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Olin [163]
3 years ago
8

In triangle ABC, c = 9 m/_B = 65° and a = 105. Find b.​

Mathematics
2 answers:
tresset_1 [31]3 years ago
5 0

Answer:

b = 101.52

Step-by-step explanation:

b^2 = a^2 + c^2 - 2ac CosB

b^2 = 105^2 + 9^2 - 2(105)(9) Cos 65°

b^2 = 11 106 - 798.75

b^2 = 10 307.25

b = 101.52

garik1379 [7]3 years ago
3 0

Answer:101.52

Step-by-step explanation:

Given

a=105

c=9

B=65^{\circ}

using cosine rule

2acCosB=a^2+c^2-b^2

2(105)(9)Cos65=105^2+9^2-b^2

b^2=11025+81-798.7485

b=101.524

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Determine which of the following ordered pairs satisfies the given system of equations.
alekssr [168]

Answer:

(-3,2)

Step-by-step explanation:

1) -2x+y=8

you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.

y=8+2x

2) y=2x/(5-8)

3) 8+2x=2x/(5-8)

now, you need the x value. for that, you need to leave x alone on one side.

8+2x=2x/(-3)

8+2x=-(2/3)x

8=-(2/3)x-2x

8=-(8/3)x

8/-(8/3)=x

-3=x

4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.

-2x+y=8

y=8+2x

y=8+2*(-3)

y=2

result:

x= -3

y=2

8 0
3 years ago
16fy
Sedaia [141]

Answer:

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8 0
3 years ago
The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft
cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.387

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0
3 years ago
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
Jlenok [28]

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60

6 0
2 years ago
How many of the first 15 positive integers can be written as the sum of three squares?
Jlenok [28]

Answer

no number from the following list can be expressed as the sum of three squares: 7, 15, 23, 31, 39, 47, ect...  so only once

Step-by-step explanation:

nono dont touch me there this is my nono square

3 0
2 years ago
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