Answer:
Step-by-step explanation:
Use Pythagorean Theorem for a right triangle.
a^2 + b^2 = c^2
3.6^2 + 4.8^2 = c^2
c = 6cm
The length of y (Hypotenuse) is 6 cm.
We have,
Perpendicular = 3.6 cm
Base = 4.8 cm
Hypotenuse = y
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
So, y² = 4.8² + 3.6²
y²= 23.04+ 12.96
y²=
y= √36
y= 6 cm
Thus, the value of y (Hypotenuse) is 6 cm.
Learn more about Pythagoras theorem here:
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A series of maths books consists of four volumes. The first has x pages and the second has 54 more. The third and fourth volumes have 32 more pages than the second volume. The number of pages of all volumes is 866. Calculate the number of pages in each volume.
Answer:
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
Step-by-step explanation:
Given that:
Number of volumes = 4
1st volume = x pages
2nd volume = 54 more = x + 54
3rd volume = 32 more = x + 54 + 32
4th volume = 32 more = x + 54 + 32
Total number of pages = 866
Hence,
1st + 2nd + 3rd + 4th = 866
x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866
4x + 226 = 866
4x = 640
x = 160
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
X Squared - 2x - 24 = 0
Answer:
x=−4 or x=6
Step-by-step explanation:
The circumference of a circle is 137 m. Find its diameter, in meters.
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
help pls with question
Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
can anyone help me with this please marking brainly :)
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
Which expression is equivalent to -2v+(-4)+8+(-3v)?
Answer:
5v+4
Step-by-step explanation:
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load.Part AHow many shifts must you work if you wish to wash 10 loads of laundry
Answer:
2 shifts
Step-by-step explanation:
Amount earned washes dishes = 12 dollars / hour
Shift duration = 75 minutes
Cost of laundry = 12 quarters per load
Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters
1 quarter = 25 cents
120 quarters = (25 * 120) = 3000 cents
100 cents = $1
3000 cents = 3000/ 100 = $30
Hence, to make $30 from washing dishes :
$12 = 1 hour
$30 = x
x = 30 / 12
x = 2.5 hours
1 shift lasts 75 minutes
2.5 hours = (2.5 * 60) = 150 minutes
150 / 75 = 2 shifts
PLEASE HELP ASAP THIS IS DUE SOON
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink
Answer:
h = $1.50
d = $1.25
Step-by-step explanation:
$1.50 + $1.50 = $3 + $1.25 = $4.25
$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7
Answer:
2h + 1d = 4.25
3h + 2d = 7.00
Step-by-step explanation:
-3(2h + 1d) = -3(4.25)
2 (3h + 2d) = 2(7.00)
-6h - 3d = -12.25
6h + 4d = 14
if we add them together we get D = 1.75
Checking:
2h + 1(1.75) = 4.25
2h + 1.75 = 4.25
2h = 2.5
h = 1.25
1.25 times 2 plus 1.75 = 4.25
Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 16 inches long. What is the side length of each piece?
To do this problem you would need to have at least one side length AND the hypotenuse to figure out the other side length.
Identify the place value of the digit 5 in the following whole number 905
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
130 is a 13.333% or 13% decrease of 150.
Ally made 60 donuts on Friday. She made 3x donuts on Wednesday and 2x donuts on Thursday. How much donuts did she make in all?
Answer:
Step-by-step explanation: 60 x 3= 380
2 x 60= 270
270 + 380= 810
1/10 times 5/6 please help me
Answer:
1/10 x 5/6 = 5/60 or 1/12
Step-by-step explanation:
multiply the denominator and numerators. If it is needed to be simplified,
find the gcf of 5 and 60. That would be 5. So divided 5/60 by 5. This would be your final answer of 1/12.
Have a nice day, and I hope this helps you!
-KindnessMatters-
A cylinder has a volume of 72 pi cubic inches. If the radius is 3 inches what is the height
Answer:
24
Step-by-step explanation:
common sense
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is y 0 1 2 3 4 p(y) 0.50 0.20 0.15 0.10 0.05 Suppose an individual with Y violations incurs a surcharge of 100Y 2 . Calculate the expected amount of the surcharge
Answer:
1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
2) The expected amount of surcharges is $250
Step-by-step explanation:
Given that;
Y 0 1 2 3 4
p(y) 0.50 0.20 0.15 0.10 0.05
1)
Value of E(Y)
E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)
= 0 + 0.20 + 0.3 + 0.3 + 0.2
E(Y) = 1
Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
b)
Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,
E($100Y²) = 100E(Y)²
= 100∑Y²P(y)
= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)
= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )
= 100(2.5)
= $250
Therefore; The expected amount of surcharges is $250
Help please ASAP
In Problems 41-52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to
the x-axis, the y-axis, the origin or none of these.
41. A
42. A
43. B
44. B
45. A
46. A
47. B
48. A
49. A
50. A
51. B
52. B
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Given the following sets, find the set .
U{1, 2, 3, . . ., 7}
A{1, 3, 4, 5}
B{2, 3, 5}
C{1, 2, 3, 4, 6}
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function
Answer:
400
Step-by-step explanation:
What is the perimeter of the figure
Answer:
38m
Step-by-step explanation:
the top side is equal to
2 + 5 + 1 = 8
the perimeter:
9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38
Leo traveled to the store at a constant speed, and when he returned, he graphed his motion to show the distance he traveled compared to the time he traveled. Which graph could Leo use to show his trip to the store
Answer:
A
Step-by-step explanation:
Took the test
Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.
Answer:
398 ft
Step-by-step explanation:
HELP PLEASE HELP PLEASE
Answer:
a: about 800? nonfiction books in valley
b: valley and central has more fiction than nonfiction books
c: there's probably about 2600 books in hillside
Step-by-step explanation:
Happy black history months!!!!!!!
Answer:
Thank You!
Step-by-step explanation:
Answer:
Happy black history months!!!!!!!
to you too
Step-by-step explanation:
GIVING BRAINLIEST! AND 20 POINTS!
The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?
Answer:
4.1
Step-by-step explanation:
Divide 1.2 and 2.3
Find the midsegment.
Answer:
14
20+8=28/2
your welcome
A car goes 50 miles in 40 minutes. What is the speed of car in miles per minute?
Answer:
1.25miles per minute
Step-by-step explanation:
Answer:
Use the formula Speed=distance/ time. In this case you dont need to convert the time to hours so you would do 50/40 which equals 1.25 miles per minute. :)
Step-by-step explanation: