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vichka [17]
3 years ago
12

Use the law of cosines to find the length of side C.

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0

Answer:

\text{D. 36.64}

Step-by-step explanation:

The Law of Sines is given by \frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C} and works for any triangle.

Therefore, we have the proportion:

\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}

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Please someone help me with this ASAP especially with the workout!!
lara31 [8.8K]

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

3 0
3 years ago
I will give brainlest
AfilCa [17]
1. X + 5
2.15-15
3. C= ( 3x9.95)+(2x14.98)
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5. 12,000+500x ?idk
6 0
2 years ago
(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ
quester [9]

Answer:

<h2>5</h2>

Step-by-step explanation:

Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.

On expanding the left hand side of the expression we have;

= (8x² −15x)−(x² −27x)

Open the paranthesis

= 8x² −15x−x²+27x

collect the like terms

= 8x²−x²+27x −15x

=  7x²+12x

Comparing the resulting expression with ax²+bx

7x²+12x =  ax²+bx

7x² = ax²

a = 7

Also;

12x = bx

b =12

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a is equivalent to 5

3 0
2 years ago
Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 1
Dahasolnce [82]

Answer:

<h3>Option c) H_a:\mu is correct</h3><h3>The alternate hypothesis for the significance test is H_a:\mu</h3>

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be \mu and stadard deviation be \sigma

The null hypothesis states that population value is equal to the value mentioned in the given claim.

H_0:\mu=18 (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴ H_a:\mu

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

<h3>∴ option c) H_a:\mu is correct.</h3>
3 0
2 years ago
Need a correct answer please
zloy xaker [14]

Answer       x=14         y=1

Step-by-step explanation:

3 0
2 years ago
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