Find the length of PR from the given figure ( step by step ). ​

Find The Length Of PR From The Given Figure ( Step By Step ).

Answers

Answer 1

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = [tex]\sqrt{1521}[/tex] = 39

Answer 2

Answer:

[tex]PR=39[/tex]

Step-by-step explanation:

The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex]a^2+b^2=c^2[/tex]

[tex]PQ^2+PR^2=QR^2[/tex]

[tex]80^2+PR^2=89^2\\[/tex]

Simplify,

[tex]80^2+PR^2=89^2\\[/tex]

[tex]6400+PR^2=7921[/tex]

Inverse operations,

[tex]6400+PR^2=7921[/tex]

[tex]PR^2=1521\\\\PR=39[/tex]


Related Questions

A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?

60 degrees
65 degrees
70 degrees
80 degrees

Answers

Step-by-step explanation:

=80°-15°=65°

please mark this answer as brainlist

find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}

Answers

p = 6/11.

So we have a bag that contains 6 red marbles and 6 green marbles.

Then the total number of marbles that are in that bag is:

6 + 6  = 12

There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.

Now we draw two marbles, we want to find the probability that one is red and the other is green.

The first marble that we draw does not matter, as we just want the second marble to be of the other color.

So, suppose we draw a green one in the first attempt.

Then in the second draw, we need to get a red one.

The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)

Then the probability is:

p = 6/11.

Notice that would be the exact same case if the first marble was red.

Then we can conclude that the probability of getting two marbles of different colors is:

p = 6/11.

This...ik what mean is I'm just trying to find what the original numbers would be? ​

Answers

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5

Answer
17.5


Explanation 17×5 is five but 2×5 is seven so 7×10 is 10

Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear

Answers

Answer:

b

Step-by-step explanation:

The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.  

mark is making a square pen for his puppy. he wants the puppy to have 36 square feet of space to play in. he can use square roots to determine the length of one side of the square section so that he can be sure to purchase enough fencing for the pen. how is the side of the square pen related to the area ?

how long is one side of the square pen ?

how much fencing will mark need to purchase ?

someone please help me lol​

Answers

Answer:

see below

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

36 = s^2

Taking the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The side length of the pen is 6 ft

To find the perimeter of a square

P = 4s

P = 4*6 = 24

He will need 24 ft of fencing

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

2) cos(120) is - 0.5

Solve for u. 42 = –7(u + 41)

Answers

Answer:

u = -47

Step-by-step explanation:

42 = -7(u + 41)

42 = -7u - 287

329 = -7u

u = -47

Please help me it’s due in 2 mins

Answers

82.053°??

(Tried going as fast as I can)

Answer these 3 questions and show how por favor! 39-says what is his age

Answers

Answer:

I dont know. sorry sorry

help I don't get it

Answers

Answer:

2)

3)

4)

5)

6)

Step-by-step explanation:

L is the point (-2,4) and M is the point(3,-1).A variable pointQ(x,y) in such that /QL/²-/QM/²=10​

Answers

Answer:

y=x

Step-by-step explanation:

so,

((x - -2)² + (y - 4)²) - ((x - 3)² + (y - -1)²) = 10

(x² + 4x + 4 + y² - 8y + 16) - (x² - 6x + 9 + y² + 2y + 1) = 10

x² + 4x + y² - 8y + 20 - x² + 6x - y² - 2y - 10 = 10

10x - 10y = 0

y = x

Amber had 56 of a book of postage stamps. She used 26 of the book of postage stamps. Which fraction of the book of postage stamps does Amber have now?

Answers

An Step-by-step explanation: There are 56 stamps in total, and Amber used 26. So, she used 26/56. We need know which fraction has now. so she have 30/56 (becauase 56-26= 30). And by simplify, she have now 15/28 (if you simplify by 2)

Find the area of this

Answers

Answer:

124

Step-by-step explanation:

108 break the shape into multiple shapes and calculate the area of each

Solve
4/√7-1 +2/√7+1

Answers

Answer:

[tex]\frac{4}{\sqrt{7}}-1+\frac{2}{\sqrt{7}}+1[/tex]

[tex]=\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}-1+1[/tex]

[tex]\frac{4}{\sqrt{7}}+\frac{2}{\sqrt{7}}=\frac{6\sqrt{7}}{7}[/tex]

[tex]\frac{6\sqrt{7}}{7}-1+1[/tex]

[tex]-1+1=0[/tex]

[tex]=\frac{6\sqrt{7}}{7}[/tex]

OAmalOHopeO

Answer:

Answer is (6[tex]\sqrt{7}[/tex] +2)/6

Step-by-step explanation:

The question isn't very clear, so I'm gonna assume the denominator is  [tex]\sqrt{7}[/tex]-1 and [tex]\sqrt{7}[/tex]+1


If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an
equation to find its radius.

