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stira [4]
2 years ago
7

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. What is the length of

the third side of the triangle?
A. 58.04
B. 47.43
C. 33.60
D. 53
Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

A. 58.04°

Step-by-step explanation:

Let the sides of the triangle be A , B  and C.

A = 32

B = 35

C = what we don't know.

The opposite angle to C is 120° and its just denoted as ∡C

The formula to find C² = A² + B² - 2ABcos∡C

C² = 32² + 35² - 2(32)(35)cos120°

C² = 1024 + 1225 - 2240cos120°

C² = 3369

C = \sqrt{3369} ≅ 58.04°


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Answer:

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

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m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Find the volume of the solid. Use 3.14 for π.​
marta [7]

Answer:

<h2><em>vol= 10366.3175in²</em></h2>

<em></em>

Step-by-step explanation:

So this is a cylinder

<h2>formula: π r²h</h2>

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

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<h2><em>10366.3175in²</em></h2>

<em></em>

<em>i think it is correct </em>

<em>.</em>

<em>stay safe</em>

<em>.</em>

<em>have a nice TIME</em>

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What is importance of banks to ecomics​
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