A tree stands 15 ft high. Its shadow is 5 ft long. A man 6 ft tall stands near the tree. What would be the

Mathematics

2 answers:

blsea [12.9K]3 years ago

7 0

Answer:

By my calculations, the answer I got is 2.

Step-by-step explanation:

Divide 5 by 15. The answer is 0.33.

Multiply 0.33 by 6, you get 1.98. To the nearest foot, it is 2.

Alika [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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4sin^2 + 13cos^2 = 7. Find cos Please read the picture question carefully and help !!

Vanyuwa [196]

4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!

5 0

3 years ago

3x-4y=11 3x+2y=2 please help, I need to find what the answer is for x and y

Zielflug [23.3K]

Answer:

I have attached a picture of me solving the equation.

Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.

The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.

The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.

Hope this helps, thank you !!