Find the leg of an isosceles right triangle when the hypotenuse measures 8

Answers

Answer 1

Answer:

4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

ratio of leg to hypotenuse in a 45-45-90° triangle is 1 : [tex]\sqrt{2}[/tex]

we can use this proportion to solve the problem:

let 'x' = leg

x/8 = 1/[tex]\sqrt{2}[/tex]

cross-multiply:

[tex]\sqrt{2}[/tex] x = 8

x = 8 / [tex]\sqrt{2}[/tex]

if you multiply top and bottom by [tex]\sqrt{2}[/tex] you will get 4[tex]\sqrt{2}[/tex]


Related Questions

How many 1/4-cup servings are there in 10/4 cups of dried beans

Answers

Answer:

2 2/4

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLIST IF CORRECT!!!

Answers

Answer:

The car can go 28.75 miles or 115/4 miles or 28*3/4 miles(either one works)

Step-by-step explanation:

There are 10 chocolates in a box.
7 of the chocolates have soft centres and 3 of the chocolates have hard centres. Kyla takes at random a chocolate from the box and eats it.
She then takes at random another chocolate from the box and eats it.

Answers

What’s the question?

The probability of getting chocolates with harder center is 7/15.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.

Probability of choosing first chocolate with hard center is

Total number of outcomes =10

Number of favorable outcomes =7

Now, probability is 7/10

Probability of choosing second chocolate with hard center is

Total number of outcomes =9

Number of favorable outcomes =6

Now, probability is 6/9

Probability of an event = 7/10 × 6/9

= 7/10 × 2/3

= 7/5 × 1/3

= 7/15

Therefore, the probability of getting chocolates with harder center is 7/15.

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https://brainly.com/question/11234923.

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"Your question is incomplete, probably the complete question/missing part is:"

There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.

Here answer dis ples

Answers

Answer: 152.07

Step-by-step explanation:

answer answer

Step-by-step explanation:

I think $ 152.07

Please help me with this please!
Enter the actual height of the tree.

Answers

it’s 9 feet because the 8 is being multipled by 3 to become 24 so you’d multiply 3(3) to get 9 which is the actual height of the tree.

Which planet in the chart is most likely Earth?
It’s science

Answers

Answer:

he diagram below compares the relative diameters of two planets in our solar system. Which two planets have diameters that most closely resemble this ... Earth (1) varies in distance from the Sun (2) spins on its axis (3) is tilted on its axis

Step-by-step explanation:

please answer correctly and quickly all question

Answers

Answer:

4) c

6) a, b

7) a

8) b, c

10) I'm not sure but I believe it is C.

Step-by-step explanation:

Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Answers

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

6/24 of the members play the trumpet.
In simplest form, what fraction of the band plays the trumpet

Answers

Answer:2/34

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{24}\div\frac{6}{6}=\frac{1}{4}[/tex]

Plsss help me i will mark you brainliest

Answers

Answer:

it will be 7

Step-by-step explanation:

Evaluate the function. f(x)=-x^2+6x+4 Find f(−7)

Answers

Answer:

x=5.70156211,−0.70156211

Step-by-step explanation:

Answer:

-2054

Step-by-step explanation:

,,...................

help I will give brainiest!!!!​

Answers

Answer:

20.4 feet

Step-by-step explanation:

daniel is 1 1/5 times as tall as chris,if there total height is 341 cm what is chris height

Answers

Daniel is 186 cm tall
Chris is 155 cm tall
Check attached picture for detailed explanation

How to solve (x+1)/3 =(2(x-2))/5 .

Answers

Answer:

3x + 3 = (2x - 4)/5

3x + 3 = 10x - 20

13x - 17

Step-by-step explanation:

Answer: X = 17

Explaination:

The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree​

Answers

The answer is D. 115°

Answer:

The answer is also 115 on USA test prep.

To find the quotient of 8 ÷ 1/3 multiply 8 by (a 1/8 (b 1/3 (c 3 (d 8​

Answers

Answer:

C

Step-by-step explanation:

To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer

Help this is geometry! Help me please!

Answers

You can use the triangle congruence theorem here because the hypotenuse and the leg of the two right triangles align.

A shirt that normally costs $19.99 is on sale for 15% off. How much does the shirt cost after the discount? $22.99 $19.99 $16.99 $24.50

Answers

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

Learn more about proceeds here:

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40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheaper ticket. please i need this for an assignment​

Answers

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25


What number should go in the box? 343834=300000+▢+3000+800+30+4

Answers

Answer:

40 000

Step-by-step explanation:

Find out what the numbers in the equation add up to excluding the box.

343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000

Answer:

40000

Step-by-step explanation:

300000+3000+800+30+4 = 303834

So,

343834-303834 = 40000

Ans = 40000

Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!

Answers

Answer:

Angles 6 and 2

Step-by-step explanation:

They are in the "interior" of the figure, plus, ik how to do this

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

3 + 7 and 2 + 6

Hope this helps!! :)

A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?

Answers

Answer:

1/56 chance

Step-by-step explanation:

3/8 x 2/7 x 1/6 = 1/56

find the 9th term for 150,60,24

Answers

Answer:

a(9) = 150*(0.4)^8 = 0.098304

Step-by-step explanation:

This is a geometric sequence, because each new term is 0.4 times the previous term.

The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).  Here, with a(1) = 150 and r = 0.4, we have:

a(n) = 150*(0.4)^(n - 1), and so

a(9) = 150*(0.4)^8 = 0.098304

original price is $150 markdown is 30% what is the retail price

Answers

Answer:

$105

Step-by-step explanation:

0.30×150=45

150-45=105

What is the measure of 2U?
4
4
70°
O A. 70
O B. 74
O C. Cannot be determined
O D. 66

Answers

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

PLEASE HELP ASAP!! PLEASE

Answers

Answer:

21 km

Step-by-step explanation:

I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions

If the cost of 12 pens is Rs.108, then what is the cost of 5 pens!!!
-Please write the full solution!​

Answers

Answer:

45 rupees

Step-by-step explanation:

If the cost of 12 pens is 108 rs, then we need to find the cost for 1 pen. We can divide the 108 rupees by 12 to find the cost per pen. We get 9; now we know that each pen costs 9 rupees and we have 5 pens so 9 times 5 is 45 rupees.

What is the coefficient of x² -14x + 49=0 :

Wich one? :
A. a=2, b=-14, c=49
B. a=1, b=-14, c=49
C. a=-14, b=49, C=1
D. a=49, b=-14, C=1
E. a=1, b=49, C=-14

I need your help ​

Answers

Answer
B. a=1, b=-14, c=49

A new bank customer with $4,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.9%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?

Answers

Ans

Step-by-step explanation:]\

To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes

Find each variable find x and y

Answers

x and y are equal b/c the triangle is isosceles triangle

when we see the angles of the triangle we get 2 equal angles

so to find the value of each variable we've subtract the parallel sides from the angles which means x=180°-45° y=180°-45°

x=75° y=75

b/c of it's isosceles triangle the two sides and angles are equal

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