In triangle PQR, PQ = 8 cm, QR = 6 cm, and mZPQR = 30°.
Exactly how long is PR?
P
8 cm
30°
6 cm
R

Answers

Answer 1

Answer:

PR = 10

Step-by-step explanation:

Pythagoras

hypotenus ² = base² + attitude ²

substitution ; PR² = 6²+8²

PR² = 100

PR = √100

So, PR = 10

hope it helps you ☺️


Related Questions

HELP ME PLEASE !!!

Answers

Answer:

A realistic budget is hard to come by. All budgets tell you what you should include in your monthly plan, but what about unexpected expenses? Here are some ideas for making a realistic budget, and sticking to it.

daid1784 avatar

Well, the dozens of apps, spreadsheets, and other methods just don’t account for real life and all the expenses we don’t think of. There are plenty of expenses we have that aren’t monthly that take up more of our money than we planned.

Please help due ASAP
Hxhdbdidhdbbr

Answers

Mid point M of CF will have coordinates,
x
M
=
x
C
+
x
F
2
=
3
+
9
2
=
6

y
M
=
y
C
+
y
F
2
=
4
+
8
2
=
6

Using distance formula,
Distance
¯¯¯¯¯¯¯
M
F
=

(
x
M

x
F
)
2
+
(
y
M

y
F
)
2

=

(
6

9
)
2
+
(
6

8
)
2
=

13

3.6056

Enter the value of n for the equation 26 * 2n = 213

Answers

Answer:

4.09

Step-by-step explanation:

the measure of AOC is 90 find the value of x, A 30 B 10 C 11

Answers

10

Step-by-step explanation:

3x° + 46° +14°

3*10° + 46 + 14° =90

therefore the value of x is 10

The value of x on the given figure is 10.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

3x + 46 + 14 = 90

Now,

Simplifying.

3x + 60 = 90

Subtracting 60 on both sides.

3x = 90 - 60

3x = 30

Dividing 3 into both sides.

x = 10

Thus,

The value of x on the given figure is 10.

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The complete question is given on the attach image.

Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?

Answers

Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.

We will find that working together, they need to work for 8 hours.

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

Let's start by defining the variables that we will use:

A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.

Now let's see the given information:

"Aran and Beatrice can build an ant hill in 10 hours"

This can be written as:

(A + B)*10 h = 1 ant hill

"Aran and Charlie can build the ant hill in 12 hours"

This can be written as:

(A + C)*12 h = 1 ant hill

"Beatrice and Charlie can build the ant hill in 15 hours"

This can be written as:

(B + C)*15 h = 1 ant hill.

Then we have 3 equations:

[tex](A + B)*10 h = 1[/tex]

[tex](A + C)*12 h = 1[/tex]

[tex](B + C)*15 h = 1[/tex]

Where for commodity, I removed the "ant hill" unit.

Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.

I will isolate A in the first equation:

[tex]A = \frac{1}{10h} - B[/tex]

Now we can replace it in the second equation to get:

[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]

Now we can isolate C in the last equation to get:

[tex]C = \frac{1}{15h} - B[/tex]

Replacing that in the above equation we get:

[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]

This means that Beatrice alone would construct the hill in 24 hours.

Now that we know the value of B, we can use:

[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]

This means that Charlie needs 40 hours to finish the hill alone.

Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:

[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]

Now if the 3 ants work together, the total rate at which they work is:

[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]

This means that they need to work for the inverse of that rate

[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]

Working together, they need to work for 8 hours to complete an ant hill

If you want to learn more, you can read:

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yoo someone help asaapp!​

Answers

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................

What is the solution to the equation? 13 3/4+X= 7 1/ 4​

Answers

Answer: x=-6 1/4

Step-by-step explanation:

Please help!!
Will mark brainliest

Answers

y would equal to -5. hope this helps

4 dogs have weights of 5.2 kg, 3.5 kg, 7 kg, and 9.74 kg. What is the total weight of the dogs? What is the average weight of the 4 dogs?

Answers

Answer:

25.14kg is the total weight

Step-by-step explanation:

Answer:

The total weight of the dogs is 25.44 kg

The average weight of the dogs are 25 kg

Step-by-step explanation:

It is right on Egenuity comment if you want another answer and have a good day :)    

You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

Answers

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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in the equation x+12=30 does x=16 explain your answer

Answers

no x does NOT equal 16. you would substitute x for 16 which gives you 16+12. That equals 28 not 30. The correct answer is x=18

Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?

Answers

Answer:

17 students

Step-by-step explanation:

If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.

In an effort to save money, you placed $20 in a jar each month for 2 years. You spent 60% on presents for your family. How much do you have left?

Answers

Answer: $552

(20x12) 2 =480

480 x 0.60 = 228

480-228=552

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

Answers

It is true it is a known and common fact

please answer the questions.​

Answers

Answer:

1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)

2. 122 square cm

Step-by-step explanation:

break the shape into 2, find area of each, add those areas together

1. 10 x ____ = 180

2. 37 x 10 = ____

3. ____ tens = 650

Answers

Answer:

1. 18

2. 370

3. 65

Step-by-step explanation:

1. 180/10=18

2. 370 add a zero

3. tens means ·10 so 650/10=65

Answer:

1.)18

2.)370

3.)65 tens yw(:

Plz help me I will give you brainliest and 10 points

Answers

Answer:

0.08522

Step-by-step explanation:

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

A. A cylinder just fits into a cube of side length 36 m Calculate the percentage
of empty space in the box.

Answers

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage  of empty space: 1 - 0.785 = 0.215  (21.5%)

Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?

A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers

Answers

Answer:

A. President Millard Fillmore

The answer is letter A !

The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?​

Answers

Basically that’s it but write it down by yourself

The perimeter of the rectangle is 70cm.

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

What is the formula for the perimeter of square?

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

What is the formula for the perimeter for the rectangle?

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

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Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?​

Answers

Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

The screws does Jonathan need is  56 screws.

It is required to find how many screws does Jonathan need.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Jonathan uses 8 screws for every 2 steps. If there are 14 steps.

So, first we can find how many screws he needs.

According to given question we have

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.

Therefore, the screws does Jonathan need is  56 screws.

Learn more details about arithmetic here:

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Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Answers

Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

Answers

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft

Answers

1 inch equals four 4 because 32 divided by 4 is 8 and 40 divided by 4 is 10

2.) Add unlike fractions using the butterfly method.
1 point
c) of the teacups in Lily's Tea Shop, 1/5 are teal and another 1/10 are yellow. What fraction
of the teacups are either teal or yellow?
3/10
5/10
7/10
O 1/10

Answers

Answer:

3/10

Step-by-step explanation:

1/5=2/10

2/10+1/10=3/10

Answer:

ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.

Evaluate the expression 42 + 5/9y

Answers

Combine
5
9
5
9
and
y
y
.
42
+
5
y
9

What was the price for one notebook?

Answers

2 dollars usually ssss

Answer:

A notebook at the dollar store costs between 1-2 dollars

What is the value of
2021

2223
+
2425
?
?

Answers

Answer:

2223

Step-by-step explanation:

We need to find the value of 2021-2223+2425.

Firstly subtract 2223 from 2021.

2021-2223 = -202

Now add -202 and 2425. So,

2425 +(-202) = 2223

So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.

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