Answer:
D
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex]
= π × 0.9² × [tex]\frac{8}{36}[/tex]
= 0.81π × [tex]\frac{2}{9}[/tex]
= 0.09π × 2
= 0.18π in² → D
Rearrange w= 3(2a + b) – 4 to make a the subject.
Answer:
a = (w - 3b + 4)/6
Step-by-step explanation:
w = 3(2a + b) - 4
w = 6a + 3b - 4
6a + 3b - 4 = w
6a = w - 3b + 4
a = (w - 3b + 4)/6
a reporter intends to survey a 150 people to estimate what percentage of the city population with support a law that raises the legal driving age from 16 to 18 years where should the reporter conduct his survey to obtain the best represent the entire city population
Answer:I know im problably late but, its the city's senior citizen center
Step-by-step explanation:
Which number sentence is true?
A. -6.1 + (-3.3) = -2.8
B. -6.1 + (-3.3) = 2.8
C. -6.1 + (-3.3) = 9.4
D. -6.1 + (-3.3) = -9.4
Answer is D!!!!
Answer:
Aaaaa
Step-by-step explanation:
sick
Solve the following inequality and show answer on number line: 5x > 60
Answer:
5x>60
x>60/5
x>12
number line
hope it helps.
Two trains are 1.5 miles apart, train a is traveling at 3/4 the speed of train b if they meet in 4 minutes how fast is each train going
Answer:
Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.
Step-by-step explanation:
Let suppose that train A begins in position [tex]x = 0\,mi[/tex] and the train B in position [tex]x = 1.5\,mi[/tex], if [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and both trains move at constant speed, then we have the following kinematic equations:
Train A
[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex] (1)
Train B
[tex]x_{B} = x_{B,o}-v_{B}\cdot t[/tex] (2)
If both trains meet each other, then [tex]x_{A} = x_{B}[/tex]. If we know that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 1.5\,mi[/tex], [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and [tex]t = \frac{1}{15}\,h[/tex], then we have the following expression:
[tex]x_{A,o}+v_{A}\cdot t = x_{B,o}-v_{B}\cdot t[/tex]
[tex]x_{A,o} + v_{A}\cdot t = x_{B,o} - \frac{3}{4}\cdot v_{A}\cdot t[/tex]
[tex]\frac{7}{4}\cdot v_{A}\cdot t = x_{B,o}-x_{A,o}[/tex]
[tex]v_{A} = \frac{4\cdot (x_{B,o}-x_{A,o})}{7\cdot t}[/tex]
[tex]v_{A} = 12.857\,\frac{mi}{h}[/tex]
Then, the speed of the train B is:
[tex]v_{B} = 9.643\,\frac{mi}{h}[/tex]
Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.
2. Find the area of a square if its side length is:
a. 3 inches
b. 40 inches
c. x units
Answer:
Lol
Step-by-step explanation:
Lol
Ronald has 5 2/3 cups of a smoothie he then drank 1 3/4 cups of the smoothie how many cups were left
Answer:
4 1/6 cups of the smoothie were left.
Step-by-step explanation:
The LCD here is (3)(4) = 12.
Thus, 5 2/3 cups equals 5 8/12 and 1 3/4 cups equals 1 6/12 cups.
Subtract 1 6/12 cups from the original 5 8/12 cups. We get:
5 8/12
-1 6/12
-----------
4 2/12, or 4 1/6.
4 1/6 cups of the smoothie were left.
Which set of rectangular coordinates describes the same location as the polar coordinates (3sqrt2 3pi/4)?
(A). (3,-3)
(B). (-3,3)
(C). (-3,-3)
(D). (-3sqrt2, 3sqrt2)
Answer:(-3,3)
Step-by-step explanation:
Two triangles are similar. The length of a side of one of the triangles is 4
times that of the corresponding side of the other. Determine the ratios of
the perimeters and the areas of the polygon.
Find the distance between the two points. (-5,5) (1,-2)
Answer:
The distance between the points is 9.219544457292887
Step-by-step explanation:
what is a pssible solution to the inequlaity x >15
Graph a circle with a center of (3,0) and a diameter of 10. Find the area of the circle both in terms of and to the nearest tenth. Use 3.14 for . Show all work.
Please help Please help
Which figure is a translation of Figure 1?
Figure A
Figure B
Figure C
None of the above
Simplify the polynomial by combining like terms.
14x^2+ 7x^2
A circle's circumference is approximately 44 cm. Complete each statement using one of these values: 7, 11, 14, 22, 88, 138, 154, 196, 380, 616.
Answer:
See solutions below
Step-by-step explanation:
Complete question
A circle's circumference is approximately 44 cm.
Complete each statement using one of these values: 7, 11, 14, 22, 88, 138, 154, 196, 380, 616.
The circle's diameter is approximately cm.
The circle's radius is approximately cm.
The circle's area is approximately cm2.
Circumference of the circle =2πr
r is the radius of the circle
Circumference of the circle = 2(3.14)r
44 = 2(3.14)r
22 = 3.14r
r = 22/3.14
r = 7.0cm
The circle's radius is approximately 7cm.
Since diameter = 2r
diameter = 2 * 76
diameter = 14cm
The circle's diameter is approximately 14cm.
