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zvonat [6]
3 years ago
11

Evaluate each expression.

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

8 + 7 = 17 \\ 10 \times 5 = 50 \\ 8 + 10 = 18 \\ 2 \times 5 = 10
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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

7 0
3 years ago
I need help on please don't send me a file I don't work on my computer
ryzh [129]
X247893ai388349. Haha

8 0
3 years ago
In a certain theater there are 16 empty seats of 24 total seats.write the ratio of empty seats to seats as a fraction in simples
tresset_1 [31]

Answer:

Toot toooottt

Step-by-step explanation:

7 0
3 years ago
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
Ganezh [65]

Answer:

$0.76

Step-by-step explanation:

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.

6 0
3 years ago
Read 2 more answers
Would the answer be .0115 Km?
uysha [10]
Yes it would be 0.115 km.
7 0
3 years ago
Read 2 more answers
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