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3 years ago

Given the regular decagon what is the measure of each given angle

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

3 0

I believe it’s the third option

OLga [1]3 years ago

3 0

"deca-" signifies "tens." A full circle is 360 degrees, so angle 1 is 360 degrees divided by 10, or 36 degrees. That means that answer choice 3 is correct. But note that I could not read choice 4. Before you accept this response from me, go back and check choice 4. The measure of angle 1 MUST be 36 degrees.

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Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80

SashulF [63]

This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors

8 0

4 years ago

WILL MARK BRAINLIEST!!! What is the exact value of tan(−3π4) ?

Hoochie [10]

Answer:

-12π

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

From the top of a vertical tower 248 m high , a stone is projected vertically downwards with a speed of 8 ms . After x seconds a

Valentin [98]

It is 2 that what i got and i think i got it write if not delete

4 0

3 years ago

Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

guapka [62]

Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always draw a diagram first (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to find "x", which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

Use the trig. ratio sine because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to find "x", which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. The trig. ratio that has adjacent and opposite is tangent.

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0

4 years ago

Seven subtracted from c is less then -18: translate into an inequality

777dan777 [17]

Answer:

c - 7 < -18

Step-by-step explanation:

Seven subtracted from c : c - 7

c - 7 < -18

3 0

3 years ago