Area of the circle = πr²
Area of the circle = 3.14(7)²
Area of the circle = 3.14(49)
Area of the circle = 153.86sq.cm
The circle's area is approximately 154cm^2.
I need answers/ help with 7 and 8
hope this helps you out good luck with your math
HELP ME IM STUCK ANSWER IT QUICK
Answer:
red = 28 apples
green = 13 apples
equations:
r + g = 41
r = g + 15
Step-by-step explanation:
r = number of red
g = number of green
r = g + 15 (the number of red apples is 15 more than the number of green apples)
r + g = 41
Substitute the firs equation into the second and solve for a numerical value of g
(g + 15) + g = 41
2g + 15 = 41
2g = 26
g = 13
Now solve for a numerical value of r
r = g + 15
r = 13 + 15
r = 28
checking the math:
r + g = 41
28 + 13 = 41
Please lmk if you have any questions.
point A (12, 6) and point B(8,4), find the distance between these two points
Make sure answer is correct and please explain answer no random websites, they will get reported
Answer:
-9 is the answer
Step-by-step explanation:
So we know that the temperature was 2 degrees Fahrenheit in the morning. It dropped by 11 degrees, meaning -11 degrees.
2 + (-11) = ?
2+ (-11) = -9
When he woke up, the temperature was -9 degrees.
Hope this helped :)
what is 1 x 1/6 pls help me
Answer:
its 1/6
Step-by-step explanation:
because every time we multiply something by 1 its always the same
Can someone help pleas I will mark as brainless
Answer:
No
Step-by-step explanation:
Star at -4
up 3 over 1 is (1,-1)
then (2,2)
then (3,5)
then (4,8)
then (5,11)
then (6,14)
in a class with 28 students, 18 learn English and 13 learn French. Some students learn both languages. What is the number of students learning both languages?
a) 2
b) 3
c) 4
d) 5
Answer:
3
Step-by-step explanation:
18 + 13 is 31.
31 is more than 28, and for the people who learn both languages(x), we can do 31-28 = x. 31-28 is 3, so the answer is B, or 3.
I need help on this one
Answer:
= 1/26
Step-by-step explanation:
Use Division Distributive Property:
(x/y)^a = x^a/y^a
(^, That means to the power of exponents.)
Then you Simplify 6^3 to 216
Then you will get 1 over 216.
Find the equation of the graphed line.
6
23
be
а. .
y = -x-4
C.
y=x+4
by=-x+4
d. y = x-4
Answer:
y = -x + 4
Step-by-step explanation:
Mathematically, the equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from the plot, the y intercept is 4
So we have;
y = mx + 4
To get the value of m, we substitute the coordinates of any point and solve for m
we select the point; (4,0)
so;
0 = m(4) + 4
4m = 0-4
4m = -4
m = -1
so the equation of the line is;
y = -x + 4
What happens to the value of the expression \dfrac{10}{d} d 10 start fraction, 10, divided by, d, end fraction as ddd increases from a small positive number to a large positive number?
Answer:
The quotient decreases
Step-by-step explanation:
Give the expression :
10 / d
What happens to the expression as d increases. from small positive to large positive ;
d in the expression is the denominator ;the value obtained by dividing the numerator by the denominator is the quotient.
Since the value of the numerator is constant ;
As the value of d increases, the quotient obtained becomes smaller `
For instance,
Let
d = 2;
10 /2 = 5
d = 3
10 / 3 = 3.333
d = 4
10 / 4 = 2.5
And the trend continues
Answer:
2.5 on khan
Step-by-step explanation:
Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?
Answer: 100
Step-by-step explanation: because I just got a 10/10
Hi, can someone help me with this question?
Answer:
hi
Step-by-step explanation:
firstly we must divide the shape like this
and the area of first rectangular is 27 m²( 9m × 3m)
then second rectangular's area is 48m²( 12m × 4m and we found 4m from 9-5)
the third rectangular's area is 10 m² ( we found it from 9-4)
Total is 27+48+10=85 m²
hope it helps
have a nice day
Anna lives in a house with a value of $150,000. She has a mortgage of $100,000. She owes $5,000 on her car, which is valued at $10,000. She has a credit card balance of $1,500. Anna also has $3,500 in a bank account. What is Anna's net worth?
Answer:
$57,000
Step-by-step explanation:
An experiment consists of rolling a number cube (dice). What is the probability of rolling a number GREATER THAN 4? Express your answer as a fraction in the simplest form.
Answer:
1/3
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur
Probability = Expected/Total outcome
Since the experiment requires rolling a dice
S = {1, 2, 3, 4, 5, 6}
Total outcome n(S) = 6
Number greater than 4 are;
Events E = {5,6}
Expected outcome n(E) = 2
Probability of rolling a number greater then 4 = 2/6
Probability of rolling a number greater then 4 = 1/3
Find the distance between the two points in simplest radical form.
(-5,6) and (-3,-1)
Answer:
√53
Step-by-step explanation:
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x1 = -5
x2 = -3
y1 = 6
y2 = - 1
Solution
d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )
d = sqrt( ( -3 + 5)^2 + (-7)^2 )
d = sqrt( 2^2 + 49)
d = sqrt(4 + 49)
d = sqrt(53)