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Len [333]
3 years ago
9

If A and B are complementary angles and A = (8x+20), B = (7x-5) find A

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

m∠A = 60°

Step-by-step explanation:

Complementary Angles add up to 90°

Step 1: Set up equation

8x + 20 + 7x - 5 = 90

Step 2: Solve for <em>x</em>

15x + 15 = 90

15x = 75

x = 5

Step 3: Find m∠A

m∠A = 8x + 20

m∠A = 8(5) + 20

m∠A = 40 + 20

m∠A = 60°

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900 is the answer.hth
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mrs. henein is purchasing cupcakes for her homeroom class. of each cupcake costs $2.25 and she has 31 students in her homeroom c
Luda [366]

Answer:

$69.75

Step-by-step explanation:

Multiply $2.25 by 31 students

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A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is
Gemiola [76]
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: V= \pi r^2h
where
V is the volume 
r is the radius 
h is the height 

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: V=500cm^3. We also know that the radius is r cm and height is h cm, so r=rcm and h=hcm. Lets replace the values in our formula:
V= \pi r^2h
500cm^3= \pi (rcm^2)(hcm)
500cm^3=h \pi r^2cm^3
h= \frac{500cm^3}{ \pi r^2cm^3}
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Next, we are going to use the formula for the area of a cylinder: A=2 \pi rh+2 \pi r^2
where
A is the area 
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We know from our previous calculation that h= \frac{500}{ \pi r^2}, so lets replace that value in our area formula:
A=2 \pi rh+2 \pi r^2
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7 0
3 years ago
Solve using the quadratic formula 2x^2 + 7x - 15 = 0
marissa [1.9K]

Answer:

1.5 or -5

Step-by-step explanation:

2x²+7x-15=0

Divide by 2:

x²+7x/2-15/2=0

x=-7/2/2 ± √49/4(4)+15/2

  =-7/4 ± √49/16+120/16

  =-7/4± √169/16=-7/4 ±13/4

  =6/4 or -20/4

   =1.5 or -5

3 0
2 years ago
A person is selected at random. If there are seven days in a week, what is the probability that the person was not born on a Tue
levacccp [35]

Answer:

5 out of 7.

Step-by-step explanation:

There are seven days in one week. They are asking what is the probability of the person chosen not being born in a Tuesday or Wednesday. There are five other days, so there are five other options.

I hope I helped you!

7 0
3 years ago
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