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lions [1.4K]
3 years ago
9

In ΔQRS, q = 91 inches, r = 67 inches and ∠S=109°. Find the length of s, to the nearest inch.

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

The length of s is 129 inches to the nearest inch.

Step-by-step explanation:

In ΔQRS

∵ q is the side that opposite of ∠Q

∵ r is the side that opposite of ∠R

∵ s is the side that opposite of ∠S

∵ q = 91 inches, r = 67 inches, m∠S = 109°

→ To find side s we will use the cosine rule

∵ s² = q² + r² - 2(q)(r)cos∠S

∴ s² = (91)² + (67)² - 2(91)(67)cos(109°)

∴ s² = 16739.97808

→ Take square root for both sides

∴ s = 129.3830672

→ Round it to the nearest inch (whole number)

∴ s = 129 inches

∴ The length of s is 129 inches to the nearest inch.

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eduard

Answer:

16

Step-by-step explanation:

10+6=16

5 0
3 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

2^{-0.75}=1-3^{-0.75}

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

2^{-1.25}=1-3^{-1.25}

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

2^{0.75}=1-3^{0.75}

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1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

2^{1.25}=1-3^{1.25}

2.38 = 1 - 3.95

2.38 = -2.95

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6 0
3 years ago
What’s 9 less than 12
Marta_Voda [28]
The answer is 3 because 12-9=3
5 0
3 years ago
Read 2 more answers
Please please please help
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4 0
2 years ago
1.) What is the mode of the data ? Show work ( A.3, B.5, C.8, D.10 )
ArbitrLikvidat [17]
Hey there.

1.) The mode is the number that's most frequent in a given list.
In our list, we have 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10.
Our most frequent number is 6; therefore, our mode is 6.

2.) The median is the number in the middle of a list organized from least to greatest.
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10;
4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9;
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5, 5, 5, 6, 6, 6, 6;
5, 5, 6, 6, 6;
5, 6, 6;
6.
6 is our median.

I hope this helps, despite your answer choices not providing the correct answer.
6 0
3 years ago
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