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Doss [256]
2 years ago
11

Given line segment AB with endpoints A(-1,7) and B(11, -1) Find the length of AB.

Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0

Step-by-step explanation:

some to check if it correct

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
3 years ago
In the following diagram lines m are n parallel the measures of AEB, BAE and CED are shown what is the measure of EBF
guapka [62]

Answer:

∠ EBF = 98°

Step-by-step explanation:

(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then

3x - 15 = 2x + 10 ( subtract 2x from both sides )

x - 15 = 10 ( add 15 to both sides )

x = 25

3x - 15 = 3(25) - 15 = 75 - 15 = 60°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBF is an exterior angle of the triangle , then

∠ EBF = 60° + 38° = 98°

8 0
2 years ago
what is an equation in the point-slope form of the line that passes through (-3,-1) and has a slope of 2?
LuckyWell [14K]

Answer:

well it would have to be y=2x-3

Step-by-step explanation:

yup

4 0
3 years ago
Which graph shows three points that represent equivalent ratios?<br> hurry plz
pshichka [43]

Answer:

it will be c because you see the points on the grid if its wrong my bad

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
20
elena-s [515]

Answer:

12 in

Step-by-step explanation:

the scale factor of the enlarged frame is found by comparing the widths

original width : enlarged width = 2 : 6 = 1 : 3

That is 3 times the original width , then

enlarged height = 4 × 3 = 12 in

7 0
3 years ago
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