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)
Answers
Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
Related Questions
Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?
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Answer:
c=12,564
m=1,047
Step-by-step explanation:
help please its math i really need help
Answers
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
Someone please help me out!!
Answers
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
A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?
Answers
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
Which angles are supplementary to∠4? Select all that apply.
Answers
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
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Answers
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
Simplify this expression.
(2+3)65-7
Answers
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
Evan wants to make a kneeling pad cushion for when he gardens for long periods of time. It will have the dimensions shown. How much fabric should he buy to cover the cushion?
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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
5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
Answers
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 )
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O
Answers
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
HELLPPPP!!!!!!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year.
How many helmets did the company sell in their first year?
Answers
Answer:
1,260 helmets
Step-by-step explanation:
100/225 × 2,835 = 1,260
what is
√117^2
Please help schools almost over and i need major help
Answers
Answer:
117
Step-by-step explanation:
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
please mark me as brainlest
How do you solve this?
Answers
Answer:
C
Step-by-step explanation:
C is the right one
pls help me , i need this
Answers
please solve and find the value of x.
Answers
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
Help plz..And No links!! I repeat No links!!
Answers
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]
PLEASE HELP ID APPRECIATE IT
Answers
Answer:
94281 km +- 1 km
572.2 km +- 0.1 km
A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi
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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.
What is Volume?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
#SPJ3
Just help me please don’t ignore me
Answers
Answer:
See https://brainly.com/question/23882263 for A and B parts of the first questiond)
[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]#2
[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]#3
Diagonals are perpendicular. Side length of the rhombus:
[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]Perimeter:
P = 4a = 4(5) = 20how do i find the unit rate?
Answers
Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.
Answers
Answer:
Step-by-step explanation:
Three vertices of a rectangle are shown on the grid. I NEED HELP PLEASE
Answers
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)
simply the complex numbers: (2 + 5i)(1 – 3i)
Answers
Answer:
17 just multiply the like dot product of vectors
HELP: What is the surface area?
Answers
Answer:
Step-by-step explanation:
surface area=(a+b+c)*h
=(5+5+6)*5
=16*5
=80 cm^2
There are 7 buses, and each of these buses is taking 37 people to a game. Another bus is taking 8 people. How many people are these buses taking to the game?
Answers
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.
What is Median?
I'm not going to be online for 3 weeks. No need to worry about me, okay :) <3 <3
Answers
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.
pls help im so bad at math
Answers
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
Solve for x. Round to the nearest tenth of a degree, if necessary.
K
J
17
28
21-0
Submit Answer
Answer: 0
Answers
Answer:
52.6°
Step-by-step explanation:
cos(theta)= adj/hyp
hyp=28
adj=17
Either enter an exact answer in terms of π or use 3.14, for π and enter your answer as a decimal?
Answers
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
f the relationship between the independent and dependent variables is discovered to be false after another (third) variable is considered, that relationship between the independent and dependent variables is called
Answers
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