Use the diagram to complete the statement. m∠ECF = degrees

Mathematics

1 answer:

alexdok [17]3 years ago

5 0

Answer:

36.86989765

Step-by-step explanation:

As Angle GBC = Angle CDF = 45, so CF = CD as it is an isosceles right triangle , then as sin(45) = 1/root(2), so CF = 12, then tan(angle ECF) = FE/CF = 9/12, then angle ECF = tan^-1 (9/12) = 36.86989765.

If it is helpful, plz give me Brainliest.

You might be interested in

what is the volume of this cone use Pi 3.14 and round your answer to the nearest hundredth radius 14 height 14

Anton [14]

The volume of the cone is 3.14 x 14 x 14

3 0

4 years ago

Can the sides of a triangle have lengths 1, 3, and 10?

Troyanec [42]

Answer:

yes the sides of a triangle can have all those sides

3 0

3 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .