Answers
180° = π radians
13. (105°)*(π radians)/180° = 7π/12 radians
14. 5π/6 radians * 180°/(π radians) = 150°
15. (The geometry shown cannot actually exist. The total of subtended arcs on any linked sprockets must be 360°.)
a.
The arc length on the smaller sprocket is (12 in)*(160/360) = 5 1/3 in.
The arc length on the larger sprocket is (20 in)*(185/360) = 10 5/18 in.
The total chain length is 5 6/18 +10 + 10 5/18 + 10 = 35 11/18 in. Rounded to the nearest tenth inch, the chain length is 10.3 inches.
b.
10.3/0.5 ≈ 20.6 ≈ 21
The chain has about 21 links. (There are no "teeth" on a chain.)
1. The radius can be found by looking at the distance between the origin and the line 8x+6y-48=0. That distance is |-48|/√(8²+6²) = 4.8.
Since the radius of the circle is 4.8, so its circumference is ...
9.6π cm, about 30.159 cm.
2. s = rθ
s = (12 cm)(π/3 radians) = 4π cm
The length of arc AB is 4π cm, about 12.566 cm.
Related Questions
sally is comparing the prices of two window cleaning companies. company A charges $7 per window and ajbadditional $12 as service charges. company B charges $5 per window and an additional $15 as service charges. Part A: write an equation to represent each company’s total charges for cleaning a certain number of windows, for both equations (one for company A and one for company B), define the variable used . Part b: how much would company A AND company B each charge for cleaning 8 windows ?
Very quick please
Answers
Company B: 5w+15
Part B:::
company a would charge $68
and company B would charge $55
Carla sells hot coffee, cider and tea from a sidewalk cart near wall street in new york city. last month she sold $4,500 worth of product to 1,000 customers. she spent $800 on buying her beverages in bulk. her monthly costs are: utilities = $100, salary = $2,000, advertising = $0, insurance = $0, interest = $0, rent (cart) = $600, depreciation = $0. what are carla's fixed costs?
Answers
Cost=(cost of beverages)+(salaries)+(utilities)+(rent)
cost=800+2000+100+600
cost=$3500
Thus the total fixed cost was $3500
It is 3500
Carla sells hot coffee, cider and tea from a sidewalk cart near wall street in new york city. last month she sold $4,500 worth of product to 1,000 customers. she spent $800 on buying her beverages in bulk. her monthly costs
Harry needs to paint a cereal box for a school project. What measure should he use to find the total amount of paint he needs to cover the cereal box with paint? area lateral area surface area volume.
1. area
2. lateral area
3. surface area
4. volume
Answers
Therefore, he must paint:
Base and roof.
Left and right side.
Front and back side.
The measure you need to know therefore is:
Surface area of the box.
Answer:
He should use to find the total amount of paint I need to cover the cereal box with paint:
3. surface area
Answer: C
Step-by-step explanation:
Explain why the graph shown may be misleading.
Answers
there are 30 mid-size, 3 of 10 each.
and there are 20 trucks,
however, in the graph, they all seem to have the same start point and end point, and the mid-size are elongated more than the compacts, and the trucks are much larger than the others above it, almost suggesting the amounts for all are equal somehow for that period.
the amounts must correlate horizontally as they're laid, thus the compacts should be longer than the rest, the mid-size behind it and the trucks half-way of the compacts.
What is the trigonometric ratio for cos D?
Answers
The definition of the cosine:
[tex] \cos( \alpha ) = \frac{adjecent}{hypotenuse} [/tex]
When we fill in this formula with the data from the picture, we get the following:
[tex] \cos(d) = \frac{21}{75} = \frac{7}{25} [/tex]
Therefore, the answer is 7 / 25
A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Milk? There are 128128128 ounces in 111 gallon.
Answers
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.
Solution:
Cost of 1 gallon of Moo Milk = $ 5.12
1 gallon = 128 ounces, so we can write:
Cost of 128 ounces of Moo Milk = $ 5.12
Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04
Cost of 8 ounces of Moo Milk = $ 0.04 x 8 = $ 0.32
Thus, 8 ounces of Moo Milk will cost $ 0.32
Answer:
0.32
Step-by-step explanation:
The ration of gallons to cost is 1:$5.12
We want to know the ratio of ounce to cost.
We need to convert gallons to ounces.
There are 128 ounces in 1 gallon.
So, if one Moo Milk costs $5.12, then 128 ounces also cost $5.12
The ratio of ounces to cost is 128:$5.12
Now, we can find an equivalent ratio to find the cost for 1 ounce.
Then we can multiply by 8 to find the cost of 8 ounces
Ounces ---------> Cost
128 ------------> 5.12 (Both divided by 128)
1 -------------> 0.04 (Both times 8)
8 ------------> 0.32
An 8 ounce of Moo Milk costs $0.32
Calculate the length b to two decimal places A) 890.68 B) 36.99 C) 36 D) 29.84
Answers
we know that
the law of cosines established that
b² = a² + c² − 2ac cos(B)
in this problem
a=22 units
c=14 units
B=110°
b² = 22² + 14² − 2*22*14*cos(110°)----> b²=890.68------> b=29.84 units
the answer is the option
D) 29.84
There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. find p(green, then yellow).
a. start fraction 40 over 900 end fraction
b. the term shows 5 over 30.
c. the term shows 8 over 30.
d. start fraction 40 over 870 end fraction
Answers
Green: 5/30
Yellow: 8/29 (you subtract one from the denominator because you already picked a green the first time)
5/30 x 8/29 = 40/870
The correct option is d. [tex]\( \frac{40}{870} \)[/tex]
To find the probability of selecting a green gum ball followed by a yellow gum ball, we first calculate the total number of gum balls and then determine the number of ways to select a green gum ball followed by a yellow gum ball.
[tex]\text{Total number of gum balls} = 9 (red) + 5 (green) + 8 (yellow) + 8 (blue) = 30[/tex]
Number of ways to select a green gum ball followed by a yellow gum ball:
There are [tex]5[/tex] green gum balls and [tex]8[/tex] yellow gum balls.
Therefore, the number of ways to select a green gum ball followed by a yellow gum ball is [tex]\(5 \times 8 = 40\)[/tex]
The probability of selecting a green gum ball followed by a yellow gum ball is the number of ways to select them divided by the total number of gum balls:
[tex]\[ P(\text{green, then yellow}) = \frac{40}{30 \times 29} \][/tex]
[tex]\[ P(\text{green, then yellow}) = \frac{40}{870} \][/tex]
Find k if 64 ÷ k = 4
Answers
Let's solve this problem step by step!
[tex]64 \div k = 4[/tex]
Multiply both sides by k.
[tex]64 = 4k[/tex]
Switch sides.
[tex]4k = 64[/tex]
Divide both sides by 4.
[tex]k = \frac{64}{4} = 16[/tex]
~ Hope this helps you!
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere?
Answers
The approximate volume of the sphere is 266.19 cubic centimeters.
To find the approximate volume of a sphere from its surface area, we will use the relationship between the surface area and radius of the sphere and then apply the formula for the volume. The surface area (A) of a sphere is given by the formula A = 4πr2, and the volume (V) is given by the formula V = (4/3)πr3. Given that the surface area of the sphere is 200.96 square centimeters, we can solve for the radius (r) first:
A = 4πr2
=> r2 = A / (4π)
=> r2 = 200.96 / (4π)
=> r = √(200.96 / (4π))
=> r ≈ 3.99 cm (after calculating using a calculator)
Now that we have the radius, we can find the volume:
V = (4/3)πr3
=> V = (4/3)π(3.99 cm)3
=> V ≈ 266.19 cm3 (after calculating using a calculator)
Therefore, the approximate volume of the sphere is 266.19 cubic centimeters.
what equations is equivalent to y = log x
Answers
"log" standing alone actually means "logarithm to the base 10."
Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10
A car wash machine cleaned 20 cars in 50 minuets at this rate how many minutes will it take the machine to clean 1 car
Answers
x: time in minutes
y: number of clean cars
We then have the following equation:
y = (20/50) x
For 1 car we have:
1 = (20/50) x
Clearing x:
x = 50/20
x = 2.5 minutes
Answer:
It will take the machine to clean 1 car about:
x = 2.5 minutes
The machine will take 2.5 minutes to clean 1 car.
