Question

The length of the hypotenuse of a 30° 60° and 90° triangle is 11 what is the perimeter

Answer 1

What is the missing value to the nearest hundredth
Tan__=7

A.54.94
B.56.94
C.81.87
D.85.94

Answer 2

Find the area of a trapezoid
10 cm, 5 cm,3cm With 45 degree angle

Answer 3

In a 30° 60° 90° triangle, the length of the hypotenuse is twice the shorter leg. So the shorter leg is 11/2. The longer leg (opposite the 60° angle) is √3 times the shorter leg, so it is 11/2 x √3.

The perimeter is the sum of all three sides, so:

Perimeter = 11/2 + 11/2 x √3 + 11

Perimeter = 11/2(1+√3) + 11

Perimeter = 5.5(1+√3) + 11

Perimeter ≈ 29.95

So the perimeter is approximately 29.95 units.

Answer 4

Without knowing the angle, we cannot determine the missing value for the tangent function. However, we can use a calculator to find the angle whose tangent is 7, to the nearest hundredth.

Using the inverse tangent function (tan^-1) on a calculator:

tan^-1(7) ≈ 81.87 degrees

Therefore, the missing value to the nearest hundredth is 81.87 degrees, which corresponds to option C.

Answer 5

To find the area of a trapezoid with bases b1 and b2 and height h, we use the formula:

Area = (b1 + b2) / 2 * h

In this case, we are not given which side of the trapezoid is the longer base (b1) or the shorter base (b2). However, we do know that the trapezoid has a 45 degree angle and the sides adjacent to this angle are 5 cm and 3 cm.

We can use the trigonometric ratio for the tangent of 45 degrees (tan(45) = opposite/adjacent = 1) to find the height of the trapezoid.

tan(45) = h / 5 (opposite is the height, adjacent is 5)
h = 5

Now we can use the formula for the area of a trapezoid, using b1 as the longer base and b2 as the shorter base:

Area = (b1 + b2) / 2 * h

Since we do not have the measured length of the third side, we cannot determine the bases. Therefore, the answer cannot be calculated with the given information.