Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
The radius of the circle is 36 centimeters when the arc length is 32 centimeters and the corresponding central angle is (8/9)π radians.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference.
How is the length of an arc calculated?The length of an arc, s. of a circle having a radius r, with the central angle θ, is given as s = rθ.
How to solve the question?In the question, we are given an arc of a circle having a length (s) = 32π centimeters, and the corresponding central angle (θ) = (8/9)π radians.
We are asked to find the radius (r) of the circle.
We know that the arc length is the product of the radius and the central angle, that is, s = rθ.
Following this, we can write:
32π = r(8/9)π,
or, r = (32π*9)/(8π) = 36.
Therefore, the radius of the circle is 36 centimeters.
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Find the missing angle
Answer:
Step-by-step explanation:
2x + 3x = 90
5x = 90
Divide both sides by 5
x = 90/5
x = 18
Angles are: 3x = 3*18 = 54°
2x = 2*18 = 36°
I bought x cans of fruit cocktail and two more cans of mushrooms than cans of fruit cocktail. A can of mushrooms cost $.80 and a can of fruit cocktail cost $.90. How much money did I spend?
Answer:
0.9x + 0.8(x + 2)
Step-by-step explanation:
# of cans of fruit cocktail: x
# of cans of mushrooms: 2 more than x, or x + 2
$ of can of mushroom: $0.80
$ of can of fruit cocktail: $0.90
To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:
The price of the cans of fruit cocktail = 0.90 * x
= 0.9x
The price of the cans of mushrooms = 0.80 * (x + 2)
= 0.8(x + 2)
Total price = 0.9x + 0.8(x + 2)
2. A mountain climber descends a cliff at a rate of 2.5 ft/second.
a
Write an equation modeling the change in elevation c after s seconds.
Answer:
c=-2.5s
Step-by-step explanation:
The equation modeling the change in elevation c after s seconds is
c = -2.5s
Given,
A mountain climber descends a cliff at a rate of 2.5 ft/second.
We need to write an equation modeling the change in elevation c after s seconds.
How do we represent elevation and descent?Elevation means going up so we take it as a positive distance.
Descent means going down so we take it as a negative distance.
Find the rate at which the climber descents.
2.5 ft = 1 second
Find the equation that represents the descents c in seconds.
We have,
2.5 ft = 1 second
So,
s x 2.5 ft = s x 1 seconds
2.5 s ft = s seconds
This means,
In s seconds we will have a 2.5s distance descended.
We can write this as an equation:
c = change in elevation
c = - 2.5s
Thus the equation modeling the change in elevation c after s seconds is
c = -2.5s
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Convert 4.5% to a decimal
Answer:
0.045
Hope this helpful! Have a great night/day!
Answer:
0.045
Step-by-step explanation:
To convert a percent to a decimal, just move the decimal point 2 spaces to the left.
What kind of building material has the cheapest premiums?
helllllllllllllllllllllp me
Answer:
well theres prefabricated panel, concrete sheets, reclaimed wood, bamboo, brick those are the cheapest materials you could use
Step-by-step explanation:
What is the solution to the equation below? 5^x=26
Use the Pythagorean Theorem to
find the distance between
(1,1) & (-5,-4)
Answer:
Use the formula which is shown above.
Gabe is in a hot air balloon that has taken off and is floating now 7 meters above it's launching point. Adele is standing on the ground, 6 meters away from the launching point. How far apart are Gabe and Adele? If necessary, round to the nearest tenth.
[I need help]
c^{2} = b^{2} +a^{2}
use a right triangle
Answer:
9.2 m
Step-by-step explanation:
The right triangle model is shown in the attachment. The lengths 6 m and 7 m are the legs of the triangle, and the requested distance is the hypotenuse. The given Pythagorean theorem equation can be used to find the desired distance:
c² = a² +b²
c² = 7² +6² = 49 +36 = 85
c = √85 ≈ 9.2
Gabe and Adele are about 9.2 meters apart.
Factor completely.
x2−14x+48
Answer: -14x
48+x
2
−14x
A basket of goods and services is used to calculate CPI. Assume that the basket contains 5 toothbrushes and 2 tubes of toothpaste. The prices for those goods are shown in the table.
Year Toothbrush Tube of Toothpaste
year 1 $1.00 each $2.00 each
year 2 $1.25 each $2.10 each
What will the CPI for year 2 be?
A.
9.00
B.
10.45
C.
86.00
D.
116.11
The Consumer Price Index for the year 2 be 116.11.
