Answer:
Cot(theta) = - 0.75 or -3/4
Step-by-step explanation:
The hypotenuse is 5
The y value is 4
We need to find the corresponding x value.
x^2 + y^2 = z^2
X = ?
y = 4
z = 5
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
Now in this case, you are in quadrant 2, so the x value is - 3
sqrt(x^2) = sqrt(9)
x = - 3
The cot value is the adjacent (x value) / the opposite ( y ) value
Cot(theta) = -3/4
cot(theta) = -0.75
Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = 
= 0.84167
Y = 
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°
12 x 6 x 3 = 216
Volume = 216 cm cubed
216/0.03 = 7200
Answer = 7200 pencils
Hope it helped :)
A)The reels did the electrician check out from the storeroom is 16 reels.
B) 800 feet of cable were checked our from the storeroom, if each reel has 50 feet of wire.
C) 730 feet of cable did the electrician use on the job.
Given that during the course of working on a wiring job, an electrician checks out the following cable stocks from the storeroom: 5 reels, 3 reels, 1 reel, 3 reels, and 4 reels. at the end pf the job he returns to the storeroom 1 full reel and a partial reel with 20 feet remaining.
The total number of reels are 16 in the store room and each reel is of 50 feet . As a result total reel has 800 feet and at last he left with 1 reel and 20 feet reels so that reel that left is 730 feet
Therefore,A)The reels did the electrician check out from the storeroom is 16 reels.
B) 800 feet of cable were checked our from the storeroom, if each reel has 50 feet of wire.
C) 730 feet of cable did the electrician use on the job.
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C. Exactly one unique triangle exists with the given side lengths.
<u>Step-by-step explanation:</u>
A triangle consists of three sides, depending on the measurement of the sides, naming of the triangles can be varied.
If all the three sides are equal in length, it is said to be an equilateral triangle. Only one triangle can be formed using the measures of 7 in, 7 in, 7 in, that is all the three sides are same in measurement of 7 inches.
So, Exactly one unique triangle can be produced with the given side lengths.