A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.
Answer:
The measure of the center angle is 0.6 radians
Step-by-step explanation:
Mathematically, the length of an arc can be calculated using;
L = theta/360 * 2 * pi * r
where theta is the central angle
In this case, theta = ? , pi = 22/7 and r is 13
cm, length of arc is 8 cm
So we have ;
8 = theta/360 * 2 * pi * 13
360 * 7 * 8 = theta * 2 * 22 * 13
20,160 = 572 theta
theta = 20,160/572
theta = 35.24
let us convert this to radian measure
Mathematically, 1 degree = 0.0175 radian
Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians
To the nearest tenth, this is 0.6 radians
8. Robert has $50 000 in the bank. Belinda has $5 000. Compare how much money they
have using (a) subtraction and (b) division. Write your answers as sentences.
.
On a farm a worker takes 15 minutes to pack 162 eggs into 9 cartons. How many eaggs are in each carton?
Answer: 18 eggs in one carton
Step-by-step explanation:
Basically, the 15 minutes is irrelevant to solve this problem so don’t worry about it. All you have to do to solve this is doing 162/9 to get 18.
How do I solve this problem?
Answer:
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zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks
Answer:
The wording of this question was really confusing, but I believe the answer is 166 dollars.
Step-by-step explanation:
$220+ $98= $318
650-318=332
332/2=166
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
8mn5 – 2m6 + 5m2n4 – m3n3 + n6 – 4m6 + 9m2n4 – mn5 – 4m3n3
a. n6 + 7mn5 + 14m2n4 – 5m3n3 – 6m6
b. –2m6 – 5m3n3 + 14m2n4 + 7mn5 + n6
c. 14m2n4 + 7mn5 – 6m6 – 5m3n3 + n6
d. n6 – 6m6 + 7mn5 + 14m2n4 – 5m3n3
Answer:
c
Step-by-step explanation:
Find the product of 3 1/5 and 5/8. Express your answer in simplest form
Answer:
8 4/5
Step-by-step explanation:
Answer:
this is the answer i hope it helps you 3 33/40
A train traveled at an average speed of 45 miles per hour for 40 minutes, and at an average speed of 60 miles per hour for 1 hour. What was the average speed of the train, in miles per hour, for the trip?
a.) 50, b.) 52.5, c.) 54, d.) 57,5, e.) 60
Answer:
c
Step-by-step explanation:
Why do plants provide animals with fruits such as strawberries, apples, and mangoes?
Answer:
For seed transfer. If an animal gathers fruit and eats it or just carries it away for later consumption, it will move the seed further away from the parent plant. That way, the new plants do not take from the parent plant's resources.
Carla rode her bike30 miles in 2 1/2hours.
Answer:
12 m/s
Step-by-step explanation:
Speed= disntance/time
30/2.5= 12m/s
Borrowers choosing an adjustable-rate mortgage
pay a higher interest rate during the first few years.
are often forced to sell their homes after the first year.
often pay a lower interest rate during the first few years.
agree to accept no risk when borrowing money.
Answer:
Often pay a lower interest rate during the first few years
Step-by-step explanation:
Option c on edge. 2020
Answer:
C
Step-by-step explanation:
At the time this question was written, one US Dollar equaled 0.88 Euros. What would 50 Euros equal in US Dollars? Round your answer to the nearest cent.
Answer:
$56.82 US dollars
Step-by-step explanation:
Set up a proportion where x is how many US dollars there are in 50 Euros:
[tex]\frac{1}{0.88}[/tex] = [tex]\frac{x}{50}[/tex]
Cross multiply and solve for x:
0.88x = 50
x = 56.82
So, 50 Euros is approximately equal to $56.82 US dollars
An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal.
What is the slope of the line that passes through 9,5 and 4,5
Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
Answer:
(5,0
Step-by-step explanation:
Eight friends share 12 pounds of
gold coins equally. How many
pounds of coins does each friend
get?
N
Answer: each person would get 1.5 pounds of gold
Step-by-step explanation:
12/8= 1.5
Answer:
1.5 pounds of gold
Step-by-step explanation:
You just do 12÷8 which gives you 1.5
Hope this helped!
Pls help ASAP WILL GIVE BRAINEST :/
Step-by-step explanation:
b=1 the person above or below me has the explanation
Please help due in 10 min.
Answer:
A: equiangular S: Right
Step-by-step explanation:
Anjelica is using synthetic division to divide 2x3−9x2−21x+10 by x+2 .
Which answer is correct?
Answer:
B I the answer I just did the same question
Anjelica is using synthetic division to divide
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Steps given in option B are correct
Given :
Divide the given expression
[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]
Apply synthetic division
In synthetic division , we write all the coefficient inside the division
then solve the denominator for x and write it outside
[tex]x+2=0\\x=-2[/tex]
so we write -2 outside the division sign
Take down first number 2 as it is . Then multiply with -2 and put it below the second number . Add it and write it down . Continue the process.
-2 2 -9 -21 10
0 -4 26 -10
--------------------------------------------
2 -13 5 0
the steps given in option B are correct
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Find the length x of QR
Answer:
4.5
Step-by-step explanation:
If they are symilar their sides are in proportion so write the proportion
[tex]\frac{x}{5} =\frac{2.7}{3}[/tex] you can pick any other 2 sides as long as you take them in the same order
x= 5*2.7/3=4.5
Savannah buys a $40 gift card to her favorite smoothie shop. Each smoothie costs $4. She wants to have at least $10 left on her card at the end of this month. The inequality below relates x, the number of smoothies she could buy between now and the end of this month with her gift card balance. 40 minus 4 x greater-than-or-equal-to 10 Which best describes the number of smoothies Savannah can buy?
Answer:
3 smothies
Step-by-step explanation:
40-10=30$
30÷4=7and she is left with 2 dollar extras
What is the slope of the line that passes through the points (-8, 6) and (-5, -3)
Answer: slope is -3
Step-by-step explanation:
Simple, plain, easy
The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.
Answer:
[tex]180.4~cm^2[/tex]
Step-by-step explanation:
Surface Area
The surface area of a cylinder of height h and radius r is given by:
[tex]A=2\pi rh[/tex]
It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:
[tex]A=2\pi rh+2\pi r^2[/tex]
The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.
Now we calculate the side area of the can:
[tex]A=2\pi (3.25)(8.5)[/tex]
[tex]A=173.6~cm^2[/tex]
We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:
[tex]A_o= 0.8*8.5=6.8~cm^2[/tex]
The total area of the label is:
[tex]A=173.6~cm^2+6.8~cm^2=180.4~cm^2[/tex]
The area of the label is [tex]\mathbf{180.4~cm^2}[/tex]
8 more than the quotient of a number and 2 is 14. find the number
Answer:
x = 12
Step-by-step explanation:
x/2 + 8 = 14Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6Multiply both sides by 12 because it is the inverse operation of division. x = 12a grid of a hundred square show 7 shaded squares what decimal number is represented
Answer:
0.07
Step-by-step explanation:
From the question, a given grid was divided into a definite number of squares with some of the squares shaded.
Total number of squares in the grid = 100
number of shaded squares in the grid = 7
Thus, 7 squares are shaded out of 100 square in the grid.
So that this can be expressed in fraction as;
[tex]\frac{number of shaded squares}{total number of squares}[/tex] = [tex]\frac{7}{100}[/tex]
= 0.07
The decimal number of the squares represented is 0.07.
3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2
Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2
To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
Answer:
37.68
Step-by-step explanation:
c = 2 x 3.14 x 6
5. €1575 was shared among three people in the ratio 1:2:1/2
Calculate the smallest share.
Answer:
€225
Step-by-step explanation:
Given that:
1575 shared in the ratio 1 : 2 : 1/2
Total sum of ratio = (1 + 2 + 1/2) = 3 1/2
Ratio 1 amount :
(1 / 3.5) * 1575 = 450
Ratio 2 amount :
(2 / 3.5) * 1575 = 900
Ratio 1/2 amount :
(1/2 ÷ 3.5) * 1575 = 225
Smallest share = $225
if matt's average speed was 8 km/hr how far did he travel in 15 minutes
Answer:
2km
Step-by-step explanation:
8km/h×15minutes÷60minutes=2km
Triangles have a total of 180°. Use the triangle below to determine the value of X.
Answer:
3x=105
x=35
Step-by-step explanation:
40+3x+x = 180 (Angle sum property)
40 +4x=180
4x = 180-40
140
x = 140/4
=35
3x = 35 x 3
105
x = 35
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