The altitude to the hypotenuse of a right triangle divides the hypotenuse into 15 inches and 30 inch segments. Explain or show how to find the exact length of the altitude including the correct value. Then explain or show how to find the length of each leg including the correct values.
Answers
9514 1404 393
Answer:
CX = 15√2 inches
BC = 15√3 inches
AC = 15√6 inches
Step-by-step explanation:
In this geometry, all of the triangles are similar:
ΔABC ~ ΔACX ~ ΔCBX
Corresponding segments are proportional in similar triangles, so we have ...
AX/CX = CX/BX = (long leg)/(short leg)
Filling in the numbers, we get
30/CX = CX/15
CX² = 15×30
CX = 15√2 . . . . . exact length of the altitude (inches)
__
Similarly, we can form proportions with the legs:
AB/BC = CB/BX
BC² = (BX)(AB) = (45)(15)
BC = 15√3 . . . inches
and
AC/AB = AX/AC
AC² = (AX)(AB) = (30)(45)
AC = 15√6 . . . inches
_____
Additional comment
You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...
altitude = geometric mean of hypotenuse segments
short side = geometric mean of short segment and whole hypotenuse
long side = geometric mean of long segment and whole hypotenuse
__
Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.
Related Questions
geometry solve for x
Answers
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answers
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
HELP!!!! it’s due by 10 am and it’s 9:30am!!!!!!
Answers
Answer:
2010.62
Step-by-step explanation:
the formula to find a cylinders volume is r and h so you just divide 14 and get 8, then you get the 10 and you solve for how you would usually get your cylinder volume. which is V=πr2h=π·82·10≈2010.62
Answer:
V=1539.38
Step-by-step explanation:
V=πr2h=π·7^2·10≈1539.3804
or if you just want shortened version
V=π·7^2·10≈1539.3804
hope this helps!
Monica deposits $300 into a savings account that pays a simple interest rate of %3.3. Paul deposits $400 into a savings account that pays a simple interest rate of %2.8. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answers
Answer: The formula for calculating simple interest is given by :
S.I =
For Monica
S.I = 300 x 3.4 x 1 / 100
S.I = $10.2
For Paul
S.1 = 400 x 2.4 x 1 / 100
S.I = $9.6
Therefore : Monica earned more interest
Step-by-step explanation:
In ANOP, the measure of
Answers
Answer:
37
Step-by-step explanation:
delta math gave me the answer ;)
URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Square Root of 85
Help, I'm confused. Will mark brainliest.
Answers
7
4
6
W
Plsssss I will mark Brainly est
Answers
7
-
24
Explanation
Answer:
7/24
Step-by-step explanation:
(There are many methods to divide fractions, but this is the easiest one in this situation)
7/6 ÷ 4
Dividing something by four is the same as dividing by 4/1, which is the same as multiplying it by 1/4.
So,
7/6 * 1/4
Multiply the denominators.
7 / 24
Hope this helps! Feel free to ask any questions! :)
(Honestly, this problem wasn't much of a hassle, so I don't think I really deserve Brainliest. Keep it!)
A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.
Answers
Answer:
should be either b or c
Step-by-step explanation:
Answer:
Mean: 4.6666666
Mode: 5.5
Range: 6
75%
Step-by-step explanation:
Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?
Answers
Max and Zoe collected 33 pieces of garbage from the beach. Zoe collected twice as many pieces of garbage as Max. How many pieces of garbage did Zoe collected?
Answers
Answer:
beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.
Jean junction is selling jeans at 12% off the regular price. The regular price is $32.00 per pair. What is the discount amount
Answers
PLEASE HELP ME I NEED HELP RIGHT AWAY AND YOU MUST EXPLAIN!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answers
Answer:
So it's either 12.1
Step-by-step explanation:
So you must multiply them to get the answer cause it tells how much fiction books are in there, and It 55% of the total so to find the total you must multiply them.
But if you have a percent you have to make that into a decimal. So 55% will be 55/100 so that's .55, so all you have to do now is multiply them.
Answer: 40 books
Step-by-step explanation:
First divide 22/55 then multiply the product by 100.
22/55= 0.4
0.4*100=40
Hope this helps u Emilee :)
16 multiplied by half a number
Answers
Which expression shows four times eight to the fifth?
Answers
Answer:
C. Four times eight to the fifth.
Step-by-step explanation:
A. is four times TIMES 5 (Incorrect, NOT the answer)
B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)
C. Is 4 times eight to the fifth (CORRECT, is the answer.)
D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)
I Hope This Helped! :)
How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each labeled 1. The second consists of 2 rectangles each labeled c. The third consists of 2 squares each labeled 1. The fourth consists of one rectangle labeled c.
Answers
Based on the description of the diagram, we get simplified expression is 6 + 3c.
Describe Algebraic Expression?An algebraic expression is a mathematical phrase that consists of variables, constants, and arithmetic operations (such as addition, subtraction, multiplication, and division), as well as exponentiation and roots. These expressions are used to represent mathematical relationships and formulas in a concise and standardized way.
Based on the description of the diagram, we can simplify the expression as follows:
There are 4 squares labeled 1, so their total value is 4.
There are 2 rectangles labeled c, so their total value is 2c.
There are 2 squares labeled 1, so their total value is 2.
There is 1 rectangle labeled c, so its value is c.
Therefore, the expression represented by the diagram simplifies to:
4 + 2c + 2 + c
6 + 3c
So the simplified expression is:
6 + 3c.
To know more about expression visit;
https://brainly.com/question/24242989
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Eva has 4 apples she cuts each apple in ⅓ and shares it with 3 friends how many slices does each friend get?
Answers
Answer:
4
Step-by-step explanation:
one apple is cut into 3 pieces
Number of apples = 4
Number of apple pieces = 4 * 3 = 12 pieces
Number of piece that each friend get = 12 ÷ 3 = 4
Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts
Answers
Answer:
2
Step-by-step explanation:
Arianas goal is to reach $600 the first week she raises 30% of $600 .The second week she raises 50% of the $600 How much money does Ariana raise in the first two weeks?0
Answers
Answer: The amount raised by Ariana in the first two weeks =$480
Step-by-step explanation:
Given: The first week she raises 30% of $600 .
The second week she raises 50% of the $600.
Amount raised in the first week = 50% of $600
= 0.50 x 600
= $ 300
Amount raised in the second week = 30% of $600
=0.30 x 600
= $180
The amount raised by Ariana in the first two weeks = $300+$180
= $480
Hence, The amount raised by Ariana in the first two weeks =$480
Solve the following system
y=1.6x
2x + 2y = 86
Answers
Answer:
The answer is (16.538461(repeated), 26.461538(repeated))
Answer:
x=16.538462 and y=26.461538
Solve for x in the diagram * 10 POINTS HELP*
Answers
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
Help me plsssssssssssssssssssssssssss
Answers
Answer: 37 cm^2
Step-by-step explanation:
Break the shape into two recognizable shapes. In this case a triangle and a square. To find area of a triangle use Area= 1/2 base x height. To find area of a square use Area = length x width. Then add the two together.
Q
is the midpoint of PR¯¯¯¯¯¯¯¯
. If PQ=4x+5,
andQR=2x+25
, what is the value of x
Answers
Answer:
x = 10
Step-by-step explanation:
Q is the midpoint of PR: PQ = QR
4x + 5 = 2x + 25
2x = 20
x = 10
Rearrange x=3g+2 to make g the subject
Answers
Step-by-step explanation:
Given
x = 3g + 2
Making g as a subject then
3g = x - 2
g = ( x - 2 ) / 3
Hope it will help :)❤
Answer:
g=(x-2)/3
Step-by-step explanation:
A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
55135 lbs (rounded to the nearest pound)
Step-by-step explanation:
diameter of tank = 15 ft
Radius = 15/2 =7.5
volume of hemisphere = 2/3 ×π× 7.5³=883.5729
total weight of water = 62.4 × 883.57 = 55134.768
55134.768 rounded to the nearest pound is 55135 lb
♥ Hope this helped ♥
What is the measure in degrees of angle (3x-13)°
Answers
Answer:
180
Step-by-step explanation:
x+10, 2x+15, and 3x-13. what are the degree measures of the angles of the triangle? The sum of the measures of the angles of triangle = 180 degrees.
Kenneth has 45 Pokemon cards. He gave 3/9 of his cards to his friend as a random act of kindness. How many cards did he give his friend? m
Answers
Answer:
15 pokémon cards
Step-by-step explanation:
45*3 /9= 135/9 = 15
Or you can simplify
3/9=1/3
45*1/3=15
Answer:
15
Step-by-step explanation:
45/9=5 5*3=15
I divide 45 by 9 to see how much card 1/9 is
Find the area of the
trapezoid (explain ur answer)
Answers
Answer:
49
Step-by-step explanation:
8*7=56
7*6=42
56+42=98
98/2=49
Help ASAP! Thanks
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answers
Answer: i think its 17
Step-by-step explanation:
What does the remainder tell you about the
relationship between the dividend and the divisor when dividing polynomials?
Answers
Answer:
The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)
Step-by-step explanation:
I hope this helped