How do we calculate Consumer Price Index?This is calculated by adding together a sampling of product prices from a previous year.
We then add together the current prices of the same products and divide the total of current prices by the old prices, then multiply the result by 100.
Given data
Year 1 = $9
Year 2 = $10.45
Year 2 / Year 1 = $10.45 / $9.00
Year 2 / Year 1= 1.6111
CPI for year 2 = 1.61 x 100
CPI for year 2 = 116.11
Therefore, the Option D is correct.
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I Need help on this question .
Answer:
x^2-y^2
Step-by-step explanation:
Foil (x+y)(x-y)=
x^2-xy+xy-y^2=
x^2-y^2=
Is 32 cm bigger than 315 mm
Answer:
Yes! 32 cm is 320 mm. I hope this helps you
Step-by-step explanation:
Answer:
32 centimeters are equal to 320 millimetres, so if compare the two:
315 __ 320
315 < 320, therefore 32 centimeters is bigger than 315 millimetres
look for numbers in place of the letters such that the following mathematical expression hold PRQ/3=OV UVW/6=OV MNO/9=OV
Answer:
PRQ/3
Step-by-step explanation:
it is done by adding the first two
What is the 6th term in the following sequence 48 40 32 24
Answer:
8
Step-by-step explanation:
48 - 8 = 40
40 - 8 = 32
...
so we can conclude that the next number in the sequence is the one before minus 8
24 - 8 = 16
16 - 8 = 8
The line plot above shows the distance in miles Luna runs each day. What is the difference in distance between the fewest miles she ran and the most miles she ran in a day?
Answer:
The answer is 4
Step-by-step explanation:
how do you do this?
========================================================
Explanatoin:
There are a number of ways to do this type of problem. One way is to divide the figure as shown in the diagram below. See the attached image.
I'm splitting the irregular shape into two rectangles and a triangle.
The upper rectangle is 10 miles by 9 miles to get an area of 10*9 = 90 square miles. Let A = 90 so we can use it later.
The lower rectangle is 4 miles by 19 miles. Its area is 4*19 = 76 square miles. Let B = 76.
The total vertical height of the figure is 9+4+10 = 23 miles.
Notice along the column that has "8 miles" up top over "9 miles" down below, we have a gap of some distance which I'll call x. This x adds to 8 and 9 to get the 23 mentioned.
x+8+9 = 23
x+17 = 23
x = 23-17
x = 6
This helps find the height of the triangle which is 9+x = 9+6 = 15 miles.
The triangle has a base of 9 miles.
The area of the triangle is base*height/2 = 9*15/2 = 135/2 = 67.5 square miles. Let C = 67.5
--------------
We found that:
A = 90 = area of the upper rectangleB = 76 = area of the lower rectangleC = 67.5 = area of the triangleThe total area is: A+B+C = 90+76+67.5 = 233.5 square miles.
Which function is shown in the graph below?
Answer:
B
Step-by-step explanation:
From the graph, we know when x -> -∞, y -> 3
Note x -> -∞, 2^x -> 0
so only A and B may be right.
Note y-intercept is 7 when x = 0, so only B is right
Aiden has a gross income of $63,000 and takes the standard deduction. Their total taxes due are $6,847.50.
What is their taxable income?
What is their marginal tax rate?
What is their effective tax rate? Round to the nearest hundredth of a percent.
If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
Taxable incomea. Taxable income:
Taxable income=Gross income - Total taxes due
Taxable income=$63,000-$6,847.50
Taxable income=$56,152.5
b. The marginal tax rate for taxable income under the income bracket of of $40,526 to $86,375 is 22%.
c. Effective tax rate:
Effective tax rate = Total taxes due/ Taxable income×100
Effective tax rate =$6,847.50/$56,152.5×100
Effective tax rate =10.869%
Effective tax rate =10.87% (Approximately)
Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
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......................
Answer:
the answer is in the picture
WHO CAN FILL IN THE VALUES OF THE TABLE. i dont understand. please, please help.
If you can also tell me what "employment-to-population ratio" is, what "labor force participation rate" is, "unemployment rate" all using the values of the table, i will make you brainiest.
