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Sliva [168]
3 years ago
5

in a building there are 32 apartments with 2 bedrooms and 3 bedrooms. knowing that there are 86 bedrooms in total, write a syste

m of equations for the context of the problem
Mathematics
1 answer:
xenn [34]3 years ago
6 0
Let the number of 2 bedroom apartments be x and that of 3 bedroom apartments be y, then

x + y = 32
2x + 3y = 86
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In triangle ABC, mA= 40°, the length of side AB is 7 cm and the length of side BC is 5 cm. Find the measure of angle C using the
Sauron [17]

Answer:

C = 64.145º

Step-by-step explanation:

The Law of Sines is as follows:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

The problem can be draw as the picture attached.

Now, the values of the sides and angles can be substituted into the Law of Sines, and because all parts are equal, only two are needed:

\frac{sin40}{5} = \frac{sinC}{7}

Next, cross-multiply:

7sin40º = 5sinC

Then, divide both sides by 5:

\frac{7sin40}{5} = sinC

Finally, take the inverse sin of the left side and convert into a decimal:

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3 years ago
A flagpole broke in a storm. It was originally 81 feet tall. 28 feet are still sticking straight out of the ground, where it sna
Nina [5.8K]
Hidden right triangle
28 feet tall (1 leg)
the piece that fell over is the hypotonuse
last leg is what we need to find

81-28=53


a²+b²=c²
a and b are legs and c is the hypotonuse

given
on leg is 28 and the hypotonuse is 53
th othe leg is b
28²+b²=53²
784+b²=2809
minus 784 from both sides
b²=2025
sqrt both sides
b=45

answer is 45ft
4 0
3 years ago
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Step-by-step explanation:

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2 years ago
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Zinaida [17]

Answer:

3

Step-by-step explanation:

-3x-9=-6x+18

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3 years ago
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