The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
Angle
When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.
How to find a true statement about measuring the angle from the given statements?Let us discuss all four options.
The measure of a whole circle is [tex]360^{o}[/tex]
(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.
(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.
(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]
That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.
Therefore, option (C) is correct.
Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.
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Pam read 126 pages of her summer reading book in 3 hours. Zac read a 180 pages of his sunday reading book in 4 hours. If they continue to read at the same speeds, will they both finish the 215 page book after 5 total hours of reading. explain
Answer:
yes they both will because in four they both read more then half the book and one more hours should let them finshed the book
Step-by-step explanation:
Answer:
Zack is able to, but Pam cannot.
Step-by-step explanation:
Number of pages Pam read in 5 hours = 5 x 42 = 210 pages
Number of pages Zack read in 5 hours = 5 x 45 = 225 pages
Zack's pages is greater than 215 while Pam isn't able to read as much.
katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps from rest of the world
Answer:
90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World
Step-by-step explanation:
Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...
1.5 <=====> 135 stamps
1.2 <=====> x stamps (United States)
(1.2 * 135) / 1.5 = 108 stamps (United States)
1.5 <=====> 135 stamps
1 <=====> x stamps (Canada)
(1 * 135) / 1.5 = 90 stamps (Canada)
Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5
Valerie earns $12.20 per hour. If she worked for 7.75 hours yesterday, how much did she earn? $94.55 $94.65 $945.50 $946.50 ASAP PLEEEEEAAAAASE!!!!
find the opposite of the opposite of each integer. -8
Step-by-step explanation:
8 will be the answer might be
Why is looking at cash flow an important step in a good financial plan?
Answer:
Cash flow refers to the constant movement of money, both where and how much you're spending as well as how much you're earning in return.
Step-by-step explanation:
what percent of 15 is 5
Answer: 33%
Step-by-step explanation: 5/15 simplifies to 1/3 which is 33%
Answer:
33.333333333..... %
Step-by-step explanation:
(5/15)*100
The base of a cone shaped glass is 12 inches and it is 18 inches tall. You
fill the glass with soda pop to the top of the glass. What is the volume of
soda pop
Answer:
Step-by-step expla
To find the volume of a cone, use the equation: V = 1/3Bh.
In this equation, V is the volume, B is the base, and h is the height.
We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.
V = 1/3(12)(18)
V = 4(18)
V = 72.0
Therefore, the volume of this glass is 72.0 cubic inches.
please helppppppppppp
Answer:
103 degrees
Step-by-step explanation:
180 - 77 = 103
a milk truck delivers 466 dozen gallons of milk to store in 1 day.
Answer:
whats the question? I don't see one to be abel to answer you
Convert 25°C to Fahrenheit. Use the formula F = (1.8)C + 32°.
58.8°F
102.6°F
77°F
52°F
plz help
Answer:
77 F
Step-by-step explanation:
F = (1.8)*25 + 32
= 45+32
= 77
Hope this helps!
Answer:
77 degrees Fahrenheit
Step-by-step explanation:
plug 25 into 'C' in the formula
F = 1.8(25) + 32
Enter the midpoint of the segment whose endpoints are (2,9) and (-8, 14).
Jim rides his bike 4 miles in 30 minutes. If he maintains this rate, how far will he ride in 3 hours? 60 minutes = 1 hour
After how many years will Mr.Rodriguez have increased his original investment by more than 50%? Explain your reasoning
Answer:
elaborate, this is vague
Step-by-step explanation:
help me please i really need help!
Answer:
51.3°
Step-by-step explanation:
tan y = 10/8 = 1.25
y = 51.3°
What is 450.012 to the nearest hundredth
Answer:
450.01
Step-by-step explanation:
Hurricane Katrina dropped about 14 inches of rain over a 48 hour period. How much rain is this per hour?
Answer:
Step-by-step explanation:
please help if you think you hot beautiful kind funny cool please help me please
Answer/Step-by-step explanation:
The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.
This is what I mean:
Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):
For the first point, substitute x = -2, and y = -9 into y = 2x - 5.
Thus:
-9 = 2(-2) - 5
-9 = -4 - 5
-9 = -9 (this is true). It means the line runs through the point (-2, -9)
For the second point, substitute x = 3, and y = 1 into y = 2x - 5
This:
1 = 2(3) - 5
1 = 6 - 5
1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.
Determine any data values that are missing from the table, assuming that the data represent a linear function.
X
ly
1
2
12
16
4
a.
2
10
b.
