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Talja [164]
3 years ago
12

A central angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your

answer to one decimal place.)
Mathematics
1 answer:
koban [17]3 years ago
5 0

Answer:

\theta=71.6\°

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=4\ m

substitute the values

C=2\pi (4)=8 \pi\ m

step 2

Remember that

360 degrees subtends the arc of length  8 \pi\ m (circumference)

so

by proportion

Find the measure of θ by an arc of length 5 m

assume \pi=3.1416

\frac{360}{8\pi}=\frac{\theta}{5}\\ \\ \theta=360*5/8\pi \\ \\ \theta=71.6\°

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A flower garden has a length of 10.5 feet and a width of 4.4 feet.
Sav [38]

Answer:

B. 46.2

Step-by-step explanation:

A=L*W

So, Area (A) would be 10.5 X 4.4 which would equal 46.2 sq. feet.

3 0
3 years ago
Determine which of the following ordered pairs satisfies the given system of equations.
alekssr [168]

Answer:

(-3,2)

Step-by-step explanation:

1) -2x+y=8

you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.

y=8+2x

2) y=2x/(5-8)

3) 8+2x=2x/(5-8)

now, you need the x value. for that, you need to leave x alone on one side.

8+2x=2x/(-3)

8+2x=-(2/3)x

8=-(2/3)x-2x

8=-(8/3)x

8/-(8/3)=x

-3=x

4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.

-2x+y=8

y=8+2x

y=8+2*(-3)

y=2

result:

x= -3

y=2

8 0
3 years ago
Please help! (I'll give brainliest to the first right answer.)
a_sh-v [17]

Answer:

1. 2,3; -2, 3

2. Both points share common values, but their absolute values for the x-value vary.

3. 2,3; 2, -3

4. Both points share common values, but their absolute values for the y-value vary.  

Step-by-step explanation:

For 1, the answer is thus:

-On the graph, the original point is 2, 3.

-A reflection over the y-axis changes the x-value, so it would be -2,3.

Similar for the next chart:

-The initial point is 2,3.

-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.

The explanation is:

Both points have similar values except with differences in the absolute value.

Hope this helps you.  

3 0
3 years ago
Read 2 more answers
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dybincka [34]
115 will be the (unit) rate :]
8 0
3 years ago
Please answer the geometry question
In-s [12.5K]

Answer:

300 feet

Step-by-step explanation:

7 0
2 years ago
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