Can someone please help? This is due soon and I have no clue how to do it. Can someone please explain how to do this?
Answers
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
_____
Additional comment
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)
__
There are two other "geometric mean" relationships in this triangle.
The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Related Questions
i need help can someone explain this simply
Answers
What term describes a solution at standard temperature and pressure that is holding the maximum amount of solid that it can before it precipices out.
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Simplify the following rational expression.
20k^4 – 26k^3/12k^4 + 8k^3
Which values of k: make the expression undefined?
Please help ASAP
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Answer:
dont know how to solve.
Step-by-step explanation:
sorry
Answer: 1.60000512 * 10^17
Step-by-step explanation:
What is the answers to 12M+7+M+20
Answers
Answer:
13M+27
Step-by-step explanation:
Answer:
13m +27
Step-by-step explanation:
12M+7+M+20
=12M+M+7+20
=13M+7+20
=13M+27
Question 3
The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions
of a TV are 16 inches by 12 inches, what size is this TV?
Answer
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Answer:a
Step-by-step explanation:
It’s an step by step problem
(giving brainiest)
real quick one should take someone around 5-7-10 minutes it really depends!
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Answer:
Step-by-step explanation:
E
what is 4[tex]x^{2}[/tex]-12x+9=0
Answers
Answer:
Step-by-step explanation:
Answer: x = 1.5
Step-by-step explanation:
Help me with this!! Will mark Brainliest!!!
Answers
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
A jar contains only pennies, nickels, dimes, and quarters. There are 23 pennies, 22 dimes, and 20 quarters. The rest of the coins are nickels. There are 79 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
Answers
Answer:
1. 65 coins
2. 79 - (23 + 22 + 20) = n
Step-by-step explanation:
You can use the expression 23 + 22 + 20 to get the amount of coins that are not nickles. And for two? Try it yourself.
Hope this helps. Have a nice day.
Map quadrilateral ABCD to quadrilateral A′B′C′D′ with a rotation of 180° about the origin followed by a translation 3 units left and 7 units up.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
Shape: Quadrilateral ABCD
Transformations:
180 degrees rotation
3 units left
7 units up
Required
Determine A′B′C′D
The coordinates of ABCD is not given; So, I will solve generally.
Assume the coordinates of ABCD is (x,y)
When (x,y) is rotated 180 degrees, the new point is: (-x, -y)
Solving further:
Translation 3 units left
When a point (x,y) is translated b units left, the new point is (x - b, y).
So:
[tex](-x, -y) ====> (-x - 3, -y)[/tex]
Translation 7 units up
When a point (x,y) is translated h units up, the new point is (x, y + b).
So:
[tex](-x - 3, -y) ====> (-x - 3, -y + 7)[/tex]
Assume that the coordinates of A in ABCD before translation is (2,6).
i.e. A = (2,6)
The image A' will be:
[tex]A' = (-2-3,-6+7)[/tex]
[tex]A' = (-5,1)[/tex]
For positive acute angles A and B, it is know that tan A= 8/15 and sin B= 11/61. Find the value of cos (a+b) in simplest form
Answers
Answer:
812/1037
Step-by-step explanation:
To solve this, we have to use trigonometric identities.
Cos (A + B) is given as Cos A Cos B - Sin A Sin B. And from the question, we have that
Tan A = 8/15.
We know that in a triangle, the Tan angle is represented Opp/Adj and thus the Opp is 8, and the Adj is 15. Using Pythagoras, we have
hyp² = opp² + adj²
hyp² = 8² + 15²
hyp² = 64 + 225
hyp² = 289
hyp = √289 = 17
The identity of Cos is Adj/Hyp and that of Sin is Opp/Hyp.
Cos A = 15/17
Sin A = 8/17
Repeating the same process for B, we have
Sin B = 11/61
adj² = hyp² - opp²
adj² = 61² - 11²
adj² = 3721 - 121
adj² = 3600
adj = √3600 = 60
Cos B = 60/61
Now, using the earlier stated trigonometric identity, we have
cos (a + b) = CosA CosB - SinA SinB
cos (a + b) = 15/17 * 60/61 - 8/17 * 11/61
cos (a + b) = 900/1037 - 88/1037
cos (a + b) = 812/1037
Alex can shovel the driveway in 45 minutes if he works alone. Alex and Luisa can shovel the driveway in 20 minutes if they work together. According
to this equation, Luisa can shovel the driveway in minutes if she works alone,
How many minutes would it take Luisa to shovel the driveway if she works alone?
Answers
Answer: it would take her 25 minutes I believe
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.
Answers
Answer:Number of coins that are quarters =60
Step-by-step explanation:
Total coins in possession of Eric=240
Number of coins that are pennies=11\20 x 240= 132
Number of coins that are nickels=4\20 x 240= 48
Since the rest are quarters,
Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)
=240-(132+48)
=240-180
=60
Please help with #17 & #18 really struggling!
Answers
what is the area of this figure
Answers
Answer:
174.5m
Step-by-step explanation:
So we have to break the shapes down to triangle, rectangle and the small rectangle
Area of rectangle=WxL
Area of triangle= (BxH)÷2
triangle=
(23x11)÷2
=253÷2
=126.5m
rectangle=
9x19
=28m
square#2(the small one)=
5x4
=20m
All:
20+28+126.5
=174.5m
Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?
Answers
Answer:
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
Step-by-step explanation:
Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?
Let us represent.
The amount of money
Elsa = x
Hans = y
Charlie = z
Elsa, Hans, and Charlie have a total of $106 in their wallets.
= x + y + z = 106
Hans has $6 less than Elsa.
y = x - 6
Charlie has 2 times what Hans has.
z = 2x
Hence:
x + x - 6 + 2x = 106
4x - 6 = 106
4x = 106 + 6
4x = 112
x = 112/4
x = 28
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
WILL GIVE BRAINLIEST
Answers
The answer is 7 !
Step-by-step explanation:
25 + 5 + 5 + 5 + 5 + 5 + 5 +5 =60
Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm
Answers
The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.
How to determine the perimeter and the area of the figure
In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Where:
b - Baseh - HeightA - AreaAnd the perimeter and the area of the composite figure are now computed:
Perimeter
p = 6 cm + 7 cm + 6.5 cm + 9.5 cm
p = 29 cm
Area
A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)
A = 7.5 cm² + 42 cm²
A = 49.5 cm²
To learn more on composite figures: https://brainly.com/question/23082031
#SPJ1
solve for x then, find m < FDG and m <GOF.
Answers
Answer:
choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180°
6x + 18 = 180
6x = 162
x = 27
∠FDG = 2(27) + 8 = 62°
∠GOF = 4(27) + 10 = 118°
Find the value of the lettered angles in each of the following ( see image ).
Please show workings.
The only given Angles are 40° , 60° , 10°
Answers
Answer:
Same arc intercepted, the angles are equal
t = 10°u = 60°v = 40°Cyclic quadrilateral has supplementary opposite angles
s + v + 60° + 10° = 180°s + 40° = 110°s = 70°And s and r intercept same arc, therefore:
r = s = 70°can someone help please
Answers
Answer:b
Step-by-step explanation:
Combine like terms
C + 11d + 7c - 4d
Answers
is the correct combination of terms
8c+7d or 7d+8c
3 over 9 + 2 over 3
Answers
Answer:
1
Step-by-step explanation:
3/9 is equal to 1/3 so 1/3+2/3= 3/3 making it 1 whole
Answer: 3/9+2/3=1
3/2
+ 2/3
____
1
natasha bought a tennis racket that was marked down by price, p, by 20%
Part A
Write an expression with two terms representing the price Natasha paid
Part B
If the racket was originally priced at $125, how much did Natasha pay?
Natasha paid______ PLEASE SHOW YOUR WORK
Answers
Answer:
$20
Step-by-step explanation:
125 * 20%(0.2)
= $20
___________
125 - 20% = p or 125 - 0.2 = p
Simplify the following surd expressions
a) 5√5 - 2√5
b) 8√7 + 3√7
Answers
Answer:
a)3√5
b)11√7
is answer.
Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79 (Find the cost per pound if it is the same for both types of bird seed)
Answers
Answer:
Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.
Answer:
$2.92 would be the cost per pound
QUESTION : A family of four went out to dinner. Their bill came to $156.98 and they want to leave a 15% tip. How much the tip will be?
please help!!!!
Answers
Answer:
tip = $23.55
Step-by-step explanation:
156.98 x 0.15 = 23.55
The average person blinks about 9 times per minutes. At this rate, about how many blinks does the average person take in 30 minutes?
Answers
Answer:
270 blinks in 30 minutes
Step-by-step explanation:
9 x 30 = 270
hope this helps :)
A number m increased by 5 is 7
Answers
Answer:
m+5=7
Step-by-step explanation:
a number=m
increased by 5= +5
is 7 = =7
(a number) 5 (increased by 5) +5 (is 7) =7
5 +5 =7
6.) *
Is the sequence arithmetic? If so, find the common difference.
2.1, 7.5, 12.9, 18.3
no, 3.5
no, 5.1
yes, 9.6
yes, 5.4
Answers
Answer:
the common difference is 5.4 and yes, this is an arithmetic sequence
Step-by-step explanation:
Each new term is derived by adding 5.4 to the previous term:
2.1 + 5.4 = 7.5,
7.5 + 5.4 = 12.9,
and so on,
so the common difference is 5.4 and yes, this is an arithmetic sequence.
