Answers
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]
Therefore, we get;
[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]
[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
Related Questions
please help me with this angle question :)
Answers
Answer:
its an acute angle
Step-by-step explanation:
its an acute angle be cause its small than a right angle
Answer:
angle AED = 70 degrees
angle x = 10 degrees
Step-by-step explanation:
since angle ABD = 110 degrees, major arc AED = 2(110) = 220 degrees
since angle ADB = 40 degrees, minor arc AB = 2(40) = 80 degrees
minor arc BD = 360 - 220 - 80 = 60 degrees
arc AB + arc BD = arc ABD
arc ABD = 80 + 60 = 140 degrees
angle AED = 1/2 (140) = 70 degrees
angle EAD = angle AED because isosceles
arc ED = 2(70) = 140 degrees
arc AE = arc AED - arc ED = 80 degrees
angle x = 1/2(arc AE - arc BD) = 1/2(80 -60) = 10 degrees
Please help thank youuuuu.
Answers
A butcher has 15 and 3/4 pounds of steaks and portions them into 7 sealed packs. How many pounds does each pack of steak weigh? *
Answers
Answer:
9/4 or 2 and 1/4 pounds
Step-by-step explanation:
Convert 15 and 3/4 into an improper fraction
15*4+3 = 63
63/4
63/4 ÷ 7
9/4
Thus, each pack weighs 9/4 pounds
Answer:
2 1/4 pounds each
Step-by-step explanation:
Convert 15 1/4 into a decimal (15.75) then divide by seven (15.75 ÷ 7 = 2.25)
and then convert 2.25 back into a fraction, 25 is 1/4 of 100 so the answer is 2 1/4
When xb= 12, y = 8. Find x when y = 12
Answers
Answer:
If it is direct proportionality, then y = kx where k is a constant. Use the given information to find k:
8 = k(12) ⇒ k = 8/12 = 2/3
y = (2/3) x
For y = 12,
12 = (2/3) x ⇒ x = (3/2)*12 = 18
x = 18 when y = 12
I hope this helps a little bit.
A pyramid and a cone are both 10 centimeters tall and have the same
volume. What statement must be true about the two solids?
A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area,
B. The area of the cross-sections of the pyramid and cone are
multiples of each other,
C. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area
D. The cross-sections of the pyramid and cone are the same shape
Answers
9514 1404 393
Answer:
C. The horizontal cross-sections of the pyramid and cone at the same height must have the same area
Step-by-step explanation:
Cavalieri's principle says that solids with corresponding cross sections of the same area will have the same volume. Statement C is the converse of this principle.
Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length.
Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
A side of the triangle must be shorter than the sum of the remaining two sides.
He cannot make a triangle with 3, 4, and 8.
surface area of 8x11
Answers
Answer:
88
Please mark branliest!
Answer:
50 square inches
Step-by-step explanation:
PLEASE HELP I'LL GIVE THE BRAINLEST
Select the correct answer. Which line is the line of best fit for this scatter plot?
Answers
Answer:
D
Step-by-step explanation:
Hope it helps but I’m guessing
Pls help me with this work
Answers
Answer:
They are similar because they both have like terms in parenthesis.
Step-by-step explanation:
As long as you have like terms, the equation is the same. You never have to worry about the number before the variable being the same. As long as the variable is the same, you have like terms and that is like terms in the equation. TO SUM IT UP: They both have like terms and that is why they are similar.
C divided by 5 ? please i need help
Answers
Answer:
0.2 coulombs is the answer
If you help, i give brainliest!
Answers
Answer:
m<E = [tex]77^{o}[/tex]
Step-by-step explanation:
From the diagram, ΔACE and ΔBDE are similar. So that comparing its angles, we have;
(8x + 4) = (9x - 5)
8x + 4 = 9x - 5
5 + 4 = 9x - 8x
x = 9
Thus,
(8x + 4) = 8(9) + 4 = 76
(9x - 5) = 9(9) - 5 = 76
3x = 3(9) = 27
From ΔACE,
3x + (8x + 4) + m<E = 180 (sum of angles in a triangle)
27 + 76 + m<E = 180
m<E = 180 - 103
m<E = [tex]77^{o}[/tex]
PLS HELP ME I BEG I WILL MARK YOU BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Scale factor = 1 : 7
a)Let the length of the house in the scale drawing = x
1:7 :: x : 21
Product of means = Product of extremes
7*x = 1* 21
x = [tex]\frac{1*21}{7}[/tex]
x = 3
Length of the house in the scale drawing = 3 in
b) Height of the real house =y
1 : 7 :: 4 : y
Product of extremes = product of means
1 * y = 7*4
y = 7*4
y = 28
Height of real house = 28 feet
Explain the difference between the translation of y=x² for the graphs of y=(x+3)² and y=x²+3.
