Apply the 45º-45º-90º Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 8{x} inches.

Answers

Answer 1

9514 1404 393

Answer:

  (4√2)x inches

Step-by-step explanation:

The leg of an isosceles right triangle is (√2)/2 times the length of the hypotenuse. For a hypotenuse of 8x inches, the leg length is ...

  (8x)(√2)/2 = (4√2)x . . . inches


Related Questions

A basketball court is a rectangle that is 28\,\text{m}28m28, start text, m, end text long and 15\,\text{m}15m15, start text, m, end text wide. A diagram on a coordinate plane shows a circle in the middle of the court centered at (0\,\text{m},0\,\text{m})(0m,0m)left parenthesis, 0, start text, m, end text, comma, 0, start text, m, end text, right parenthesis. The point (0.8\,\text{m}, 1.5\,\text{m})(0.8m,1.5m)left parenthesis, 0, point, 8, start text, m, end text, comma, 1, point, 5, start text, m, end text, right parenthesis is on the circumference of the circle.
Approximately what percentage of the court does the circle cover?

Answers

Answer:

48

Step-by-step explanation:

Answer:

B, 2%

Step-by-step explanation:

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Answers

The length , explain that againnnnnnn

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7   That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8     That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9    That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10   Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36   This won't work either. Same reason as n = 5.

7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?​

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASgiven:A=2x+3B=x²-5x+1to find:A-5Blet's solve:

[tex] step - 1 : define[/tex]

A-5B=2x+3-5(x²-5x+1)

[tex]step - 2 : solve[/tex]

distribute -5 to the parentheses:2x+3-5x²+25x-5rewrite:-5x²+2x+25x-5+3combine like terms:-5x²+27x-2

and

we are done

Could anybody help me with these few they're awfully confusing to me.

Answers

Answer:

how can I be of help

can't see anything actually

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer:  0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

Answer: 0.58

Step-by-step explanation:

 

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

ANSWER =  0.58

Can someone help me?????

Answers

answer: b
explanation: CD=AB since they are parallel meaning 33 = x+14 (solve to get y=19) and then AD=CB because they are also parallel meaning y=10

Which of the following is a one-to-one functions?

Answers

Answer:

A function f : X → Y is said to be one to one (or injective function), if the images of distinct elements of X under f are distinct, i.e., for every x1 , x2 ∈ X, f(x1 ) = f(x2 ) implies x1 = x2 . Otherwise, it is called many to one function.

An Experienced ice skater spins on the ice, creating a perfect circle with a diameter of 4 feet. What is the circle's radius?

Answers

Answer:

2

Step-by-step explanation:

the radius is half the diameter from the middle!

EASY 7TH GRADE MATH! FIRST PERSON MARKED BRAINLIEST, NEED HELP NOW!!!

Answers

Answer:

slope of 2 and y-intercept of 1

(3rd answer choice)

Step-by-step explanation:

Answer:

It's the last one doesn't matter which way you go they are both going to the negative way because they are going down and to the left so they are both negative. I hope this helps good luck.

Elena raised $84 to support the animal shelter, which is 30% of her fundraising goal. What is Elena's fundraising goal

Answers

$280 is her goal. Good luck and have a great day!

for the table below, what is the range?

Answers

Answer:

second option

Step-by-step explanation:

mark me brainliest pls

I NEED HELP OW RN rn please

Answers

Answer:

(4,10)

Step-by-step explanation:

Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate

Point p is the interior of angle abc. If angle abc=125deg and angle abp=62deg, what is the angle pbc?

Answers

Answer: The angle ∠ PBC is 63°.

Step-by-step explanation:

Given: Point P is in the interior of ∠ABC.

∠ ABC = 125°

∠ABP= 62°

To find : ∠ PBC

Since P is in the interior of ∠ABC.

Then

∠ ABC = ∠ABP + ∠ PBC

⇒ 125°= 62°+ ∠ PBC

⇒ ∠ PBC= 125° - 62°

⇒ ∠ PBC= 63°

Hence, the angle ∠ PBC is 63°.

What is the value of' x'?
B.
D
3 ft
6 ft
A
С
4 ft
E
F
Х
help pls

Answers

Answer:

7..the way you worded the options was confusing

The ratio of marbles to stones in a large pot is 6 to 7. If there are 42 marbles, then how many stones are there?

