3 years ago

3) Construct triangle PQR such that PQ = 6 cm, angle PQR =

Mathematics

1 answer:

raketka [301]3 years ago

8 0

Step-by-step explanation:

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An average washing machine uses approximately 32 gallons of water per load and an average dishwasher 42 quarts. Express the diff

Zolol [24]

Answer:

Step-by-step explanation:

32×4=128

128-42=86

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3 years ago

What can you conclude about alternate interior angles?

3241004551 [841]

Answer:

We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

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3 years ago

A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle

Crank

Answer:

Length of the side opposite to angle $116^{\circ}$ is 31.49

Step-by-step explanation:

Included angle can be defined as the angle in between two sides of the triangle.

So angle $116^{\circ}$ is in between sides 16 and 21.

Refer to the attachment for triangle diagram.

To find the length of opposite side, use cosine rule as follows

$a^{2}=b^{2}+c^{2}-2\:b\:c\cos\left(A\right)$

From the diagram, $b = 21,c = 16,\angle A=116^{\circ}$

Substituting the values in the formula,

$a^{2}=\left(21\right)^{2}+\left(16\right)^{2}-2\left(21\right)\left(16\right)\cos\left(116\right)$

Simplifying,

$a^{2}=441+256-225792\left(-0.44\right)$

$a^{2}=991.59$

Taking square root on both sides,

$\sqrt{a^{2}}=\sqrt{991.59}$

$a=31.49$

Therefore length of third side is 31.49

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3 years ago

The perimeter of a rectangular swimming pool at the park is 60 meters. The length of the pool is 4 meters more than the width. W

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P = 60 meters
l = 4 meters

60 / 4 = 20 <-- Because retangles have 4 sides.
If l=4 then subtract 4 from 20
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4 years ago

What type of math is adding subtracting of positive and negative numbers

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Hello There!

It is Arithmetic.

Hope This Helps You!
Good Luck :)

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4 years ago