Explanation:To find the number of minutes it will take the machine to clean 1 car, we can use the concept of ratios. If the machine cleaned 20 cars in 50 minutes, we can set up a ratio:
20 cars / 50 minutes = 1 car / x minutes
Using cross-multiplication, we can solve for x:
20x = 50
x = 50 / 20 = 2.5 minutes
Therefore, it will take the machine 2.5 minutes to clean 1 car.
The length of a rectangle is increase by 25%. to keep the area of the rectangle the same, by what percent must the width be decreased
Answers
A square can be changed into a rectangle by increasing the length of the square by 5 units and increasing the width by 3 units. which expression represents the area of the rectangle in square units?
Answers
The area of the rectangle that was transformed from a square by increasing the length by 5 units and the width by 3 units is given by the expression (a + 5)(a + 3), or when expanded a² + 8a + 15.
Explanation:Given that the original shape was a square, the length and width of the square are the same. Let's denote this common length as 'a'. When transformed into a rectangle, the length was increased by 5 units and the width increased by 3 units. Therefore, the new length and width of the rectangle are 'a + 5' and 'a + 3' respectively.
The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the rectangle in square units is represented by the expression (a + 5)(a + 3), which when expanded gives a² + 8a + 15.
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The area of a new rectangle formed from a square by increasing the length by 5 units and the width by 3 units is represented by the mathematical expression (side+5) * (side+3) in square units. This equation stems from the basic geometric formula of calculating the area by multiplying the length by the width.
Explanation:The area of a shape, such as a square or rectangle, is calculated by multiplying its length by its width. In the case of a square, where all sides are equal, the formula for area can be represented as side² or side * side. If we know the side of the square, and it is increased in length by 5 units and width by 3 units, we are essentially creating a rectangle now. The formula for the rectangle area changes to (side+5) * (side+3). So, if you have a square and you increase the length by 5 units and the width by 3 units, the expression that represents the area of the new rectangle in square units would be (side+5) * (side+3). For example, if side of the square was 5 units originally, upon modification, length of rectangle will be [tex]5+5 = 10[/tex] and width will be [tex]5+3 = 8[/tex]. So, area of rectangle becomes [tex]10*8 = 80[/tex] square units.
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During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. if the first caller has a chance to win $100, which equation finds the amount the 10th caller receives, if the 10th is the first to answer the question correctly?
Answers
1. You have that $50 is added to the prize money each time a caller answers the contest question incorrectly and the first caller has a chance to win $100.
2. Therefore, the amount the 10th caller receives, if the this caller answers the question correctly, is:
x: the amount the 10th caller receives.
y: the number of caller
x=100+50(y-1)
As y=10 (the 10th caller), you have:
x=100+50(10-1)
x=100+50(9)
x=100+450
x=$550
Answer:
a is correct on edege
Step-by-step explanation:
For the function y = -2x + 20, what is the output when the input is 50.
Answers
Input 50
Y=-2(50)+20
Y=-100+20
y=-80
I hope this helps :) feel free to ask if you need anything cleared up
I got 4/7s + 5/7 But I’m not sure if that’s correct
Answers
2/7(2s + 3)
Simplify by by using the rainbow tactic.
(2/7 × 2s) + (2/7 × 3)
Simplify.
**Remember : 2s is the same as 2/1s and 3 is the same as 3/1**
(2/7 × 2/1s) + (2/7 × 3/1)
Simplify.
4/7s + 6/7
~Hope I helped!~
The English Alphabet has 20 letters more than one-fourth the number of letters in the Greek Alphabet. The English Alphabet has 26 letters. Which of the following equations would you use to find the number of letters, g, in the Greek Alphabet?
Answers
Greek Alphabet = g
The English Alphabet has 20 letters more than one-fourth the numbers of letters in the greek alphabet: 1/4g + 20 = e
The English has 26 letters.
Plug in 26 for e
1/4g + 20 = 26
Isolate the g, do the opposite of PEMDAS. Note the equal sign. What you do to one side you do to the other.
Subtract 20 from both sides
1/4g + 20 (-20) = 26 (-20)
1/4g = 26 - 20
1/4g = 4
Multiply 4 to both sides to isolate the g
1/4(4)g = 4(4)
g = 4(4)
g = 16
The Greek Alphabet has 16 letters
hope this helps
PLease dont answer if you dont know...
Use the Law of Sines to find side "b" of the triangle.