Answer:
Total Population = Young & Institutionalized + Working Age Population
Working-Age Population = Labor Force + Not in the Labor Force
Labor Force = Employed + Unemployed
Total population = 400
Working Age Population = 300
Young & Institutionalized = 100
Not in Labor Force = 100
Labor Force = 200
Employed = 150
Unemployed = 50
Employment-population ratio = (Employed ÷ Working Age Population) x 100%
= (150 ÷ 300) × 100%
= 50%
Labor force participation rate = (Labor Force ÷ Working Age Population) x 100%
= (200 ÷ 300) × 100%
= 66.7% (nearest tenth)
Unemployment rate = (Unemployed ÷ Labor Force) x 100%
= (50 ÷ 200) x 100%
= 25%
I will mark brainlyist if correct Please help!
Answer: C: 5r + 12
Step-by-step explanation:
2(3r + 7) - (2 + r)
6r + 14 - 2 - r
5r + 12
someone can help me please
I got 9 minutes if its wrong it's wrong if its wrote good
) Lori and Jayden open 6 packs of baseball cards. They have 72 cards in all.
They want to know how many cards, c, were in each pack.
Answer:
12
Step-by-step explanation:
Since there are 6 packs in all, and a total of 72 cards, we can multiply 6×12=72
There were 12 cards in each pack if they have 72 cards in all.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Lori and Jayden crack open six packs of baseball cards. They have a total of 72 cards.
As per the given question, the required solution would be as;
Lori and Jayden have 6 packs × c cards/pack = cards in total.
This means that there are c = 72 cards / 6 packs = 12 cards in each pack.
Therefore, there were 12 cards in each pack.
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Suppose that the water level of the McBride River is at 34 feet above flood stage and that it is receding
(going down) at a rate of 0.3 ft per day.
Write a linear equation to represent the how far the McBride River is above flood stage.
Answer:
y= -0.3x + 34
Step-by-step explanation:
y=mx+b
y= -0.3x + 34
explain why it takes more 1/9s than 1/6s to make a fraction equivalent to 1/3
Answer:
1/9 is smaller than 1/6, so it takes more amounts of 1/9 to make make a fraction equal to 1/3
It takes more 1/9 than 1/6 to make a fraction equivalent to 1/3.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
To make a fraction equivalent to 1/3, we need to multiply both the numerator and the denominator by the same non-zero constant. Let's call this constant "x". Therefore, the equivalent fractions are:
1/3 = (x1)/(x3)
To compare how many 1/9s and 1/6s are needed to create this fraction, we need to find the value of "x" that will make the denominators of 1/9 and 1/6 equal to the denominator of 1/3, which is 3.
For 1/9, we can find x as follows:
1/9 = (x1)/(x9)
Multiplying both sides by 3, we get:
3/9 = (x3)/(x9)
Simplifying, we get:
1/3 = x/9
Multiplying both sides by 9, we get,
x = 3
Therefore, to make a fraction equivalent to 1/3 using 1/9, we need to multiply both the numerator and denominator by 3.
Now let's look at 1/6. We can find x as follows:
1/6 = (x1)/(x6)
Multiplying both sides by 2, we get:
2/12 = (x2)/(x12)
Simplifying, we get:
1/6 = x/12
Multiplying both sides by 12, we get:
x = 2
Therefore, to make a fraction equivalent to 1/3 using 1/6, we need to multiply both the numerator and denominator by 2.
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What are the values of the variables in the triangle below?
Answer:
x=9
y=3√3
Use trig ratios
Answer:
x = 3sqr3, y = 9
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the hypotenuse, so I could use either SOH either CAH or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get Sin(angle)*hypotenuse = opposite. Now let's fill in with the values to give:
Sin(30)*6sqr3 = 3sqr3
And then to find x, let's use CAH, which is Cos(angle) = adjacent/hypotenuse.
Rearrange it to get Cos(angle)*hypotenuse = adjacent. This gives us a side x with a value of:
Cos(30)*6sqr3 = 9
Which values are solutions to the inequality x < 15
Answer:
{x|x<15}
Step-by-step explanation:
all real numbers less than 15
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a quadrilateral is a polygon with 4 sides. A rhombus is a quadrilaterial with 2 sets of parallel sides and 4 congruent sides. Which of the following is both.a quadrilateral and a rhombus
need more info to help need the picture
If 32 − x = 16, what is the value of x?
Answer:
32-16=x
x=16 that's your answer
Answer ๑•ᴗ•๑
[tex]32 - x = 16 \\ - x = 16 - 32 \\ - x = - 16 \\ x = 16[/tex]
The formula d= 2a relates the area (A) of a square and its diagonal length (d). What is the area
of a square if its diagonal has a length of 50 centimeters?
Answer:
my answer is 24 and this question is somehow a hard for me because I'm just saying yes to