Answers
12^2+x^2=15^2
144+x^2=225
X^2=225-144
X^2=81
X=9
ad=9
ac=ad+dc
ac=9+16=25
Answer:
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
In triangle,ADB
p(perpendicular)=BD=12 cm
h(hypotenuse)=AB=15cm
b(base)=AD=??
Let the AD be x
Using Pythagorean theorem,
[tex]{p}^{2} + {b}^{2} = {h}^{2} \\
=>{12}^{2} + {x}^{2} = {15}^{2} \\
=>144+{x}^{2}=225\\
=>{x}^{2}=225-144\\
=>{x}^{2}=81\\
=>x= \sqrt{81} \\
=>x= \sqrt{9×9} [/tex]
Hence,x=AD=9
So,AC=AD+DC=9+16=25.
Related Questions
One lap around the track at Kathleen’s school is 0.4 kilometer. If Kathleen ran 3.5 laps, how many kilometers did she run?
1.2 kilometers
1.4 kilometers
12.0 kilometers
14.0 kilometers
Answers
explanation:
multiply 3.5 (how many laps she ran) by .4 (how long each lap is) to get the answer
What is constant of proportionality represented in the graph?
4/3
3/4
1/3
4/1
Answers
Answer:
In a proportional relationship (line through the origin), the proportionality constant is y/x for any chosen point (x,y) on the graph with x nonzero.
The table shows the participation in a school's debate club during the last four years.
Year 1 2 3 4
Students 14 19 25 33
Between which two years did the club see the greatest growth? By what percent did it grow?
A. The greatest growth was between years 3 and 4. The growth between those years was about 32%.
B. The greatest growth was between years 1 and 2. The growth between those years was about 5%.
C. The greatest growth was between years 3 and 4. The growth between those years was about 8%.
D. The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Answers
Answer:
D
Step-by-step explanation:
19 - 14 = 5 / 14 x 100 = 35.714 > 36%
The other values by calculating the percent increase were
(from 2-3) = 31.57%
(from 3-4) = 32%
Greatest growth was between years 3 and 4. The growth between those years was about 32%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given table is participation in a school's debate club during the last four years.
Year 1 2 3 4
Students 14 19 25 33
We need to find between which two years did the club see the greatest growth.
From year 1 and 2 the growth is increased by 5 (19-14)
year 2 and 3 the growth is increased by 6 (25-19)
year 3 and 4 the growth is increased by 8 (33-25)
So between 3 and 4 there is greatest growth.
Now let us find the percentage of the growth.
33-25/25
0.32×100
32%
Hence, greatest growth was between years 3 and 4. The growth between those years was about 32%.
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Your friend washed 3/4 of the car in 1/2 of an hour. She says her answer means she can wash 6 cars in 4 hours. Is her answer written as a unit rate? Her work: 3/4÷1/2= 3/4●2/1= 6/4 Select all that apply.
A) Yes, it is correct.
B) No it is not correct.
C) The correct unit rate is 3 cars in 2 hours
D) The correct unit rate is 1 1/2 cars in one hour.
E) The correct unit rate is 2/3 cars in one hour.
F) The correct unit rate is 2 cars in 3 hours.
Answers
Answer:
The correct answer is E.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
A line is represented by the equation y=3/8x+1. what is the slope of the line?
Answers
Answer:
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Step-by-step explanation:
the equation is in slope intercept from (y= mx +b) mx= slope b= y intercept
Answer: 3/8
Step-by-step explanation:
In slope-intercept format (y = mx+b), your m will be your slope so in this case you have y = 3/8(m)x + 1(y-intercept)
a tv has an original price of $399. enter the new price after the given percent of change.
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Answers
Answer:319
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
the Answerr is 60+7 right
Step-by-step explanation:
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Step-by-step explanation:
f(x)=2x-3, if 6-f(5)
Answers
Answer:
x= -3/4
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Convert 6 and 3/5 to an improper fraction.
Answers
Answer: 33/5
Step-by-step explanation:
6 x 5 = 30
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Answer:
33/5
Step-by-step explanation:
To convert 6 3 /5 to an improper fraction begin by multiplying the whole number by the denominator
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33 /5
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Answer:
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Step-by-step explanation:
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Answers
Answer:
The answer is 13 because you are a trying to put the letters alone and when you do that you eventually get 13
Joan receives a 4% commission on the merchandise she sells in a department store.
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Answers
Answer:
C = .04 sales
Step-by-step explanation:
Hope this helps dude ^-^
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ANSWER FAST PLZZZZZZZWhich expression can be used to find the value of the expression below?
Answers
the answer is c
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The high school's lunch menu repeats every 6 school days. The middle school lunch menu repeats every 8 school days. On March 5th, both schools served chicken wraps.
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Answers
Answer:
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Step-by-step explanation:
Come up with 3 real life problems about pi/circle circumference. Please help this is due at 11:59 pm
Answers
Answer:
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Step-by-step explanation:
Answer: Some examples of daily uses of Pi:
Electrical engineers used pi to solve problems for electrical applications.
Statisticians use pi to track population dynamics.
Medicine benefits from pi when studying the structure of the eye.
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___________________________
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When juggling, a ball travels in a complete circle would the ball travel in two minutes
Answers
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Answers
Answer:
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Step-by-step explanation:
Given f(x) = 4x − 6 and g(x) = f(2x),
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Answers
Answer:
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Step-by-step explanation:
Fx equals 4x-6
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6 equals 4X
Divide both sides by 4
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Two times 2/3 is 1 and 1/3
There are 17 adult dogs and 8 puppies at the dog park. Which statement is correct?
A. The ratio of adult dogs to puppies at the park is 8:17
B. The ratio of adult dogs to all dogs at the park is 17:8.
C. The ratio of puppies to adult dogs at the park is 5:8.
D. The ratio of puppies to all dogs at the park is 8:25.
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Answers
Answer:
i believe d is the correct answer.
Step-by-step explanation:
it states the ratio of puppies to all dogs is 8:25. this is shown by including the puppies first which is 8 and the amount of all dogs which is 25 or (8+17).
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Answers
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Answers
Answer:
the answer is D
Step-by-step explanation:
Answer:
Step-by-step explanation:
the correct nswer is A
Each day, a bakery makes 50 loaves of
wheat bread. If that amount is 20%
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many loaves do they bake each day?
Answers
x =100%
50*100=5,000
20*x=20x
5,000/20=250
Answer: 250 loaves of bread
What is the length of a line of 1 million centicubes? Write your answer using as many conventional units of measure as possible.
Answers
Answer:
1000000 centimetre
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Step-by-step explanation:
5 times as much as 16 diveded by 8
Answers
The answer for this is 10
Answer:
5 x 16/8 or, 5 x 2 = 10
Step-by-step explanation:
When using vocabulary, you can tell that 16 is being divided by 8 and then, that quotient is then multiplied by 5.
Vocab:
times: x
as much as: to next number
divided by: x/y
Each sentence shows the number of pages a student reads a book and the amount of time it takes to read those pages.
Answers
Jeff read 21 pages in one hour.
Kaley read 37 pages in one hour.
Nikkia read 22 pages in one hour.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
To find out how many pages each person reads in one hour, we can use the unit rate, the number of pages read per hour.
Jeff read 10(3/4) pages in 1/2 hour.
To find out how many pages he would read in one hour, we can multiply the number of pages he read by the fraction 2/1, which gives:
= 10(3/4) x 2/1
= 21 pages per hour
Jeff read 21 pages in one hour.
Kaley read 12(1/4) pages in 1/3 hour.
To find out how many pages she would read in one hour, we can multiply the number of pages she read by the fraction 3/1, which gives:
= 12(1/4) x 3/1
= 37 pages per hour
Kaley read 37 pages in one hour.
Nikkia read 13(1/2) pages in 3/5 hours.
To find out how many pages she would read in one hour, we can multiply the number of pages she read by the fraction 5/3, which gives:
= 13(1/2) x 5/3
= 22 pages per hour
Nikkia read 22 pages in one hour.
Thus,
Jeff read 21 pages in one hour, Kaley read 37 pages in one hour, and Nikkia read 22 pages in one hour.
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3. The points (15,21) and (25,35) form a proportional relationship.
a) Find the slope of the line through the points.
b) Which graph represents this relationship?
Answers
Answer:the letter is c because it the only one that is lined up and I got it right trust me
Step-by-step explanation:
The slope of the line passing through (15,21) and (25,35) is 7/5.
What is slope?The slope of a line is a measure of its steepness.
Given that, the points (15,21) and (25,35) form a proportional relationship.
Slope = (y2-y1)/(x2-x1)
= (35-21)/(25-15) = 14/10 = 7/5
The equation of a line passing through these two points are;
y - y1 = [(y2−y1)/(x2−x1)](x - x1)
y - 21 = 7/4(x - 25)
y = 7x/4 - 14
Hence, the slope of the line = 7/5
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