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Strike441 [17]
3 years ago
10

A plumber charges a fixed fee of $75 to make a service call, plus an hourly rate of $40. Alejandro needs to hire the plumber for

a job that will take 6 hours. Write and solve an equation for the total cost of the job.
Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

Hank was watching the winter Olympics and was amazed at the distance the ski jumpers were able to travel. By looking at their posture in flight Hank was able to determine how they stayed in the air for so long. How does body posture affect flight in ski jumping?

Bending the knees keeps the body tucked for better distance

Holding the arms away from the body allows for better balance and further distance

Leaning backward and more upright increases the chance to ride a thermal

Leaning forward with the head close to the tips of the skis allows for better aerodynamics

Step-by-step explanation:

WHATS THE ANSWER

You might be interested in
The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.
Olin [163]

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

6 0
3 years ago
URGENT! CORRECT ANSWER WILL RECEIVE BRAINLIEST
disa [49]

Step-by-step explanation:

Is this the correct answer???

6 0
3 years ago
alisson separates her 23 stickers into 4 equal piles.how many stickers does she have left over? A27 B 19 C 5 D 3
klemol [59]

We need to find the remainder- the sticker left over

Divide 23 stickers into 4 piles = 23/4= 5 stickers per pile and 3 stickers left over

D. She would have 3 stickers left over

6 0
3 years ago
Bens mom wants to buy carpet for the family room the measures 12 feet by 11 feet she can purchase the carpet on sale for $6 how
podryga [215]
12 times 11 is 132.
132 times $6 is $792

Hope this helps!
7 0
3 years ago
Read 2 more answers
I need to find measure of angle "u" m
garik1379 [7]

Answer:

30°

Step-by-step explanation:

TW UV

If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.

The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.

Now, looking at the image, we can see that:

Arc TW subtends Angle V and Angle U

*on the opposite side of the circumference*

So,

Angle V (measure given to be 30) is HALF of Arc TW, so

Arc TW = 2 * 30 = 60

So, Angle U is half of Arc TW

60/2 = 30

Hence,

<u>∠U = 30°</u>

7 0
3 years ago
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