theta is in the fourth quadrant where the cosine is positive.
the third side in the triangle = sqrt (4 - 2) = sqrt2
So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)
tan theta = - sqrt2 / sqrt2 = -1
The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ XYZ
∵ ∠ YXZ is a right angle
∴ The hypotenuse is YZ
∵ The adjacent side to ∠XYZ is XY
∵ The opposite side to ∠XYZ is XZ
∵ YX = 12 units
∵ XZ = 10 units
- Use tan ratio to find the measure of the angle because you
have the adjacent and opposite sides of the angle XYZ
∵ m∠XYZ is x
∵ 
∴
- To find x use the inverse of tan(x)
∵
∴ x = 39.8°
∴ m∠XYZ = 39.81°
The best approximation for the measure of angle XYZ is 39.8°
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
1) 675,000.
2) 356,000
Step-by-step explanation:
There are some rules to round off to the nearest thousand.
1. While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’.
2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.
We have given two numerals:
1)<u> 674,620</u>
According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.
The answer is 675,000.
2) <u>355,500</u>
According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.
The answer is 356,000....
Answer:
RO
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
5(x−6+3x)2−6
10(4x-6)-6
40x-60-6
40x-66
x=2
40*2-66
80-66
14