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2 years ago

GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION HELP NOW

Mathematics

1 answer:

Serjik [45]2 years ago

3 0

Answer:

x = 250°

Step-by-step explanation:

"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"

From the figure attached,

Angle between the chord and the tangent = 55°

Measure of intercepted arc (minor arc AB) = h°

Therefore, 55° = $\frac{1}{2}(h)$

$h=110^0$

And m(minor arc AB) + m(major arc AB) = 360°

h° + x° = 360°

110° + x° = 360°

x° = 360° - 110°°

x = 250°

Therefore, measure of the intercepted arc is 250°.

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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

Whitepunk [10]

Answer:

$A=81\pi $ m^2$

Step-by-step explanation:

Circumference of the column $=18\pi $ meters$

Circumference of a circle $=2\pi r$

Therefore:

$2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters$

Area of a Circle $=\pi r^2$

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

$=\pi *9^2\\=81\pi $ m^2$

5 0

3 years ago

You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

8 0

3 years ago

1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write

jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

6 0

1 year ago

What is the perimeter of the triangle?<br>

Naya [18.7K]

Answer:

30 units

Step-by-step explanation:

if you count the boxes that each side takes up you get the first side being equal to 5 units and the base being equal to 12 units. because this is a right triangle to find the length of the hypotenuse you have to use the Pythagorean equation. when you input the values into the equation you get 5^2 + 12^2 = 169 which square roots to 13. after doing this you have the length of the final side, now input them into the formula for the perimeter of a triangle which is a + b + c and you get a perimeter of 30 units,

Please mark as brainliest :)

7 0

3 years ago

Read 2 more answers

Analyze prism shown, thank you.

inn [45]

A.
Faces - 8
Lateral Faces - 6

B.
Vertices - 12

C.
Edges - 18

D.
The base of the prism is a hexagon and the figure as a whole is a hexagonal prism.

6 0

3 years ago