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Soloha48 [4]
3 years ago
14

7. 4y(5y - 11) – 2y(3y + 10)

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

14y^{2} -64y

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is 14y^{2} -64y

Hope this helps!

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

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3 years ago
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