C. 14
d. 16
Answer:
Fill in the blank with 14
Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 2}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m=4[/tex]
The equation of the table is calculated next as:
[tex]y - y_1 = m(x - x_1)[/tex]
This becomes
[tex]y - 2 = 4(x - 1)[/tex]
[tex]y - 2 = 4x - 4[/tex]
Solve for y
[tex]y = 4x - 4+2[/tex]
[tex]y = 4x -2[/tex]
To fill in the blank;
The value of x is 4
So, substitute 4 for x in [tex]y = 4x -2[/tex]
[tex]y = 4 * 4 - 2[/tex]
[tex]y = 16 - 2[/tex]
[tex]y = 14[/tex]
multiply y by 9, then divide 10 by the result
Answer:
10/(9y)
Step-by-step explanation:
multiply y by 9: 9y
then divide 10 by the result: 10/(9y)
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10
1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)
Answer:
(6, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
1/2y = 4
x - 1/2y = 2
Step 2: Solve for y
Define equation: 1/2y = 4Isolate y: y = 8Step 3: Solve for x
Define equation: x - 1/2y = 2Substitute in y: x - 1/2(8) = 2Multiply: x - 4 = 2Isolate x: x = 6Answer: (6,8)
Step-by-step explanation:
1/2y = 4
x - 1/2y = 2
First solve for y in the first equation.
1/2y = 4 Divide both sides by 1/2
y = 8
NOw substitute the value of y into the second equation and solve for x.
x
x - 1/2(8) = 2
x - 4 = 2
+4 +4
x = 6
THis makes the solution (6,8)
IF YOU HELP ILL GIVE 100 POINTS AND BRAINLIEST! PLEASE HELP!!Which expression is equivalent to 4(23)?
4(2+13)
4(20+30)
4(2+3)
4(20+3)
Answer:
4(20+3)
Step-by-step explanation:
4(2+13) = 4(15)
4(20+30) = 4(50)
4(2+3) = 4(5)
4(20+3) = 4(23)
Therefore, 4(20+3) is the answer since it's equivalent to 4(23).
Answer:
............................................4(20+3)
If the value of a in the quadratic function f(x) = ax^2+bx+c is 1/2 the function will:
lessen it data
and it will become a bigger eqaution
Answer:
open down and have a maximum
Step-by-step explanation:
I took the quiz got it right
Find the simple interest.
Principal:$6000
Interest Rates: 5%
Time: 6 months
Is it $1500 or $150?
Answer:
Given,
P = ₹5,000
R = 5%
T = 6 months
= 1/2 years
S.I = P×R×T/100
= 5,000 × 5 / 2×100
= 250 / 2
= ₹125
Step-by-step explanation:
The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the total amount be Principal P = $ 6000
Let the interest rate be R = 5 %
Let the number of periods be T = 6 months
So , the value of T = 1/2
Now , the simple interest is given by the formula
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest = ( 6000 x 5 x ( 1 / 2 ) ) / 100
Simple Interest = ( 60 x 5 ) / 2
Simple Interest = $ 150
Therefore , the value of simple interest is $ 150
Hence , The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150
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PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
Which systems of equations have infinite solutions?
2x + 5y = 31
6x - y = 13
2x + y = 10
-6x = 3y + 7
y = 14 - 2x
6x + 3y = 42
y = 13 - 2x
4x - 3y = -19
2x + y = 14
x = 13-2y
2x + y = 17
-6x = 3y - 51
Reset
Next
Answer:
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.
In the above answer, if you multiply the above by -3 you get:
-6x -3y = -51
which is of course -6x = 3y - 51
So that is an example of a pair that has infinite solutions.
To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!
Which equation is equivalent to y=2/3x-6
A.2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18
There are 18 girls in mr. Brimley’s math class. If 60% of the students are girls, how many students are in mr. brimley’s math class?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $2000 in the account in 10 years? Assume the account earns 2% interest compounded monthly
Step-by-step explanation:
A(t) = amount in t years
P = Principal (original investment)
r = annual interest rate (in decimal form)
n = number of times that interest is compounded each year
A(t) = P(1 + r/n)nt
Substitute in the given values: 2000 = P(1 + 0.04/12)12(10)
2000 = P(1.490832682)
P = $1341.53
Sam ran two-fifths of a mile each day for 4 days. How far did he run after the 4 days?
What is 8/25 as a decimal representation and as a percent representation please answer thank you
Answer:
decimal: 0.32 percent: 32%
Step-by-step explanation: