Consider circle H below.
Y
If XY = 78 miles and mXY = 70°, then determine the radius of circle H.
Use 3.14 for pi and round your answer off to the nearest hundredths place if necessary. Type in the
number only; do not enter units.
Blank 1:
Answers
We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
[tex]\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}[/tex], where,
r = Radius of circle,
[tex]\theta[/tex] = Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.
[tex]78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}[/tex]
[tex]78=2\cdot 3.14\cdot r\cdot \frac{7}{36}[/tex]
[tex]78= 3.14\cdot r\cdot \frac{7}{18}[/tex]
[tex]78= r\cdot \frac{21.98}{18}[/tex]
[tex]r\cdot \frac{21.98}{18}=78[/tex]
[tex]r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}[/tex]
[tex]r=63.8762511373[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]r\approx 63.88[/tex]
Therefore, the radius of circle H is approximately 63.88 miles.
Related Questions
What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answers
Answer:
-2,5
Step-by-step explanation:
Find the value of x and y. WILL MARK BRAINLIEST
Answers
Answer:
x = 30
y = 15
Step-by-step explanation:
All the angles are 90°, so set 6y and 3x equal to 90, like so:
6y = 90
Divide both sides by 6:
y = 15
Solving for x:
3x = 90
Divide both sides by 3:
x = 30
Step-by-step explanation:
3) in parallelogram opposite angles are equal
6y=90
y=15
x=30
4)In parallelogram ,parallel sides are equal
x=7
y=4
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2
Answers
Answer:
Shift left 1 and down 2
Step-by-step explanation:
What is the answer to this?
Answers
Answer:
50 divided by 8 is 6.25 so unit rate is 6.25 per wands. The first one 4×6.25= 25 so it does not match the same price per wands, the second one 6×6.25=37.50 match up to the same price per wands, the third one 10×6.25=62.50 does not match up to the same price per wands.
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answers
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
https://brainly.com/question/14092461
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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(3x^2 + 8x + 7) (7x^2)
Answers
Answer:
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
Step-by-step explanation:
When we multiply the two sides together, we get:
(3x²·7x²) + (8x·7x²) + (7·7x²) =
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
This is the polynomial in standard form.
How many tenths is 0.4
Answers
0.4 has 4 tenths
Look at 0.4 as 0.40
Divide the 40 by 10 and get 4
-Hope this helped!
Answer:
The are 4 tenths in 0.4
Step-by-step explanation:
This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.
To work this out you would look at what place are the tenths and then look at the digit in the corresponding place
3/10
There is a group of tourists going to a museum. The group
consists of several adults and one child. A ticket for an adult
costs 10 dollars and one for a child costs 5 dollars. If the cost of
all tickets came to a total of $125, how many adults are there in
this group?
adults
Answers
Answer:
12 adults
Step-by-step explanation:
If a child ticket costs 5 dollars
then 125-5=120
120 divided by 10(the cost of each ticket for an adult)
12
So there are 12 adults
Answer:
12 adults
Step-by-step explanation:
125 - 5 = 120 (this is subtracting the child from the equation)
120 / 10 = 12
whats 9 plus 10 i need a answer soon its really hard
Answers
Answer:
19
:) BRAINLIEST
first here
Answer:
the answer is 19
Step-by-step explanation:
9+10=19
hope this helps, have a good day : )
what is the length of CD
Answers
Answer:
20 yds.
Step-by-step explanation:
From C to E 10 yds. so if you double that you get 20 yds.
Brainliest plz
determine the intercept of the line
Answers
Answer:
X intercept is (-8,0), Y intercept is (-6,0)
Step-by-step explanation:
The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).
Answer:
There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.
Step-by-step explanation:
PLEASE HELP MEE
Three lines meet at a point that is also the endpoint of a ray. In complete sentences, describe the relevant angle relationships in the diagram. Find the value of each variable in the diagram.
Answers
Answer:
I'm only going to find the value of each variable
Step-by-step explanation:
V,Z,W,Y=39
X=94
Sorry, I didn't know how to explain the relevant angle relationships. '-' :(
What are all the numbers congruent to #1?
Answers
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
ASAP. Look at the picture. Answer choices are: A) the spring has no stretch when a force of 1 pound is applied. B) the spring stretches a distance of 1 inch when a force of 0.73 pound is applied. C) the spring requires a force of 0.73 pound to stretch 0.73 inch. D) the spring has a length of 1 inch when no force is applied. E) the spring will stretch 1 inch for every pound of force applied. Please only answer if you are 100% correct. Have to get a good grade. Will Mark Brainliest
Answers
Answer:
D) the spring has a length of 1 inch when no force is applied
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answers
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter
Answers
Answer:
The Correct Answer Is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which statement is correct?
