Answer:
m∠CEH = 79°
Step-by-step explanation:
From the picture attached,
∠CED and ∠CEH are the pair of linear angles.
Since, pair of linear angles are supplementary angles.
m∠CED + m∠CEH = 180°
101° + m∠CEH = 180°
m∠CEH = 180° - 101°
= 79°
Therefore, measure of angle CEH is 79°.
In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.
The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.
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Answer: The correct option is (A) Tangent is positive in Quadrant I.
Step-by-step explanation: We are given to select the correct statement from the options provided.
The rule of signs for the trigonometric ratios in the four quadrants are as follows :
Quadrant I : All the three ratios, tangent, sine and cosine are positive.
Quadrant II : Only sine is positive, cosine and tangent are negative.
Quadrant III : Only tangent is positive, sine and cosine are negative.
Quadrant IV : Only cosine is positive, sine and tangent are negative.
Therefore, using the above rules, we can say that the options (B), (C) and (D) are incorrect.
Option (A) is correct because all the ratios are positive in Quadrant I and so is tangent.
Step-by-step explanation:
get the cost of 12 pencil and divide by those 12 pencils to get the cost of 1 pencil