-560° in radian is -28π/9 radian and the positive and negative coterminals are 8π/9 and -10π/9 respectively.
170° in radian is 17π/18 radian and the positive and negative coterminals are 53π/18 and -19π/18 respectively
How to convert the degree measure of angle to radians?An angle can be converted from degree to radian by multiplying it by π/180.
1. -560°
-560° × π/180 = -28π/9 radian
2. 170°
170° × π/180 = 17π/18 radian
In general, if θ is any angle in radian, then θ + n(2π) is coterminal angle with θ, for all nonzero integer n.
coterminal of -28π/9:
positive: -28π/9 = -28π/9 + 2(2π) = 8π/9
negative: -28π/9 = -28π/9 + 2π = -10π/9
coterminal of 17π/18:
positive: 17π/18 = 17π/18 + 2π = 53π/18
negative: 17π/18 = 17π/18 - 2π = -19π/18
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A person is using a new teenis ball launching machine that is 15 inches by 14. Assuming the machine uses tennis balls that are spherical and 2.7 inches in diameter, how many tennis balls should fit in one of the top of the machine?
The number of tennis ball fit in the machine are 305 balls.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.
given dimensions of machine 15 x 15 x 14
volume of machine is 15 x 15 x 14 = 3150 cubic inches
and shape of ball is spherical,
with dia = 2.7 inches
radius of ball = 2.7/2 = 1.35 inches
volume of sphere is 4/3πr³
V = 4/3πr³
V = 4/3(3.14)(1.35)³
V = 4/3(3.14)(2.46)
V = 10.30 cubic inches
the area covered by 1 ball is 10.30 cubic inches
the number of ball in machine is 3150/10.30
the number of ball in machine = 305.82 = 305 approx
Hence 305 balls can be fit in machine.
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Brandon is building a desk that is 42 inches long. A piece of wood that he bought is 4 feet long. How much does Brandon have to cut off that piece of wood to make it the same length as his desk?
A. 2 inches B. 6 inches C. 12 inches D. 2 feet
Answer:
6 inches
Step-by-step explanation:
there are 12 inches in a foot
4 ft * 12 = 48 inches
48 - 42 = 6
Cut off 6 inches
Is the set of rational expressions closed under division
Answer:
Step-by-step
Closure property is true for division except for zero.
A family of 3 goes to a fair. Tickets cost $5 each, but
each person has a coupon. They pay $7 altogether.
How much money does each person save on buying
their ticket?
5x - 7 = 3
7 = 3(5 + x)
3x + 5 = -7
x + 7 = 3 x 5
Answer: $105
Step-by-step explanation:
Answer:
$2.66
Step-by-step explanation:
Step 1: Multiply the $5 to the family of 3
[tex]5 \times 3 = 15[/tex]
That's what they would have paid if they did not have a coupon. Now they have a coupon and only pay $7.
Step 2: Subtract what they paid from the result
[tex]15 - 7 = 8[/tex]
Now we have found how much they save altogether. To find how much they saved each;
Step 3: Divide the result found in step 2 by the family of 3
[tex]8 \div 3 = 2.66666\dots[/tex]
Each person saves approximately $2.66
Which absolute value function, when graphed, will be
wider than the graph of the parent function, f(x) = |x|?
On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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HELPPP PLEASE ASAPPP 20 POINTS!
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900
x + y = 320
10x + 7y = 320
x + y = 2900
Brainiest for correct answer
A system of equations to model this scenario is given as follows -
x + y = 320
7x + 10y = 2900
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c{m} - slope {c} - intercept along the y - axis.
Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.
Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -
x + y = 320
7x + 10y = 2900
Therefore, a system of equations to model this scenario is
x + y = 320
7x + 10y = 2900
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Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(4-2)
(8.2)
(-16-17)
(-1.-8)
(-40,-34)
I need help with this answer all of them correctly please.
Answer:
1 / 9
Step-by-step explanation:
Total number of letters = 9 ; This is the total possible outcomes
Number of letter D = 1 ; this is the required outcome
Recall:
Probability = required outcome / Total possible outcomes
P( choosing D) = 1 / 9
A cone has a radius of 7cm and a height of 12 cm. Find the volume
9514 1404 393
Answer:
196π cm^3 ≈ 615.8 cm^3
Step-by-step explanation:
Put the numbers in the volume formula and do the arithmetic.
V = 1/3πr^2·h
V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3
The product of -12 and a number is the same as the sum of the number and 26
-2
Step-by-step explanation:
12x＝x+26
-13x＝26
x＝-2
Solve Using substitution 3x+5y=-28 Y=x+4
Answer:
(-6, -2) x=-6, y=-2
Step-by-step explanation:
3x + 5(x+4) = -28
3x + 5x+20=-28
8x+20=-28
8x=-48
x=-6
Y=-6+4
y=-2
Set X is the set of all multiples of 6 between 15 and 70.
Which set is equivalent to set X?