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less than
or equal to 0.
O The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answers
Answer:
The answer is D.
Step-by-step explanation:
You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.
The range of the graph is all real numbers.
Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.
Why are the range all real numbers?For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.
Learn more about the range here https://brainly.com/question/2264373
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2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Answers
what’s 10% of 120 please answer
Answers
Answer: this is the answer ---> 12 :)
Step-by-step explanation:
12
this is the correct answer
Find the area. Will mark brainliest.
Answers
Answer:
Area of shaded part of triangle
=(18*12/2)-(10*12/2)
48mm²
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answers
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.
Answers
Answer:
C=5n
Step-by-step explanation:
A linear function
Directly proportional
At which values of x does the graph of the function F(x) have a vertical asymptote? F(x)=x+2/x^2+2x-24 check all that apply.
A) X=6
B)X=2
C)X=-2
D)X=4
E)X=-6
F)X=-4
Answers
Answer: X=4 X=-6
Step-by-step explanation:
Answer:
Answer: x=4 and x=-6 hope it helps!
PLZ HELP ASAP BRAINLIEST: Find the value of Y
Answers
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
1 / 100
1 /12
11 / 100
12 / 100
Answers
Answer:
1/100
Step-by-step explanation:
The box contains 100 cards numbered from 1-100
Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.
Hope it helps!
Answer:
1/100
Step-by-step explanation:
The box contains 100 cards numbered from 1-100
Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.
Hope it helps!
Mike is grilling steaks for dinner. The grilling surface is shown below. Each steak requires approximately 0.25 square feet of the grill's surface. What is the maximum number of steaks that Mike can grill at the same time? 2.5 feet 2 feet 3.5 feet
Answers
Answer: 32 steaks
Step-by-step explanation:
Given data:
Each steak surface requirement = 0.25 square feet of the grill.
Maximum number of steaks mike can grill at
2.5 feet
2 feet and
3.5 feet
Solution.
At 2.5 feet
= 2.5 / 0.25
= 10 steaks
At 2 feet
= 2 / 0.25
= 8 steaks
At 3.5 feet
= 3.5 / 0.25
= 14 steaks
Total number of steaks
= 10 + 8 + 14
= 32 steaks
what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK
Answers
Answer:
To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
Step-by-step explanation:
Answer:
For a rectangle, you get the length and width and multiply them
For a Square, you have to find one side length and mulitply it by itself
or you can split the square with a diagonal into 2 triangles, get the area of each and add them up
or split the square in half and find the area of both rectangles and then add them together
Step-by-step explanation:
For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
3[x+4)
2[x+8)+x
4(x-3) -
03(x+1)+9x
Answers
Answer:
A. 3(x + 4)
Step-by-step explanation:
All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.
The equation given is:
3(x + 1) + 9 = 0
Expanding the left hand side and factorising:
3x + 3 + 9
=> 3x + 12
=> 3(x + 4)
Therefore, the expression that can be written on the other side is 3(x + 4)
Answer:
C
Step-by-step explanation:
just finished it on edge and got a 100 :)
Sara says, "If you subtract 15 from my number and multiply the difference by negative 4, the result is negative 48." What is Sara's number?
Answers
Answer:
I'm not 100% sure but I believe the answer is 27
because -48/-4=12
12+15=27
Answer:
Write the equation and go backwards.
N - 15 x -4 = -48
Instead of multiply divide and add instead of subtract
-48/-4=12
12+15=27
check if 27 is correct. 27-15=12 x -4 = -48
27 is your number. Hope this helps
Step-by-step explanation:
Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth. the radius is 1
Answers
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
The radius is 1
Volume = [tex]\frac{4}{3} \pi[/tex] or 4.19
Step-by-step explanation:
Given
Radius, r = 1
Required
Find the volume of sphere
Volume of a sphere is calculated using the following formula
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V = Volume and r = radius
By Substitution,
[tex]V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi[/tex]
Solving further to get the numerical value of volume;
We have to substitute 3.14 for π
[tex]V = \frac{4}{3} * 3.14V = 4.1866[/tex]
V = 4.19 to the nearest hundredth
Answer:
4.19
Step-by-step explanation:
