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ollegr [7]
3 years ago
10

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

Mathematics
1 answer:
monitta3 years ago
6 0

<u>Answer:</u> The ratio that represents the cosine of ∠T is \frac{56}{65}

<u>Step-by-step explanation:</u>

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

\cos \theta=\frac{\text{base}}{\text{hypotenuse}}

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

\cos \theta=\frac{UV}{TU}=\frac{56}{65}

Hence, the ratio that represents the cosine of ∠T is \frac{56}{65}

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A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

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Step-by-step explanation:

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Material to be used (S) = 2(xy + x² + xy) - Area of lid

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For least amount of material used,

We will find the derivative of the given function and equate it to zero.

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7 0
3 years ago
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
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Answer:

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3 0
2 years ago
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