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Complete Question
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii. Which is the radian measure of central angle KOL?
a) StartFraction 3 pi Over 8 EndFraction radians
b) StartFraction 3 pi Over 4 EndFraction radians
c) StartFraction 7 pi Over 8 EndFraction radians
d) StartFraction 13 pi Over 5 EndFraction radians
Answer:
b) StartFraction 3 pi Over 4 EndFraction radians
Step-by-step explanation:
Minor arc KL measures 135°. Circle O is shown. Line segments K O and O L are radii.
Note that:
π radians = 180°
Therefore,
180° = π radians
135° = x
Cross Multiply
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Therefore, the radian measure of central angle KOL is 3π/4 radians. Option b) is the correct option.
Answer: B
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
31.4
Step-by-step explanation:
first you take your radius of 5 and times it by 2.
5 x 2 = 10
times 10 by pie
10 x 3.14 = 31.4
9. A box of cereal is packaged and sold at a local
grocery store. The volume of the cereal in the
box is 80% of the total volume of the box. The
base of the box measures 10 inches by 3 inches.
The height of the box is 1 foot. What is the
volume of the cereal in the box, measured in
cubic inches?
Answer:
288 Cubic Inches
Step-by-step explanation:
Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.
First, do Base x Width x Height for the volume of the box.
10 inches x 3 inches x 1 foot (1 foot is 12 inches)
10 x 3 x 12 = 360
Now, take 80% of 360 cubic inches.
80% is 0.8 times a number
0.8 x 360 = 288
288 Cubic Inches
2х +3y
what is the value of this equation
Answer:
12/15
Step-by-step explanation:
Simplify x^−7. Write your answer using only positive exponents.
x-7 Is how you simplify
Positive form is 1/x/7
A rectangular prism has a length of 11 inches, a width of 2 inches, and a height of 3 inches. What is the volume of the prism?
Answer:
66 inch ^3
Step-by-step explanation:
The volume of a rectangular prism is LxWxH. So 11x2x3= 66 inches.
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Answer:
25 hours per week
Step-by-step explanation:
Step one:
given data
Suri makes $15 per hour and gets a weekly bonus of $25
Juan makes $14 per hour and gets a weekly bonus of $50.
Let the number of hours worked be x
and let the total earned be y
For Surl
The expression for the total is
y= 25+15x-----------1
For Juan
The expression for the total is
y= 50+14x-----------2
Step two:
Equate the two expressions we have
25+15x=50+14x
collect like terms we have
25-50= 14x-15x
-25= -x
x= 25
Yes its is possible that they earned the same amount if they work for 25 hours
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
Answer:
Rs 877.2
Step-by-step explanation:
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
The iron box is shaped as a rectangular prism
The formula for the surface area of a rectangular prism is given as:
S = 2(lw + lh + wh)
L = Length = 9ft
W = Width = 4.4ft
H = Height = 2.5 ft
Hence:
Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]
Surface area = 2[(39.6) + (22.5) + (11)]
Surface area = 2[73.1]
Surface area = 146.2 ft²
From the question:
The cost of the sheet is Rs 6 per Square Foot
1 ft² = Rs 6
146.2 ft² = x
Cross Multiply
x = 146.2 × Rs 6
x = Rs 877.2
The cost of the iron sheet used to make the box is Rs 877.2
What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2
Answer:
i think c
Step-by-step explanation:
2 2/7× 11/12 what is the ans
Answer:
There are 3 different forms of the answer.
Step-by-step explanation:
1. 44/21
2. 2.10
3. 2 2/21
Could someone good at geometry help me please. I will mark brainliest!! :)
Simplify: x + (x-y) + y + (y-x)
Answer:
x+y
Step-by-step explanation:
It is x+y because if you look at (x-y) and (y-x) they can cancel with each other since x- x and -y+y. All that's left is x+y
Can somebody please help me with this ? help will be very much helpful:)
Answer:
lesser x should be -5
greater x should be 5
Step-by-step explanation:
Answer:
x = (5,-5)
Step-by-step explanation:
isolate the variables by dividing each by factors that don't contain the variable
What is the domain and range if the equation is y= x^2 -2x -8
Answer:
Domain :
R (all real numbers)
Range :
{y element R : y>=-9}
Find the values of x any y. Write your answers in simplest form.
Step-by-step explanation:
using trignometry,
tan 60 = 3√3/x=√3
→x=3
cos 30 =3√3/y=√3/2
→y=6
The questio is in the picture
Answer:
It's 14
Step-by-step explanation:
Answer:
i cant see the wording dude make it closer
Step-by-step explanation:
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
10) Solve the inequality for x.
- 2x + 2<-8
A) X<3
B) x < 5
C) X> 3
D) X> 5
Answer:
it is D
Step-by-step explanation:
Answer:
D.X> 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
two functions are given below. f(x) =-4x+1 g(x)=-4x+1/2
Answer:
hope this helps
Step-by-step explanation:
x= −1 /4 y + 1 /4
g= −8x+1 /2x
What is the value of the expression (5)³?
Answer:
125
Step-by-step explanation:
5³ = 5 · 5 · 5 = 125
Answer:
125
Step-by-step explanation:
(5)^3 = 5*5*5
5*5*5= 25*5= 125
Hope it helped :))
Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)
The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer
Answer:
x = 23 ; y = 15
Step-by-step explanation:
Given :
Let the numbers be : x and y
x + y = 38 - - (1)
x = y + 8 - - - (1)
Put x = y + 8 into (1)
y + 8 + y = 38
2y + 8 = 38
2y = 38 - 8
2y = 30
y = 30/2
y = 15
x = y + 8
x = 15 + 8
x = 23
Using the diagram below, determine what the value of x is. Remember a straight line is 180 degrees and a complete circle is 360 degrees.
Answer:
x= -66
Step-by-step explanation:
Find the simple interest for 3 years at a rate of 5% on $200
Answer:
The simple interest is $30
Step-by-step explanation:
To find this, we use the simple interest formula
Mathematically, this is;
I = PRT/100
P is the principal = $200
R is the rate = 5%
T is the time = 3 years
Substituting these values, we have;
I = (200 * 5 * 3)/100
I = $30
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
solve for x and y. please help. will give brainiest
Plz refer the picture
plz mark as brainliest
On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before
Answer:
its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.
State the domain: x^2 +16x+64
Answer:
All real numbers
Step-by-step explanation:
x² + 16x + 64 is a parabola that opens up, when graphed.
This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.
So, the domain will include all real numbers.
Just answer the question if you actually answer it you get brainliest and 50 points.
Step-by-step explanation:
f(x) = a * b^x
We have the following information:
f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.
f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.
Hence f(x) = 15 * 0.6^x.
2 4/10 + 3 5/8 = what does it equal
PLEASE HELP! I've reposted this soooo many times and no one answered, I WILL GIVE BRAINLIEST!
Answer: C
Step-by-step explanation:
Answer: D
Step-by-step explanation:
1.88 in the equation is the rate of change.
rate of change means, "the speed at which a variable changes over a specific period of time."
L = the length of his femur. every time the femur grows an inch, the height also increases according to the equation.
an example is when the femur is 19 inches.
H = 1.88(19) + 32.01
H = 67.73
The height of the man is 67.72 inches if his femur was 19 inches.