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ExtremeBDS [4]
3 years ago
15

What is the value of Y

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0
76 degrees. Angle y is supplementary to angle “2x+20”.
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7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
What is the volume of this composite solid?<br> 16 m<br> 5 m<br> 12 m<br> 9 m
son4ous [18]

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

3 0
3 years ago
9x+16<br> 3<br> &lt;7<br> solve each inequality
Crazy boy [7]

Step-by-step explanation:

9+16×+3

28×<7

35x it's answer can I help

8 0
3 years ago
(07.01 LC)
Elanso [62]
Forth degree trinomial because we have a number that’s to the exponent of four and we have 3 terms.
6 0
3 years ago
61,229 rounding this
Lera25 [3.4K]
Are you rounding to the nearest 100’s place?
8 0
3 years ago
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