Answers
side a / sin (angle A) = side b / sin(Angle B)
Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.
replace those values in the formula we get:
50 / sin(58) = b/ sin(48)
so now we can cross multiply the 2 fractions to get:
50 * sin(48) = b*sin(58)
to get b by itself, divide both sides by sin(58) to get:
b = (50*sin(48)) / sin(58)
b = 43.82
You may need to round the answer as needed.
$2,400 principal earning 2%, compounded annually, after 7 years
Answers
so i think the answer is 14 lol i could be wrong i did this so long ago...
Answer:
The answer is 2,765.85 dollars. Thanks.
Step-by-step explanation:
Can someone answer this question for me as well.
The equation tan-1 (9.4/8.2) = x can be used to find the measure of angle LKJ. What is the measure of angler LKJ? Round to the nearest whole degree.
*KL = 7.7 cm, LJ = 8.9 cm*
Answers
tan(x) = 9.4/8.2
x = (tan^-1)(9.4/8.2)
Simplifying gives:
x = (tan^-1)(1.146)
x = 48.9 degrees.
This is approximately equal to 49 degrees.
Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?
Answers
6 truck will hold 144 containers in total
Factor the trinomial below.
6x2 – 9x – 6
A. 3(2x + 1)(x – 6)
B. 3(2x + 2)(x – 1)
C. 3(2x + 1)(x – 2)
D. 3(2x + 6)(x – 1)
Answers
6x2 - 9x - 6
Rewriting we have:
3 (2x2 - 3x - 2)
Factoring we have:
3 (2x + 1) (x-2)
Answer:
The factored expression for this case is given by:
C. 3 (2x + 1) (x - 2)
Answer:
C. 3(2x+1)(x-2)
Step-by-step explanation:
To factor the trinomial 6x² - 9x -6, we will follow the steps below;
First, 3 is common among the three numbers, so we will start by factoring out 3, so that the expression becomes;
3(2x² - 3x - 2)
We will now proceed to factorize; 2x² - 3x - 2
Find two numbers such that its product gives -4 and its sum gives -3.
Such number is -4 and 1
-4 × 1 = -4
-4 + 1 = -3
We will replace -3x by -4x + x in the above expression
2x² - 4x + x - 2
(2x² - 4x) (+x - 2)
In the first parenthesis, 2x is common, so we will factor out 2x while in the second parenthesis 1 is common, so we will factor out 1. Hence;
2x(x - 2) + 1(x-2)
(2x+1)(x-2)
3(2x² - 3x - 2) = 3(2x+1)(x-2)
6x² – 9x – 6 = 3(2x+1)(x-2)
Therefore the factorized form of 6x² – 9x – 6 is 3(2x+1)(x-2)
WILL GIVE BRAINLIEST
FIND VOLUME
60 is the area of the base
Answers
First of all, V (prism) = area of base (B) × h
We know that the height (h) of this prism is given, which we'll need later on: h = 5 ft, and area of base (B) is given as 60 ft2
So V = 60 ft2 × 5 ft = 300 ft3
So now for the hard part... how to calculate the SA of this prism
IF YOU DON'T NEED SA FOR THIS TYPE OF PROBLEM, DO NOT PROCEED!!!
[VERY DETAILED]
means solving the dimensions (sides) of that pesky polygon base (B) or lid.
The most important things about polygons are:
1) is it regular (same angle ° and side length)??
2) How many sides or angles??
This has to be regular, because they give you no other info so it has to be, in order to solve. And then it has 5 sides and angles = regular pentagon. ("penta" means 5).
Now there are 360° in any circle, so:
take the central angles of where the sides meet at the center forming triangles (see drawing above), each of those (5) central <'s = 360/5 = 72°
Now the apex of each of these triangles = 72°
but with our 5 triangles, we need to find the height of each triangle -- which is the midpoint of the side (base (b) of triangle), and h is perpendicular to this b. By bisecting that apex angle of 72, it forms 2 equal right triangles of
72/2 = 36°. So each right triangle has 36, 90, and?? 180-36-90 = 90-36 = 54°
let's call the base (b) = 1 side of pentagon
= side (s)
Therefore (see 2nd image drawn above) tangent (tan) of € = opposite/adjacent, or
tan (54) = h÷1/2b --> h = [tan (54)]×(1/2)b
1/2b = h/[tan (54)] = h/1.38
Also the area of each of the larger 5 triangles A(t) = 1/2b×h, and that area A(t) × 5 = area of whole pentagon base A(B)
So now after all that... our A(B) given at beginning = 60ft2. let's put it all together:
1/2b = h/[tan (54)] = h/1.38
A(t) = 1/2b×h, and A(B) = 5×A(t)
which means that A(B) = 5×(1/2b×h)
AND since the other calculation shows that 1/2b = h/1.38, plug that value into the A(B) formula...