Answers
Answer:
y=(x+3)^2 has a vertex at (-3,0), while y=x^2 + 3 has a vertex at (0,3)
Mark me brainliest hope this helps
Step-by-step explanation:
4.) Solve the proportion.
2
9
II
3 k + 1
Answers
Answer:
b
Step-by-step explanation:
Sorry if its wrong I hope I helped!!!!
Lana wants to graph the height of an amusement park ride as it travels along the track.
A. The ride begins by climbing slowly up a hill.
B. It moves straight along a flat piece of track.
C. The ride glides quickly downhill.
D. It slowly climbs another hill.
Drag a segment to each box to show the shape of the graph for that interval.
Answers
Answer:
I can’t do this for you, you have to drag the segments into the boxes. The fifth over is A. then you do the first line segment. Then the third. for D you do the fifth over
Step-by-step explanation:
2) What is the slope in the equation y=2x + 3?
Answers
Answer:
2
Step-by-step explanation:
y = mx + b
y = 2x + 3
m is the slope. So of we look in the equation 2 is in the m place so 2 is the slope. Hope this helps, thank you :) !!
Your friend deposits $8500 in an investment account that earns 2.8% annual interest. What is the balance after 8 years when the interest is compounded quarterly? 1
Answers
I believe the balance would be $10,601.42
Hopefully that is the right answer
7[tex]\frac{2}3} -5[/tex]
Answers
the correct answer would be.. 1 8/15.
On Monday you read 3 pages.
Tuesday, 3 times that number on Monday,
Wednesday is 3 times the number on Tuesday.
How many pages do you read on Wednesday? (Hint: 38)
pages
Answers
Answer:
27 pages
Step-by-step explanation:
Since you read 3 pages on Monday and you read 3 times that number on Tuesday, the equation should be 3*3 to equal 9. Then, since you read 9 pages on Tuesday and 3 times that number on Wednesday, the equation should be 9*3 to equal 27 pages. So, on Wednesday, you read 27 pages in total.
Answer:
27 pages
Step-by-step explanation:
Monday=3 pages
Tuesday=3 pages × 3
=9 pages
Wednesday=9 pages × 3
=27 pages
hope it helps!!!
3x2 - 5x + 2
5x² – x-6
Which of the following is the sum of the two
polynomials shown above?
A) 8x2 - 7x - 4
B) 8x² + 7x - 4
C) 8x - 7x² - 4
D) 8x4+ 7x2 - 4
Answers
Answer:
This qn is mistake i think so while addind this 2 eqn the ans is 8x2-6x-4
Can u guys help me please
1. What % of 240 is 60?
2. .90 is what percent of 120?
3. 24 is 96% of what number?
Answers
2.) 75%
3.) 25
who is This Help me
Answers
Please help and explain
Answers
Answer:
$498.75
Step-by-step explanation:
Why it would be $498.75 is 500 - 25 is 475 then if you do 5% of 475 you get 23.75 and you will add that to the 475 and you will get $498.75.
Explica con tus palabras el significado de lim f(x)=7
Answers
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
(
-
∞
,
∞
)
,
{
x
|
x
∈
ℝ
}
Range:
{
y
|
y
=
7
}
how do I change 2y = 3x + 8 into slope-intercept form?
Answers
Divide both sides of the equation by 2
Remove the parenthesis
Rewrite it as y=3/2x+4
What is 10x-5y+2x-3y=
Answers
Answer: 12x-8y
Step-by-step explanation:
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
Answers
1. Girl Scout Troop 321 started with 25 girls and at the end of the year party there were 31 girls. Gabby
shows her work below to find the percent of change for her troop.
31-25
31
6
31
0.1935
Gabby figures that her troop increased by about 19.4%
Describe and then correct the error Gabby made in finding the percent of change.
Pick what Gabby did wrong.
The real percent of change is:
Answers
Answer: 24%
Step-by-step explanation:
Since we are informed that the Girl Scout Troop started with 25 girls and at the end of the year party there were 31 girls. The percentage change will be:
= (31 - 25) / 25 × 100
= 6/25 × 100
= 24%
The error that Gabby made was that she used 31 as the base. This is expressed below:
= 31 - 25) / 31 × 100
= 6/31 × 100
= 19.4%
I need a lot of help please answer right !
Answers
Answer:
$16
Step-by-step explanation:
Answer:
Estimate: $16
Exact amount: $15.98
Step-by-step explanation:
To find the estimate amount of money she has left, we will add everything up and subtract it from $45.12.
$7.89 + $21.25 = $29.14
$45.12 - $29.14 = 15.98
Now lets round your answer to $16. Therefore, the estimated amount that she has left is $16. And based on the calculations above, we can see that the exact amount of money she has left is $15.98.
2. What is 9 squared.
a. 3
b. 81
C. 18
O d. 11
Answers
Answer:
81
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
9 squared is 81
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