Answers

Answer:

Option (1)

Step-by-step explanation:

Surface area of a cylindrical vessel is given by the expression,

Surface area = [tex]2\pi r^{2}+2\pi rh[/tex]

                     = [tex]2\pi r(r+h)[/tex]

Here, r = Radius of the vessel

h = Length of the vessel

By substituting the values of 'h' and surface area in the expression,

2πr(12 + h) = 540

Therefore, Option (1) will be the correct option.

Determine whether the statement below is true or false diam is a rhombus

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

it has all the properties matching with a rhombus

answer from gauthmath

2+9 +11+98+99999999999999999

Answers

Answer:

1.000000000000012e+16

Step-by-step explanation:

uh

I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!

Answers

Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

Concept:

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Center = (2, 14)

Radius = 1

Given formula

(x - h)² + (y - k)² = r²

Substitute the value into the formula

(x - 2)² + (y - 14)² = (1)²

Simplify

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

Please let me know if you have any questions

Describe and correct the error in finding the volume of the pyramid.

Answers

You have to multiple 6 times itself to get the sides

A 20 foot ladder rests against a wall. The ladder makes a 55° angle with the ground. How far from
the wall is the base of the ladder?

Answers

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH

I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!

Answers

Answer:

m<XUY = 40

Step-by-step explanation:

The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:

(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360

Substitute,

(-15x) + (30) + (90) + (x + 47) + (95) = 360

Simplify,

(-15x) + (30) + (90) + (x + 47) + (95) = 360

-14x + 262 = 360

Inverse operations,

-14x + 262 = 360

-14x = 98

x = -7

Substitute back into the equation for the measure of angle (<XUY)

m<XUY = x + 47

= -7 + 47

= 40

Determine which lines are parallel and which are not parallel. Explain your reasoning.


1. m∠3=69°, m∠7=71°

2. m∠3=76°, m∠8=114°

(please explain!!)

Answers

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

Please see screenshot for question you will get all 60 points plus a crown if you answer correctly

Answers

Answer:

12.73

Step-by-step explanation:

Set up ratio.

[tex]\frac{22}{100} =\frac{2.89}{x}[/tex]

Solve for x.

[tex]\frac{100}{22} =\frac{x}{2.8}[/tex]

[tex]\frac{100}{22} (2.8)=x[/tex]

x=12.73

What is an equation of the line that passes through the points (0, 8) and (-8, -4)?

Answers

Answer:

y = 1.2x + 2

Step-by-step explanation:

slope = (8 - 2)/(5 - 0) = 6/5y-intercept = (0, 2)y = (6/5)x + 2y = 1.2x + 2

Answer:

y=1.5x +8

Step-by-step explanation:

Which point has the coordinates (-3.5, 7)?​

Answers

Answer:

Q

Step-by-step explanation:

The coordinates are ( x,y)

negative 3.5 goes 3.5 units to the left

7 goes 7 units up

Answer:

Q

Step-by-step explanation:

The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5

the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Answers

GỌI CẠNHngắn: x, x>0DÀI: X+  30ĐƯỜNG CHÉO [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex] [tex]\sqrt{ x^{2} +(x+30)^{2} }[/tex]   =X+60[tex]x^{2} +(x+30)^{2}[/tex]=  [tex](x+60)^{2}[/tex] [tex]x^{2} =(x+60)^{2} -(x+30)^{2}[/tex][tex]x^{2} =(x+60+x+30) * (x+60-x-30)[/tex][tex]x^{2} = (2x+90)*30[/tex][tex]x^{2} = 60x+2700[/tex][tex]\left \{ {{x_{1} =90} \atop {x_{2} _=(-30)}} \right.[/tex]suy rax =9 0nênngắn =90mdài=120mĐƯỜNG CHÉO: [tex]\sqrt{90^{2} +120^{2} }[/tex]=150

The corresponding edges of two similar containers are 56cm and 84cm.Find the ratio of the capacities

Answers

Answer:

8 : 27

Step-by-step explanation:

Given the ratio of sides of 2 similar objects = a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 56 : 84 = 2 : 3 , then

ratio of volumes = 2³ : 3³ = 8 : 27

2. Use technology to graph, or graph by hand (on graph paper- MUST BE ACCURATE) each plan on the same set of axis (all three lines on the same graph – this is not a scatter plot! You must have connecting line segments). Assume that a maximum of attendees will be 50 (you will need to adjust the scale - wrench setting). Place a copy of your graph into this document. You must have labeled axis!!! To label your axis on Desmos, go to the wrench settings. (4 marks)

Answers

Answer:

https://www.woboe.org/cms/lib8/NJ01912995/Centricity/Domain/905/Graphing-Packet%20Answers.pdf

Let me know if this helps!

Be a bit more specific on the question like what do you want us to do\

MORE INSTRUCTIONS THAN THE QUESTION

The polygons in each pair are similar. Find the missing side length.

Answers

Answer:

12

Step-by-step explanation:

We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.

As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:

[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]

Horace is running a race. He wonders how fast he is running.

Which unit rates would be reasonable for Horace to use to describe how fast he is running?

Select each correct answer.

a miles per hour
b millimeters per minute
c kilometers per hour
d inches per hour

Answers

Answer:

C. Kiometers per hour. I think

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