3 years ago

The diagram shows a right triangle with legs that measure 4 and 7.

Mathematics

1 answer:

anyanavicka [17]3 years ago

3 0

Calculate the hypotenuse( h ) using Pythagoras' identity

h =√(4² + 7²) = √(16 + 49) = √65

sinΘ = 4 / √65 ⇒ cscθ = √65 / 4

cosθ = 7/ √65 ⇒ secθ = √65 / 7

tanθ = $\frac{4}{7}$ ⇒ cotθ = $\frac{7}{4}$

You might be interested in

in the first quadrant you start at 11,8 and move 9 units left and 3 units up what point will you end up on

Umnica [9.8K]

Eleven subtract nine is two; eight adding three is eleven (2,11)

8 0

2 years ago

A coin is being flipped 400 times. What is the probability of it landing on heads at most 170 times, rounded to the nearest tent

lisabon 2012 [21]

Hello!

We have two probabilities we can use; we have 170/400, for our experiment, and 1/2, which is our theoretical probability.

To solve, we just multiply the two probabilities.

$\frac{170}{400}(1/2)$ =0.2125≈21.3

Therefore, we have about a 21.3% chance of this event occurring.

I hope this helps!

8 0

2 years ago

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

2 years ago

Henry knows that the area of a rectangle is 30 square inches. The perimeter is 22 inches. If the length is 1 inch longer than th

dsp73

The length is 6 inches and the width is 5 inches

5 0

2 years ago

How many lines of symmetry does an rectangle have

Alex73 [517]

Answer:

It has 2 i hope it's correct :)

6 0

2 years ago