If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
(Note, the picture below is not drawn to scale, don't hold a protractor up to your screen)

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

Answer:

28

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:

2x° = 56°

2x = 56

x = 56/2

x = 28

Answer: x=28

Step-by-step explanation:

A line has to be 180 degrees

You have 56, so 180-55=124 degrees

Angles are parallel because of the two double curve line.

Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.

You know that a triangle is 180 degrees

So 180-124=56 degrees

So the unknown angle and the x angle together have to equal 56 degrees.

Since both angles are the same all you do is 56/2.

Now x= 28degrees

Answer:

See below

Step-by-step explanation:

The median is the middlemost term in a numerically ordered data set.

For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5  meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question

Answer = 523.6meters^3

The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.

As per the given data:

Radius of the sphere = 5 meters

Value of π as given in the question = 3.14

{always use the same value of π as given in the question}

For finding the volume of a sphere with a given radius:

[tex]V = \frac43 \pi r^3[/tex]   {where r is the radius}

[tex]V = \frac43 \times 3.14 \times 5^3[/tex]

V = 523.33 m³

Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Learn more about Volume here:

brainly.com/question/13338592

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Answer:

Step-by-step explanation:

Answer:

56.54

Step-by-step explanation:

Circumference of a circle = 2πr

However, this is a semicircle

Curved circumference of the semicircle = πr

Diametrical length = 2r

Therefore, circumference of a semi circle is πr + 2r

Circumference of a semicircle = πr + 2r

r = 11

Circumference of a semicircle = πr + 2r

= (3.14 * 11) + (2 * 11)

= 34.54 + 22

= 56.54

Answer:

17 just multiply the like dot product of vectors

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

Answer:

168

Step-by-step explanation:

number that prefer four-door cars = percentage of car owners that prefer  four-door cars x total number of people surveyed

56% x 300

0.56 x 300 = 168

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

Answer:

94281 km +- 1 km

572.2 km +- 0.1 km

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

Answer:

117

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

the other answer is correct and simple (based on simply applying definitions and formulas).

to help you with understanding the background there are actually 2 direct ways to solve this.

trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.

so the first way is to imagine a circle with the center in point C and going through point A.

the radius of that circle is 40 (AC).

so, sin(C) × 40 = 24

cos(C) × 40 = 32

tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32

= 3/4

fit the second way imagine a circle with the center again in point C and going through point B.

the radius of that circle is 32 (BC).

here now tan(C) × 32 = 24 (AB).

yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.

so, to get the "pure" tan(C), we need to divide this length by the radius.

=> 24 / 32 = 3/4

Answer:

d)

#2

#3

Diagonals are perpendicular. Side length of the rhombus:

Perimeter:

Answer:

Step-by-step explanation:

surface area=(a+b+c)*h

=(5+5+6)*5

=16*5

=80 cm^2

Answer:

Spurious relationship

Step-by-step explanation:

A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables

Answer:

(6,7)

Step-by-step explanation:

The great thing about rectangles is that they are super simple.  For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left.  This maintains the parallel lines that define a rectangle.  So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)

Answer:

C

Step-by-step explanation:

C is the right one

9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

Question

Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?​

Answer:

Surface area, 440 in 3

Step-by-step explanation:

I just did this question on my assignment on Edge 2021

Step-by-step explanation:

surface area, 440 in.2

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

Angle E and D are supplementary and need to equal 170 when added together.

Angle D = 180-35 = 145

Angle D is split into two with part of it being 44

The missing angle is 145-44 = 101 degrees

The answer is 101

Answer:

c=12,564

m=1,047

Step-by-step explanation:

Answer:

Step-by-step explanation:

36/16=90/r(since they are similar use this ratio)

do cross multiplication

16*90=36*r

1440=36r

1440/36=r

40=r

Answer:

[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]

Answer:

267

Step-by-step explanation:

First, take 37 and multiply it by 7, which gives you 259. Next, add 8 to get your answer, 267.