 sq. inches

now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.

a=576-(lw)
a=576- (10)(10)
a=576-100
a=476 sq. inches

that is your answer

5 0

3 years ago

What is the value of x to the nearest tenth? A 14. B 14.4. C 13.5. D 13.2

Ivan

Answer:

x=13.5

Step-by-step explanation:

sin 48 = opposite/ hypotenuse

sin 48 = 10/x

multiply by x on each side

x sin 48 =10

divide by sin 48

x = 10/sin 48

x = 13.456

round to the nearest tenth

13.5

3 0

3 years ago

Read 2 more answers

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

A.

gross pay $32,600 - 100%,
total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

Employee A receives 3.07% of gross pay in employee benefits.

B.

gross pay $32,900 - 100%,
total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

Employee B receives 3.34% of gross pay in employee benefits.

C.

gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

Employee C receives 1.50% of gross pay in employee benefits.

D.

gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

$\dfrac{33,700}{34,700}=\dfrac{100}{x},\\ \\33,700\cdot x=34,700\cdot 100,\\ \\x=\dfrac{34,700\cdot 100}{33,700}=\dfrac{34,700}{337} \approx 102.97.$

Employee D receives 2.97% of gross pay in employee benefits.

Answer: correct choice is B.

7 0

3 years ago

Read 2 more answers

Given the following function, find f(-2), f(0), and f(1).<br> f(x) = 5x +5<br><br> f(-2) =

Finger [1]

Answer:

f(-2) = -5

f(0) = 5

f(1) = 10

Step-by-step explanation:

f(-2) = 5(-2) + 5 → -10 + 5 = -5

f(0) = 5(0) + 5 → 0 + 5 = 5

f(1) = 5(1) + 5 → 5 + 5 = 10

4 0

2 years ago

Read 2 more answers

nexus9112 [7]

Answer:

- Equal midpoints of AC and BC.

- The product of the slopes of the diagonals AC and DB is -1.

Step-by-step explanation:

1. Plot the given points, as you can see in the graph attached.

2. Calculate the midpoint of AC and DB:

$M_{AC}=(\frac{-5+(-1)}{2},\frac{-1+5}{2})=(-3,2)\\M_{DB}=(\frac{-9+3}{2},\frac{6+(-2)}{2})=(-3,2)$

Therefore, the midpoint of AC and DB are equal.

3. Calculte the slope of the diagonals AC and DB:

$m_{AC}=\frac{5-(-1)}{-1-(-5)}=\frac{3}{2}\\m_{DB}=\frac{-2-6)}{3-(-9)}=-\frac{2}{3}$

4. Multiply the slopes of the diagonals:

$(\frac{3}{2})(-\frac{2}{3})=-1$ (AC and DB are perpendicular)

5 0

3 years ago