Right triangle PQR has acute angles P and Q measuring 45°. Leg PR measures 2 radical 6. Find the unknown side lengths in the right triangle.



The side QR has a length of ___


The side PQ has a length of ___

Answers

Answer 1

In a right triangle with acute angles of 45°, the two legs are congruent. Let's denote the length of both legs as x.

Given that the length of leg PR is 2√6, we can set up the equation:

x = 2√6

To find the value of x, we square both sides of the equation:

x^2 = (2√6)^2

x^2 = 4 * 6

x^2 = 24

Taking the square root of both sides, we get:

x = √24

x = 2√6

So, the length of both legs PQ and QR is 2√6.

Therefore, the length of side QR is 2√6, and the length of side PQ is also 2√6.

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Related Questions

Does anyone know if I did this right?? Please help me

Answers

Answer:

you did this right

Step-by-step explanation:

A 1kg book is lifted 2m. How much work was done?

Answers

Answer:

work= force ×distance

force= mass × acceleration due to gravity

mass= 1kg

acceleration=10

Force=1×10=10N

Work=10×2=20joules

The  work done is 20 joule.

What is Work done?

It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.

Given:

mass, m= 1 Kg

So, force = mg = 1 x 10 = 10 N

and, displacement = 2m

Now, work done= force x displacement

                           = 10 x 2

                           = 20 Joules.

Hence, the work done is 20 joule.

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9*10^7 is how many times as large as 3*10^-2

Answers

3000000000 Times, sorry if it’s wrong

[tex](9x2-2x+1)-(3x2+5x-8)[/tex]

Answers

Answer:

(6x² - 7x + 9)

Step-by-step explanation:

Given:

(9x² - 2x + 1) - (3x² + 5x - 8)

Find:

Value of equation

Computation:

(9x² - 2x + 1) - (3x² + 5x - 8)

(9x² - 2x + 1 - 3x² - 5x + 8)

(6x² - 7x + 9)

HELP I forgot how to do this (show work please)

Answers

The answer is 23[tex]\sqrt{x} \pi[/tex].

Sorry that I didn't explain and made it short my annual examination is going on but I really wanted to help you.

The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below

Answers

Answer:

Step-by-step explanation:

What's the question?

10 points
8. The ring system around Saturn has a diameter of 170,000 miles. Find
the circumference around the ring system, to the nearest whole number.
If Saturn diameter is 72,367 miles. What is the area of Saturn to the
nearest Whole number? *

Answers

Kfkfkkfkdkdkdkkd24.006

reflect...........................................

Answers

Answer:

F ( -1,4)

E (-1,2)

G (-4,5)

Step-by-step explanation:

Answer:

on what

.....................

cual es el resultado de -4+5/3​

Answers

Answer:

English translate so i can help you ? :)

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?

Answers

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

=4 x 45= 180.

helppppppppppppppppppppppppp

Answers

Answer:

The value of f(2) is -9.

Step-by-step explanation:

You look for the x axis and count 2, then go down until you reach the line.

Plz mark me as Brainliest plz

Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .

Answers

Answer:

what is the question?

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

but whats the question tho u gave us the info so whats the question

A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT​

Answers

Answer:

$6,619.42.

Step-by-step explanation:

Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:

((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X

((4,746 x 1.15) + 250 + 150) x 1.13 = X

(5,457.9 + 400) x 1.13 = X

5,857.9 x 1.13 = X

6,619.42 = X

Thus, the price to be paid by the consumer will be $ 6,619.42.

The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?

Choose exactly two answers that are correct.

Question 3 options:

The ratio of large to small T-shirts is about 4 to 1.

There are more than 35 small and extra small T-shirts.

There are about twice as many large T-shirts as small T-shirts.

There are fewer than 100 T-shirts in all.

Answers

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

there are fewer then 100 t shirts
the ration of large to small tshirts is about 4 to 1
they are both correct

how many solutions 9x +2y =9 -3x + y=2

Answers

Answer:

4

Step-by-step explanatio

Answer: 4

Step-by-step explanation:

jiubpuunuibu

Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines

Answers

I think both of the answers are 38 because if you take it’s a supplementary angle eight equals 180 so one +2 equals 180 so if Angle measurement one equals 142 you take 80 and subtract it from 142 and you get 38 angle measurement seven is 142 and this is because it’s over 90° and it’s a bigger angle than eight is so yeah she would be 38 for both

1) John spent $36 to buy 4 basketballs. What was the price per basketball?

Answers

$9
36 divided by 4 is 9

Find the roots of the equation: f(x)=64x2+6=31

Answers

Answer:

5/8, -5/8

Step-by-step explanation:

64x^2 = 25

divide both sides by 64

x^2 = 25/64

take the square root of both sides, and the negative square roots

Answer:

x = 5/8=0.625 and x = -5/8=−0.625

Step-by-step explanation:

f(x)=64x^2+6=31

Subtract 6 from both sides.

64x^2+6=31

Subtract 6 from 31 to get 25.

64x^2=25

Divide both sides by 64.

x^2=25/64

Take the square root of both sides of the equation.

x=5/8=0.625

x=-5/8=−0.625

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/




hi guys













i need help only 19​

Answers

y = 2/3x + 11/3

slope: (y2-y1)/(x2-x1) = (5-3)/(2- -1) = 2/3

point intercept form: (y-y1) = m (x-x1)
(y-3) = 2/3 (x+1)

solve for y
y-3 = 2/3x + 2/3
y = 2/3x + 11/3

On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?

Answers

Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

Please help explain. I’ve came up with 3 wrong answers

Answers

The answer is skdkdksjxsjdjsj hope this is what your looking for

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

Write the equation of the line that passes through the points (-4,8) and (-2, -1).
Put your answěr in fully reduced point-slope form, unless it is a vertical or horizontal
line.PLEASEEE HELPPP MEE

Answers

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Ms. Mathews wants to put a fence around the north, south and east sides if her square garden. The garden has an area of 100ft2. How much fencing does she need?

Answers

Answer:

30 feet

Step-by-step explanation:

3 sides of x feet each

area=x^2=100

x=10

10 x 3 = 30 feet

184329 rounded to the nearest 100

Answers

Answer:

184300

Step-by-step explanation:

Answer:

184300

Step-by-step explanation:

the tens place is less than 5 so the hundreds place will stay the same

(when rounding all numbers after the one being rounded will turn to 0)

PLease help!! I will give brainliest for the right answer!!

Answers

Answer:

angle CDE is 10 degree

Step-by-step explanation:

As angle C is 90

Angle E is equal to angle B which is 80 (180-100)

so 90+80+X=180

X=180-170

X=10

What is the volume of this?

Answers

Answer:

1728 m³

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²

V = 172.8 × 10 = 1728 m³

can someone help me find the area and perimeter please?​

Answers

Answer:

Step-by-step explanation:

Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:

5 x 12 = 60/2 = 30

Area of this triangle is 30.

To find the perimeter, add all the sides:

5 + 12 + 13 = 30.

Perimeter of this triangle is 30.

HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example

Answers

Answer:

The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

Step-by-step explanation:

A cube has edges measuring 6 inches each. What is the volume of the cube?

Answers

Answer:

6*6*6 = 216

Step-by-step explanation:

If each edge is six inches the volume of the cube will be 216 cubic inches. The edges of cube are six inches long what is the volume? 6*6*6 = 216

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