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3 years ago

Kate's soccer team is selling coupon books and recipe books to raise

Mathematics

1 answer:

uranmaximum [27]3 years ago

5 0

Answer:

28 coupon books

Step-by-step explanation:

Let the number of coupon books be c and recipe books be r.

Then we have following equations:

c + r = 42
12c + 7.5r = 441

Substitute r in the second equation and solve for c:

r = 42 - c
12c + 7.5(42 - c) = 441
12c - 7.5c + 315 = 441
4.5c = 441 - 315
4.5c = 126
c = 126/4.5
c = 28

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Solve the right triangle, ΔABC, for the missing sides and angle to the nearest tenth given angle B = 27° and side c = 15.

nignag [31]

Answer:

Part 1) $C=90\°$

Part 2) $A=63\°$

Part 3) $b=6.8\ units$

Part 4) $a=13.4\ units$

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The triangle ABC is a right triangle

Angle C is a right angle

therefore

$C=90\°$

step 2

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we know that

In the right triangle ABC

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we have

$B=27\°$

substitute

$27\°+A=90\°$

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step 3

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we know that

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$sin(B)=b/c$

$b=(c)sin(B)$

substitute the given values

$b=(15)sin(27\°)=6.8\ units$

step 4

Find the length side a

we know that

In the right triangle ABC

$sin(A)=a/c$

$a=(c)sin(A)$

substitute the given values

$a=(15)sin(63\°)=13.4\ units$

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3 years ago

Omani wants to place a computer 24 1/2 inches long in the center of a table that is 28 3/4 inches wide. About how far from the e

kirza4 [7]

Answer:

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I hope this helps and please don't hesitate to ask if there is anything still unclear!

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