x = hours worked
x ≤ 25
boom. done.
A sector of a circle has an arc length of π cm and a central angle of π6 radians. What is the area of the sector?
A. 5π cm²
B. 2π cm²
C. 3π cm²
D. π cm²
Answer:
C
Step-by-step explanation:
The Area of sector is π cm². so option D is correct.
How to find the area of a sector of a circle?The sector of a circle is like a slice of a circular pizza.
[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]
Mathematically π radians = 180 degrees
thus, π /6 radians = 180/6 = 30 degrees
The formula for the length of an arc is;
Ф/360 x 2πr
where Ф, is 30 degrees
And the arc length is pi
so we have
30/360 x 2πr = π
30/360 x 2r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
Ф/360 x πr^2
30/360 x π36
= π cm^2
Learn more about area;
https://brainly.com/question/24218236
#SPJ2
Help! Please I’m not sure what to do I forgot
Answer:
∠ B = 54°
Step-by-step explanation:
Supplementary angles sum to 180°, so
7x + 7 + 4x - 14 = 180
11x - 7 = 180 ( add 7 to both sides )
11x = 187 ( divide both sides by 11 )
x = 17
Then
∠ B = 4x - 14 = 4(17) - 14 = 68 - 14 = 54°
Janelle bought a beach chair on sale at 60% off. The original price was $44.95. What was the amount of the beach chair?
Answer:
the answer is $17.98
Step-by-step explanation:
....
I did not pay attention to the class- so can someone explain how to do dis type of problem- and the answers-
A.50
B.100
C.40
D.180
E.45
F.130
G.155
H.90
I.135
Answer:
F. 130
hope this helped :)
Answer:
F. 130
Step-by-step explanation:
Since you have a 180-degree angle, you can subtract it by 50. replace <2 by x
so, 50 + x = 180
180 - 50 = 130
The answer is 130 degree angle.
hope this helps and is right :)
When 3x^2+ 18x - 21 = 0 is written in the form (x - p)^2= q, what is the value of q?
Answer:
16
Step-by-step explanation:
Just had the question
Melissa invests $700 at 4% simple interest per year. How much interest will she earn in 3
years?
Answer:
Step-by-step explanation:
700(.04)(3)= $84
Use the net to find the surface area of the regular pyramid.
Answer:
40 in²
Step-by-step explanation:
There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².
4(base) x 3(height) ÷ 2 = 6
Multiply 6 by 4 because there are four triangles, which is 24.
Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.
4 x 4 = 16
If you add 16 and 24 together, that's your answer.
Answer:
40
(its right i did this)
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
B looks good
What are the values of x and y if you answer is not a whole number write it as a decimal and round if neccasasry
a) 3x + 5y = 26
b) 2x + 2y = 12
First, we need to find a way to equate either the x terms or the y terms in each equation. a) 6x + 10y = 52
b) 6x + 6y = 36
Then take equation b) from the equation a) to eliminate the x component.
a) 6x + 10y = 52
- b) 6x + 6y = 36
0x + 4y = 16
y = 4 ?
Then substitute the value of y into either equation to find the value of x.
b) 2x + 2y = 12
2x + (2x4) =12
2x + 8 = 12
2x = 4
x = 2
I hope this new information i read helps you maybe understand it and as an example!
Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.
Answer:
The answer is already in the correct formation, there is nothing to change.
Answer:
the person above is right.
what is an equation of the line that passes through the points (4, -1) and (8, -7)
Answer:
y=5-2x
Step-by-step explanation:
A parabola opening up or down has vertex (0, -6) and passes through (4, -4). Write its
equation in vertex form.
Answer:
Step-by-step explanation:
0,6
Answer:
the answer would be 0,6 because the the slope passing across bothe sides of the graph
I had this on my test and i’m confused, can anyone help me?
10x + 364m = ?
Answer: It is complicated. I think you can graph it. The internet said that is was undoable.
Step-by-step explanation:
9=y + 6 what does it equal
Answer:
3
Step-by-step explanation:
3 +6=9
The perimeter of the pentagon below is 10.5 units. Four sides of this pentagon have the same length, h, and the other side has a length of 1.7 units, as shown below.
What is the value of h?
A 2.2
B 3.7
C 4.8
D 8.8
Answer:
A 2.2
Step-by-step explanation:
So the perimeter is 10.5 and one side is 1.7 and the others are the same.
The Equation for the perimeter of a pentagon is P = side + side + side + side + side.
Fill it out for the sides.