.
.
.
now that we have height (h) of each triangle, we can go back to our tan equation for the triangle: tan (54) = 1.38 = h/(1/2b)
--> 1/2×b = h/1.38 --> base (b) = 2h/1.38
b = 2(4.06 ft)/1.38 = 8.12 ft/1.38 = 5.90 ft, for which b us also the width of each rectangular side panel (w)
length (l) of these sides was given as height of the whole prism = 5 ft
NOW FINALLY... THE FINAL SURFACE AREA OF THE PRISM (SA) = (2×A(B)) + (5×rectangular side)
SA = (2×60 ft2) + (5×(l×w)) = 120 ft2 + 5×5ft×5.9ft
SA = 120 ft2 + 147.62 ft2 = 267.62 ft2
Answer:
300 ft³
Step-by-step explanation:
Volume = Area of base × height
Volume = 60ft² × 5ft
Volume = 300 ft³
Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)
Answers
The equation for point-slope form is
y - b = m(x - a)
m is the slope
(a, b) is a point the line passes through
We are looking for a equation that follows this
The answer is C because a point the line goes through is (6, 2)
The answer is C
Hope this helps!
The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. What are the coordinates of the point P on the line segment such that P is the length of the line segment from G?
Answers
The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. Hence the required coordinate point is (9/4, 11/4).
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment [tex]\overline{AB}[/tex] such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is[tex](x_1, y_1)[/tex]
and the coordinate of B is [tex](x_2, y_2)[/tex]
The coordinate point between two points P and G divided between ratios a and b is expressed as;
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
Given the coordinate points F(3, 5) and G(0, –4) divided within the ratio 1:3
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{1(0) + 3(3)}{1+3} , \dfrac{1(-4)+ 3(5)}{1+3} \right)\\\\(x,y) = \left( \dfrac{9}{4} , \dfrac{11}{4} \right)[/tex]
Hence the required coordinate point is (9/4, 11/4).
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PLSSSSS HELP :(
Determine whether the following pair of lines are parallel, perpendicular, or neither.
3x + 4y = 7 y = −2 − 34x
Answers
y = -34x - 2
4y = -3x + 7
y = (-3/4)x + 7/4
if the first equation is meant to b -3/4x - 2 then they are parallel
the supplement of angle t is 4 times the measure of angle t
Answers
one angle = t
the other angle = 4 x t or 4t
so we now have t + 4t = 180
4 + 4t = 5t
so we have 5t = 180
divide both sides by 5:
t = 180 /5
t = 36
so angle t = 36 degrees
the other angle = 4 x 36 = 144 degrees
A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0).
Which are the equations of the asymptotes?
Answers
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Asymptotes:
[tex]y = \pm \frac{b}{a} x[/tex]
'a' is distance vertex is from center --> a = 9
'c' is distance focus is from center --> c = 15
[tex]a^2 + b^2 = c^2 \\ \\ b^2 = 15^2 - 9^2 = 144 \\ \\ b = 12[/tex]
Asymptotes are:
[tex]y = \pm \frac{12}{9} x = \pm \frac{4}{3} x[/tex]
Answer:
C
Step-by-step explanation:
The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers to decorate for a graduation party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
Answers
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches
The diameter of the roll of streamers after the circumference decreases to 7 inches is approximately 2.23 inches.
To find the diameter after the circumference decreases, we can use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter.
Initial circumference, C₁ = 9 inches.After using some streamers, the new circumference, C₂ = 9 inches - 2 inches = 7 inches.Using the formula C₂ = πd₂, we solve for d₂:d₂ = C₂ / π
d₂ = 7 / ππ (pi) approximately equals 3.14159.
So, d₂ = 7 / 3.14159 ≈ 2.23 inches.
Therefore, the diameter after the decrease is approximately 2.23 inches.