the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           


Related Questions

Lesley purchased 5 beads at a total cost of 80 cents. The round beads cost 15 cents each, and the oval beads cost 20 each. The equations and graph below can be used to determine the number of each type of bead kesley purchased. Where x represents the number of round beads and y represents the number of oval beads. What are the numbers of round and oval beads Kelsey purchased?

Answers

Answer:

Lesley purchased 1 oval bead and 4 round beands.

Step-by-step explanation:

Given that Lesley purchased 5 beads at a total cost of 80 cents, and the round beads cost 15 cents each, and the oval beads cost 20 each, to determine what are the numbers of round and oval beads Kelsey purchased, the following calculation must be performed :

5 x 0.20 + 0 x 0.15 = 1

4 x 0.20 + 1 x 0.15 = 0.95

2 x 0.20 + 3 x 0.15 = 0.85

1 x 0.20 + 4 x 0.15 = 0.80

Therefore, Lesley purchased 1 oval bead and 4 round beands.

Lorena runs a landscape company. A customer wants her to plant 10 trees, but the trees have to be planted in rows with 4 trees in each row. What shape will the trees be planted in?

Answers


There are several shapes that fulfill these requirements. All involve to parallel rows of 4, then the other two trees forming a perpendicular for (using a tree from each of the other two rows).
E.g.

X X X X
X X X X
X
X

X X X X
X
X
X X X X

X X X X
X
X X X X
X

Find the median of the data in the dot plot below.
chocolate chips

look in the file for the question

Answers

Answer:

6

Step-by-step explanation:

The median is the central number of a data set. To the left of 6, there are 5 data points. To the right of 6, there are also 5 data points. This means that 6 is the median.

Answer:

6

khan approved, it right.

A box of cupcakes feeds 5 people. If you are having a party and invited 148 people, how many boxes of cupcakes would you need to buy?
LABEL AND PLZZ HURRY UP!!!

Answers

Answer: 30 boxes of cupcakes

Step-by-step explanation:

Answer:

yea top is right i 29.6 estimate yea 30

Mathematics question

Answers

Step-by-step explanation:

area of rectangle (a1)=b×h

20×30600in²

area of triangle=1/2 ×b×h

1/2×40×30600in²

total area of arrow=a1+a2

600+6001200in²

stay safe healthy and happy.

Answer:

Step-by-step explanation:

You will find authentic some of the areas of 3 shapes, two of them are triangles, and one is rectangle.

The formula for calculating the area of right angle triangle is A= 1/2bh

The formula used to find the area of rectangle is A= W×L

A1+A2+A3

= 1/2b1h1+ 1/2b2h2+ W×L

1/2(10inches)(30inches)+ 1/2 (10 inches)(30 inches)+ (30 inches)(20 inches)

=150 inches²+ 150 inches²+ 600inches²

=900 inch²

A $650 cellphone was
discounted 15%. What is the
total cost of the cellphone?

Answers

Sale Price = $552.5 (answer). This means the cost of the item to you is $552.5. You will pay $552.5 for a item with original price of $650 when discounted 15%. In this example, if you buy an item at $650 with 15% discount, you will pay 650 - 97.5 = 552.5 dollars.

Source - percent-off.com

Answer:

552.5 dollars.

Step-by-step explanation:

Solve for x. please help as fast as possible

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

6x=36

÷6 ÷6

x=6

hope this helps,have a great day!!

~Pinky~

HELP ASAP I WILL MARK BRAINLIEST!!!
Find the volume of the following
square pyramid.
5 cm
5 cm
5 cm
V = [?] cm
23
Round to the nearest tenth.

Answers

Answer:

41.7

Step-by-step explanation:

V = 1/3*a^2*h

Answer:

41.67 (42 cm^3)

Step-by-step explanation:

I used volume method and got that answer

Find the median of the following set of data.
23, 50, 49, 48, 49, 32, 37, 40, 41, 42, 41, 41, 43

Answers

Answer:

41

Step-by-step explanation:

Maria goes on a shopping trip to get ready for her vacation. She loads her cart with a bathing suit for $15.00, a sun hat for $8.00, magazines for $8.00, and a beach towel for $7.00. When she gets to the register, she realizes she only has $20.00 in her pocket.
Use the passage to answer the question.
If Maria decides to purchase the sun hat and towel, what is the opportunity cost of her purchase? Select all that apply.
A. the sun hat
B. the towel
C. the magazines
D. the bathing suit

Answers

Answer:c
The cost with the sun hat and towel is 15 so add that with the magazines That will give u 23$ thats the best opportunity

What is the source of the energy for the circled movement of water?
I’ll mark brainliest

Answers

The water cycle maybe?

What value of c makes x2+6x+c a perfect square trimonial

Answers

Answer:

9

Step-by-step explanation:

To solve this just take b (in this case 6x) divide it by 2 and then square it

which means that c=9

this will factor to (x+3)²

Can someone help math is sum else

Answers

Answer:

B

Step-by-step explanation:

Symmetric means one side looks the same as another side such as a square. It isn't symmetric because the other side doesn't have the same side as the other so it isn't bell shaped and isn't symmetric

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

B. Not symmetrical, not bell-shaped

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Step-by-step explanation:

54^2 + a^2 = 90^2

2916 + a^2 = 8100

a^2 = 8100 - 2916

a^2 = 5184

take the square root of 5184

a = 72

you could have also guessed that its a 3 4 5 right triangle

all the sides are multiples of 3 4 or 5

A and B are complementary to each other. If m∠A = 26° + x and m∠B = 38° + x, what is the value of x?
A.13°
B.14°
C.58°
D.18°

Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S Complementary angles add up to 90 degrees

Answers

A. 13

Step-by-step explanation:

What we are given....

∠A = 26° + x

∠B = 38° + x

∠A and ∠B are complementary

If complementary angles add up to equal 90° and ∠A and ∠B are complementary to each other

Then 26 + x + 38 + x = 90

                      ^ ( Note that we just created an equation that we can use to                              solve for x )

Now its just basic algebra

26 + x + 38 + x = 90

step 1 combine like terms

26 + 38 = 64

x + x = 2x

we now have 64 + 2x = 90

step 2 subtract 64 from each side

64 - 64 cancels out

90 - 64 = 26

we now have 26 = 2x

step 3 divide each side by 2

26 / 2 = 13

2x / 2 = x

we're left with x = 13

A firefighter is on the fifth floor of an office building. She needs to throw a rope into the window on the seventh floor, 40 feet above her. If she throws the rope upward with an initial velocity of 36 ft/s, will the rope get to the window.

Answers

Answer:

no, it wont

Step-by-step explanation:

2g.h = v²

2(33)(40) = v²

2640=v²

v=√2640 = 51.38 ft/s

36 < 51.38

so, the rope will not get to the window

How do I solve this?

Answers

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:


11. Eddie is baking cupcakes. He has 7.5 cups of sugar. Each batch of cupcakes requires 0.75 cup of sugar. How many full
batches of cupcakes can Eddie make

Answers

Answer:

10

Step-by-step explanation:

7.5/0.75=10

Answer:

10

Step-by-step explanation:

Find the probability of rolling an even number on a standard number cube.
A.certain
B.impossible
C.Ounlikely
D.as likely as not
E.likely

Answers

Answer:

D as likely as not.

Step-by-step explanation:

......

Answer:

D. as likely as not

Explanation:

P (even number) = 3/6 = 1/2

⇒ as likely as not

solve 1/4 n + 7 = 10 what n= ?​

Answers

n=12

1/4n = 10-7
1/4n = 3
N = 3x4 = 12

Answer:

n=12

Step-by-step explanation:

1/4n+7=10

n+28=40

n=12

What is the diameter of a hemisphere with a volume of 5990in^3 to the nearest tenth of an inch?

Answers

Answer:28.4

Step-by-step explanation:

Delta Math

The diameter of the asked hemisphere is 28.38 in.

What is hemisphere?

The half of a sphere is called a hemisphere.

Given that, a hemisphere with a volume of 5990 in³

Volume of a hemisphere = 2/3πr³

2/3πr³ = 5990

r³ = 5990x7x3/22x2

r³ = 125790/44

r³ = 2858.8636

r = 28.38

Hence, The diameter of the asked hemisphere is 28.38 in.

For more references on hemisphere, click;

https://brainly.com/question/24402286

#SPJ2

A piece of wire is 72cm long. Is used to form 2 identical squares. What is the length of each each side of squares?

Answers

Answer:

the length of each side of the square are 6 cm

72/8= 9 cm
Because each square has 4 sides
So (4*9)+(4*9)=72
So the answer is 9

What is the slope of the line through the points (-8, 4) and (4, 4)?

Answers

Answer:

slope=0

hope this helps

have a good day :)

Step-by-step explanation:

Find the volume for this problem ?

Answers

[tex]x^{2}[/tex]Answer:628.31 ft

Step-by-step explanation:

v=[tex]\pi[/tex]r^2h

v=(3.14159)(5)^2(8)

v=628.31

Anyone mind helping I’ll give you the crown

Answers

b) Because it REFLECTING which means that is going across

Answer:

D is correct

Step-by-step explanation:

because the ponit started in quadrant 1 and the only thing that could change is the y-axis and the y-axis aloney went down and quadrant 4 is the only quadrant above 1 so that the answer

to 43. The height of a television varies directly with its
8 width. If a television has a height of 27 inches
and a width of 48 inches, identify the constant of
ne variation and write an equation to represent the
relationship
cof

Answers

Answer:

The answer is 29.

Step-by-step explanation:

please help!
i will reward brainliest

Answers

Answer:

37.9 degrees

Step-by-step explanation:

Using the law of sines, [tex]\frac{\sin(m\angle C)}{21}=\frac{\sin(47^\text{o})}{25}[/tex]. It follows that [tex]\sin (m\angle C) = \frac{21\sin(47^\text{o})}{25} \approx 0.6143371[/tex]. Therefore, [tex]m\angle C = \sin^{-1}(0.6143371)=37.9^\text{o}[/tex].

The answer 39.7. I not all the way sure

2 apples, 4 bananas, and 6 oranges. A fruit is randomly drawn from the bowl before another fruit is drawn, without replacement.

What is the probability that a banana and then an orange are selected?

Enter your answer as a fraction in simplest form in the box

Answers

Answer:

1/9

Step-by-step explanation:

1. aa

2. ab

3. ao

4. ba

5. bb

6. bo

7. oa

8. ob

9. oo

Answer:

anwser is 2/11

i took the quiz and picked 1/9 and it sayed that the anwser was 2/11

Henry was thinking of a number. Henry adds 6 to it, then doubles it and gets an answer of 99.2. What was the original number?​

Answers

Answer:

87.2

Step-by-step explanation:

Answer:

46.6.

Explination:

99.2 - 6 is 93.2. 93.2 divided by 2 is 46.6.

X= root (y-1/y+1) ( make “y” as subject. ) number 19

Answers

Answer:

y = (x² + 1) / (1 – x²)

Step-by-step explanation:

x = √[(y – 1)/(y + 1)]

We can make y the subject of the expression as shown below:

x = √[(y – 1)/(y + 1)]

Take the square of both side

x² = (y – 1) /(y + 1)

Cross multiply

x²(y + 1) = (y – 1)

Clear bracket

x²y + x² = y – 1

Rearrange

x² + 1 = y – x²y

Factorise

x² + 1 = y(1 – x²)

Divide both side by (1 – x²)

y = (x² + 1) / (1 – x²)

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