10.5 = 1.7 + 4h
8.8 = 4h
h = 2.2
draw a line representing the "rise" and a line representing the "run" of the line. state the slope of the line in the simplest form.
Answer:
-2x
Step-by-step explanation:
Rise over run,
This line goes up 4 (It goes up so it's positive).
and it goes to the left -2 times (Since it's left it's negative).
Slope: 4/-2 or -2/1 which is -2x
what is the perimeter of the shapes
Answer:
shape 1- 89.4 inches
shape 2- 29cm
Step-by-step explanation:
the perimeter is the sum of all numbers around the rim of the shape.
Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains more trail mix? Why
Answer:
The answer is "smaller bag ".
Step-by-step explanation:
Please find the complete question in the attached file.
There are more trail mixes in the smaller pack.
It's because in the smaller bag (6.8 ounces) the trail mix is more than in the bigger bag (6.18 ounces).
It was reasonable because the capacity of the bag is not stated, and both bags will contain far more than 6,8 ounces.
NUMBER 9 I NEED THIS RN MY FRIEND NEEDS THE ANSWER HELP ME PLEASE (60 Points) HELP
Answer:
18
Step-by-step explanation:
The first term is 18
I mean it's the first number
help pleaseeeeeeeeeeeeee !
What can you say about the end behavior of the function f(x) = -4x^6 +6x^2-52?
The true statement about the end behavior of f(x) is (b)
How to determine the end behavior?The equation of the function is given as;
f(x) = -4x^6 +6x^2-52
The leading coefficient of the above function is
Leading coefficient = -4
-4 is less than 0 i.e. negative
This means that options (a) and (c) are false
Also;
The ends of even functions face the same direction, and not opposite directions.
Hence, the true statement about the end behavior of f(x) is (b)
Read more about end behaviors at:
https://brainly.com/question/1365136
#SPJ9
What is the value of the expression as a Fraction
Which of these numbers is equivalent to 22/3
?
A. 0.136
B. 0.136 Repeating
C. 7.3
D. 7.3 repeating
Answer:7.3333333333
Step-by-step explanation:
Gomez isn’t sure what to do. Should he put his $3000 into an account paying 6% for 10 years compounded annually or should he put into an account paying 10% for five years?
Answer:
If these are the only two options, the most profitable is the first option (6% and 10 years).
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,000
Number of periods (n)= 10 years or 5 years
Interest rate (i)= 6% or 10%
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
6% interest rate:
FV= 3,000*(1.06^10)
FV= $5,372.54
10% interest rate:
FV= 3,000*(1.1^5)
FV= $4,831.53
If these are the only two options, the most profitable is the first option (6% and 10 years).
. The expression 5n + 2 can be used to find the total cost in
dollars of bowling where n is the number of games bowled and
2 represents the cost of shoe rental. How much will it cost
Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
If n is the number of bowls, then replace n with 3
5(3) + 2 = x
15 + 2 = x
x = 17
Mrs. Matthews is 24 years old and her daughter Nina is 6 years old. How old will Nina be when she is half as old as her mother?
Answer:
Nina will be 18 years old when she is half as old as her mother.
Step-by-step explanation:
With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:
24+x=2(6+x)
Now, you can solve for x:
24+x=12+2x
24-12=2x-x
12=x
Finally, you have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:
12+6=18
Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.
Can 1.2345 be written as a fraction ?
Answer:
2469/2000
Step-by-step explanation:
Answer:
Yes. 2469/2000
Step-by-step explanation:
f(x)=x^2+2x-6 and g(x)=x+5
Type the composition (gof)(x) of the given functions
F ( x + 5 )= x ^2 + 12 x + 29
The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
For two given functions f(x) and g(x), the composite function
(g ° f)(x) is g(f(x))
we know that:
g(x) = x+5
f(x) = x² + 2x - 6
Then:
(g°f)(x) = g(f(x))
So, we just need to evaluate g(x) in f(x):
g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5
(g°f)(x) = x² + 12 x + 29
Then the correct answer is (g°f)(x) = x² + 12 x + 29
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
BKS at a piece of paper along as diagonal, as shown below, towing two tendes
How do the height and base length of the two triangles compare to the height and base length of the original piece of
paper?
The two dimensions are the same in the triangles as they were in the rectangle,
The two heights are the same in the triangles as they were in the rectangle, but the bases of the triangles are half
the length of the base of the rectangle.
The two dimensions of the triangles are each half what they were in the rectangle.
its the second option because it is clearly shown and described on the screen