We have a right triangle with a 15m hypotenuse and a 8m leg. If we use x for the missing leg then the Pythagorean Theorem states that:

Then we have to solve that equation for x:
![\begin{gathered} x^2=15^2-8^2=225-64 \\ x^2=161 \\ x=\sqrt[]{161} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D15%5E2-8%5E2%3D225-64%20%5C%5C%20x%5E2%3D161%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B161%7D%20%5Cend%7Bgathered%7D)
So the answer is the square root of 161.
4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ
hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)
Ratio of their bases =
Ratio of their altitudes = 
<u>Step-by-step explanation:</u>
For first rectangle, it was given that
Base 1 = 12 inches
Altitude 1 = 6 inches
For the second rectangle, it was given that
Base 2 = 10 inches
Altitude 2 = 5 inches
Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.
Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.
Ratio of their bases =
Ratio of their altitudes = 
Answer:
Step-by-step explanation:
Profit, P(x), is the difference between revenue, R(x), and cost, C(x)
R(x) = 2x^4 - 3x^3 + 2x - 1
C(x) = x^4 -x^2 + 2x + 3
Substituting into the equation
P(x) = R(x) - C(x)
= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)
= x^4 - 3x^3 + x^2 - 4
The answer is the lower left option.
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<h3>4 + 3s + 2 </h3>
→ Terms - <u>Three</u> (<u>Trinomial</u>)
→ Coefficient - <u>3</u>
→ Constants - <u>4</u> and <u>2</u>
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