Answers

Answer:

49 stones

Step-by-step explanation:

Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":

6 m / 7 s = 42 m / X s

cross multiply to get the unknown in the numerator:

6 * X = 42 * 7

divide both sides by 6 to isolate X entirely on the left of the equal sign

X = ( 42 * 7 ) / 6

X = 49

Therefore, there are 49 stones

Help please i don’t understand

Answers

Answer:

B or C

Step-by-step explanation:

PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION

Answers

Answer:

I think it's 2-3, but I'm not sure.

Step-by-step explanation:

Sorry if I get it wrong

The tape diagram represents an equation.
I will give you a brainlist

Answers

7m=63 ? im js guessing im not sure

How do I solve this equation? 2/3(x-4)=1/2

Answers

Answer:

19/4

Step-by-step explanation:

the answer is 19/4.From the photo

Find the value of h(45) for the function below.

Answers

Answer:

I agree with her her explain and her solving

A rectangular prism has a base of 7 m by 9 m and a height of 5 m. What is its volume?

Answers

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Formula- V=w*h*l
= 7*9*5
Volume =315 will be the volume

Felipe grows tomatoes.
0
20
60
80
The box plot shows information about
the weights of Felipe's tomatoes.
40
Weight (grams)
Felipe says “at least half of my tomatoes weigh more than 50 grams each".
a) Which of the statements below describes Felipe's statement best?
A- He is correct because the Median weight is 48 grams.
B - He is wrong because the Median weight is above 50 grams.
C - He is correct because the Median weight is 56 grams.
(1)
b) Work out the range of weights of Felipe's tomatoes.
(1)
c) Work out the interquartile range of weights of Felipe's tomatoes.
(1)

Answers

Answer:

a) c

b) 62

Step-by-step explanation:

He is correct because the Median weight is 56 grams.

Option C is the correct answer.

The range of weights of Felipe's tomatoes is 62.

The interquartile range of weights of Felipe's tomatoes is 44 grams.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 56 grams

Now,

The statement that Felipe describe is correct because the median weight of 56 grams.

The range of the weights of the tomatoes.

= Highest value - Lowest value

= 78 - 16

= 62

The interquartile range of weights of Felipe's tomatoes.

= Upper quartile - Lower quartile

= 72 - 28

= 44 grams

Thus,

Median weight = 56 grams.

Range = 62

Interquartile range = 44 grams.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ2

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by

Answers

Answer:9ft

Step-by-step explanation:

Evaluate:
(15 +12) - 3 to the second power

Answers

Answer:

Step-by-step explanation: (15+12)-3^2 power ------> 27-3^2 power ----> 27-9 ----> equals 18

ANSWER:

18

SOLUTION:

(15+12) -3^2

(15+12) = 27

=27-3^2

=27- 9

=18

2. What is the area of the half circle ?
20 points
9 in
A) 31.7925 square feet
B) 63,585 square feet
C) 127.17 square feet
D) 254 34 square feet

Answers

The answer is 127.17

The distance between points F and H is 3 units, and the distance between points H and G is 4 units. What is the distance between points F and G?

Answers

Answer:

[tex] {4}^{2} + {3}^{2} = 16 + 9 = \sqrt{25} = 5[/tex]

Peggy is laying 60 ft from the base of a tree. The angle of elevation for her to see
the top of the tree is 50º. Use a trigonometric ratio and calculator to find the
height of the tree to the nearest tenth of a foot.

Answers

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

anyone help pls!! will mark brainliest​

Answers

Answer:

2.5 cm is the radius

Step-by-step explanation:

In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem.

Answers

Answer:

P will remain the same

Step-by-step explanation:

Given

[tex]V(t) = P(1 + r)^t[/tex] --- Coin value formula [Missing from the question]

Required

What happens to p when r increases

The coin value function is an exponential function which is of the general  form:

[tex]y = a(1 + b)^x[/tex]

From the given function: [tex]V(t) = P(1 + r)^t[/tex]

P represents the initial value and r represents the rate

The rate of change (r) and the initial value (P) of a function are both independent, and they do not depend on one another for their values.

An increment or decrement in r will not affect the value of P.

Conclusively, when the rate (r) changes, the initial value (P) will remain the same.

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