A. {6, 12, 18, 24,...}
B. {6, 12, 18, ...,66}
C. {18, 24, 30, 36,...}
D. {18, 24, 30, ..., 66}
E. {18, 24, 30, ..., 70}
Answer:
D
Step-by-step explanation:
we have 2 conditions
1. to be a multiple of 6
2. to be between 15 and 70
A and B are not correct because have numbers les than 15
C is not correct because the numbers keep on going passed 70
E is not correct because 70 is not a multiple of 6
D is correct because has both conditions meet
A 36-foot flagpole casts a 10 3/4-foot shadow, while the hospital nearby casts 37 5/8-foot shadow. Find the height of the hospital
Answer:
meh dont know how to do this tbh
Step-by-step explanation:
Answer:
AHHHHHHHHH
Step-by-step explanation:
(5x+3y) - (2x-7y) +8x
Answer:
11x + 10y
Step-by-step explanation:
find the first term in geometric sequence if the 11th term is -160 and the ratio is -1/3
Answer:
-9447840
Step-by-step explanation:
You want the first term of a geometric sequence whose 11th term is -160 and whose common ratio is -1/3.
N-th termThe n-th term of a geometric sequence is ...
an = a1·r^(n-1)
where a1 is the first term and r is the common ratio.
Using the given values, we have ...
-160 = a1·(-1/3)^(11 -1)
a1 = (-160)·(-3)^10 = -9447840
The first term is -9447840.
Who is your favorite red dead character I need to see if u are smart
Answer: Dutch
Step-by-step explanation: He just needs the money
Answer:
Uncle
Step-by-step explanation:
Jenny calculated the probabilities of pulling chops of different colors out of a bag.
Which color chip is MOST LIKELY to be pulled from the bag?
DON’T ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
I'm really sorry if i am wrong but i think Gold chip is most likely to be pulled from the bag.
Step-by-step explanation:
Let's convert each fraction given to the decimal form:
(Purple) [tex]\frac{1}{5}[/tex] = 0.2
(Gold) [tex]\frac{6}{10}[/tex] = 0.6
(White) [tex]\frac{1}{10}[/tex] = 0.1
(Red) [tex]\frac{2}{20}[/tex] = 0.2
=> since Gold chips' value is the most, the answer would be Gold Chip.
Hope this helps!
Write 162 as a product of primes.
Use index notation when giving your answer.
Hey guys! I need some help
Answer:
D
Step-by-step explanation:
8x+12y-2y+3x=11x+10y
Answer:
answer D
Step-by-step explanation:
8x+12y-2y+3x
11x+ 10y
If 3n+5=23 what is the value of 2n-3
Answer:
3n + 5 = 23,
3n = 18
n = 6
since "n" = 6,
2n - 3
= 2×6 - 3
12 - 3
= 9
please help guys ASAP
Answer:
180
Step-by-step explanation:
You do 24 x 4 + 64 which is = to 176 then rounded is 180
which of the following describes the data set 6,8,13,15,21,23,31 pls help
Answer:
B
Step-by-step explanation:
you can use the process of elimination. For all of the answers the minimum and the maximum are incorrect except for option B.
The four approved methods of document destruction are
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
please help I don't get it NO LINKS or I'll report pls don't answer the question if u don't know
Answer:
1 person got 68 inches
4 persons got 69 inches
2 persons got 70 inches
3 persons got 74 inches
1 person got 76 inches
Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?
O A 24 in. ^2
O B 117 in. ^2
O C 205 in. ^2
O D 322 in. ^2
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
C
Step-by-step explanation:
The cake has a shape of a rectangle prism
first of all we can find the base area, that represents the top of the cake
base area = base x width = 13 x 9 = 117 in^2
Now we have to find the lateral area
base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in
LA = base perimeter x height = 44 x 2 = 88 in^2
total icing surface:
base area + LA = 117 + 88 = 205 in^2
Exercises gives the positions s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds.
a. Find the body’s displacement and average velocity for the given time interval.
b. Find the body’s speed and acceleration at the endpoints of the interval.
c. When, if ever, during the interval does the body change direction?
s = t^2 - 3t + 2, 0 <= t <= 2
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
[tex]v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1[/tex]
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Pls help. Cindi wants to cover the top and sides of this box with glass tiles that
are 1 cm square. How many tiles will she need?
Answer:
300 square centimeters
Surface area of box:
= 2(lb + bh +hl)
= 2(20×15 + 15×9 + 9×20)
= 2(300 + 95 + 180)
= 2 × 575
= 1,150 cm³
Area of tiles:
= 1 × 4 = 4 cm
No of tiles:
= 1,150/4
= 287.5 = 288
Total 288 tiles will be needed
8. If you got 27 questions correct on
a test that has 32 questions, what
percent of the questions did you
correct on the test?
wanza sold a bag of potatoes for sh.420 and made a profit.if she sold it at sh.320 ,she could have made a loss .Given that the profit is thrice the loss ,how much did she pay for the bag of potatoes
Answer:
sh.345
Step-by-step explanation:
The difference between the price selling with profit and price selling at a loss is 420-320 = 100
Profit is thrice the loss says we can take the difference in prices and divide it into 4 parts, x and 3x, representing the loss and thrice the loss, or profit margin.
x + 3x = 100
4x = 100
x = 25
loss would be 25,
profit would be 75
--------------------
sold at a profit: 420 -75 = sh.345
----------------
Does this exercise seem similar to what you're doing in class?