Mathematics High School

In the adjoining figure, find the values of X and Y.​

In The Adjoining Figure, Find The Values Of X And Y.

Answers

Answer 1

Answer:

x=5 cm,y=12 cm

Step-by-step explanation:

We are given that

RQ=3 m

PQ=4 cm

RP=x cm

RS=13 cm

SP=y cm

We know that Pythagoras theorem

[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]

In right triangle RQP

Using Pythagoras theorem

[tex]RP^2=RQ^2+PQ^2[/tex]

Substitute the values

[tex]x^2=3^2+4^2[/tex]

[tex]x^2=9+16[/tex]

[tex]x^2=25[/tex]

[tex]x=\sqrt{25}=5[/tex]cm

Now,

In triangle RPS

[tex]RS^2=RP^2+SP^2[/tex]

[tex](13)^2=5^2+y^2[/tex]

[tex]169=25+y^2[/tex]

[tex]169-25=y^2[/tex]

[tex]144=y^2[/tex]

[tex]y=\sqrt{144}=12[/tex] cm

Related Questions

factoring is the opposite of what operation

Answers

Answer:

Factoring is the opposite of multiplying (or using the distributive property to multiply.)

Step-by-step explanation:

PLEASE HELP!!!!! I THINK IT IS 1/6 BUT I DONT KNOW THE QUESTION IS FIND THE SLOPE OF Y=1/6X +3/2 OR SEE THE ATTACHMENT ILL GIVE 30 POINTS AND BRAINLIEST

Answers

1/6 is the slope you are correct

A boat is traveling a distance of 90 km at a speed of 30 km/s, how long will it take to reach its destination?
PLEASE SHOW WORK!

Answers

Answer:

3 sec

Step-by-step explanation:

Answer:

[tex]3[/tex] seconds

Step-by-step explanation:

[tex]90 \div 30 = 3[/tex]

It will take [tex]3[/tex] seconds for the boat the reach its destination.

Erin rolled a number cube with sides labeled 1 through 6. She rolled the number cube 400 times and recorded each result. About how many times could Erin expect to roll a 4?​

Answers

Answer:

about 67 times

Step-by-step explanation:

hope this helps :)

Village lanes bowling alley charges $2.00 just to rent a pair of shoes and $3.50 for each game bowled. If you spend a total of $16, then how many games were bowled?

Answers

16=3.5x+2
-2 -2
14=3.5x
/3.5 /3.5
4=x
4 games

the massive rear tire of a tractor rotates and moves the tractor 100 yards across a field in 4 minutes. Determine the linear velocity of the outer edge of the massive tire. Is the linear velocity of the outer edge of the smaller tire faster or slower than the massive tire? Which has a greater angular velocity?

Answers

9514 1404 393

Answer:

  a) 25 yards per minute

  b) linear velocity is the same

  c) smaller tire has greater angular velocity

Step-by-step explanation:

a) The linear velocity of the edge of the tire is the same as the linear velocity of the tractor: (100 yd)/(4 min) = 25 yd/min

__

b) All parts of the tractor have the same linear velocity. The outer edge of the smaller tire is moving at the same linear velocity.

__

c) Because the smaller tire must make more turns to cover the same distance in the same time, its angular velocity (turns/time) is greater.

The smaller tire has greater angular velocity.

At a real estate agency, an agent sold a house for $339,000. The commission rate is 6.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?
The agency made on the house,

Answers

67nndndnntbtbjdjdjdj

Is 3⁵ the same as 3 • 5? Please Explain ​

Answers

Answer:

No. 3^5 = 3 * 3 * 3 * 3 * 3, which does not equal 3 * 5.

Answer:

no

3^5 is the same as 3x3x3x3x3, which equals 243 compared to 15

Step-by-step explanation:

O(-
Determine if (-2, -1) is a Solution or
Not a Solution to the linear system.
y = 3x + 5
x + y = -3
Please answer!!!

Answers

Answer:

It is a Solution

Step-by-step explanation:

y=3(-2)+5         y=-1

(-2)+y=-3          y=-1

What is the first step in solving this quadratic equation? x^2+5x=6

a) combine like terms
2) set each factor equal to zero
c) subtract 6 from both sides to get it equal to zero.
d) factor

Answers

Answer:

c) subtract 6 from both sides to get it equal to 0

Step-by-step explanation:

Can someone explain this to me please

Answers

Answer:

40

Step-by-step explanation:

Carter's speed is 60, and Vitor's speed is 100. To find how much slower, Carter was, subtract Vitor's speed from Carters. 40 is the difference.

Answer:

Carter is about 17% slower than vitor

Step-by-step explanation:

Carter is 14/60 = 23.33/100

Vitor is 40/100

The Sales in thousands of a new type of product, headphones that block out annoying people, are given by S(t)= 230-60e^-0.1t, where t represents time on months.

A. Find the sales at the time when t=4 months.
B. AFter how many months will sales be equal to $220,000.

Answers

Answer:

A) 15.33

B) 843333.33

Step-by-step explanation:

100,85,70,_,40


What is the number pattern?

Answers

Answer:

55

Step-by-step explanation:

its subtracting 15 each time

Answer:

55 and the pattern is 15... i think

Step-by-step explanation:

how many square feet of outdoor carpet will we need for this hole?​

Answers

Answer:

The area of the carpet is 38 square feet.

Hope this helps. Le me know if you need anything else.

Solve for x
-2x + 4 = 6x - 12

Answers

Answer:

x=2

Step-by-step explanation:

-2x+4=6x-12  Add 2x to both sides.

+2x    +2x

4=8x-12         Add 12 to both sides.

+12  +12

16=8x            Divide by 8 on both sides.

/8 /8

2=x

Hope this helps you out and have a great day (～^▽^)～

Answer:

x=2

Step-by-step explanation:

-2x + 4 = 6x - 12

First add 2x to each side: 4=6x−12+2x

Now simplify 6x-12+2x: 4=8x-12

add 12 to both sides: 4+12=8x

Simplify 4+12: 16=8x

Divide both sides by 8: 16/8

you end up with x=2

Hope this helps :)

Marie purchased a $49.00 gift for a baby shower. She uses a coupon that offer 20% off. how much will Marie SAVE on the gift card after the coupon

Answers

Answer:         $39.2

Step-by-step explanation:

9.80 saved

Step-by-step explanation:

49.00 x .20 = 9.80

4. What does a purchasing power calculator compare?

A. The relative value of a past amount of dollars to a present amount.

B. Nickels and dimes.


C. How many stores you can buy goods from.

D. Checking and savings accounts.

Answers

Answer: A

Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount

Kennedy and Amaya want to make a scale drawing of Central Park. They want to use the scale of 1in : 1ft. Can you change that scale to a scale WITHOUT UNITS?

Answers

The scale can be used in meters instead


30, 24, 35, 84, 60, 42, 29, 16, 68, 47, 22, 74, 34, 21, 48, 91, 66, 51
33, 29, 18, 31, 54, 75, 23, 45, 25, 32, 57, 40, 23, 32, 47, 67, 62, 23. In order

Answers

Answer:

16, 18, 21, 22, 23, 24, 25, 29, 30, 31, 32, 33, 34, 35, 40, 42, 45, 47, 48, 51, 54, 57, 60, 62, 66, 67, 74, 75, 84, 91

16, 18, 21, 22, 23, 24, 29, 29, 30, 31, 33, 34, 35, 42, 47, 48, 51, 54, 60, 66, 68, 74, 75, 84, 91

Please help I can’t figure this one out

Answers

70


this is because the bottom line has to equal 180, the angles given, 50 and 60, add up to 110, meaning the missing angle is 70 hope this helps :)

Answer:

30

Step-by-step explanation:

Add all the measures 50+35+85+65+60= 210

subtract 180 from 210 and you get

210-180 = 30

we use 180 because  Example: Angles on one side of a straight line always add to 180 degrees. 30° + 150° = 180° When a line is split into 2 and we know one angle, we can always find the other one.

help me

Mount St. Helens lost about 1300 feet of height in the May 18, 1980, volcanic eruption.
About how many meters of height did it lose?
A. about 3900 meters
B. about 39 meters
c. about 3.900 meters
D. about 400 meters
E. about 40 meters
​

Answers

D , about 400 meters , exact answer is 396.24

Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?

Answers

Triangular number sequnce

3 people can deliver 1000 letters in 30 minutes.
How long would it take 1 person to deliver all 1000 letters?
If there are 5 people delivering would it take more or less time?
How long will take 5 people to deliver 1000 letters?

Answers

Answer:  It would take 1 hour and 30 minutes for one people do it.

If 5 people do it would take less time. If there are 5 people delivering the letters it would take them 12 minutes ti deliver all 1,000 letters.

Anna is x years old and her sister is 5 years older. How old was her sister 5 years ago?
(principal test RSM)

Answers

Answer:

[tex]x[/tex]

Step-by-step explanation:

[tex]x + 5 - 5 = x[/tex]

If a transformation causes the angle measures of a figure to change are the figures similar? Why or why not
No, similar figures need to have corresponding sides proportional and corresponding angles congruent.

No, similar figures must have corresponding angles congruent.

Yes, the figures are similar as long as the corresponding angles are proportional.

Yes, the figures are similar as long as the corresponding sides are still proportional.

Answers

Answer:

No, similar figures need to have corresponding sides proportional and corresponding angles congruent.

Step-by-step explanation:

#1. (3 points) Use the commutative property to write an expression that is equivalent to 3x – 6 – 8x.​

Answers

Answer: -(5x+6)

Step-by-step explanation:

find ratio of := 900 cm to 12cm​

Answers

ovhovientos ochenta y siete

Answer correctly
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0+0

Answers

Answer:

=0

Step-by-step explanation:

0+0=0

it can't be 2 zeroes, just 0

Answer:

0+0=0

Step-by-step explanation:

my albert einstein maths =0+0=15

what is
g(x)= 7/8(7) - 1/2

Answers

Answer: g=3/56

Hope this helps you

Ava has a collection of 200 coins. How many coins represent 5% of her collection?
Please help me out

Answers

Answer:

[tex]10 coins[/tex]

Step-by-step explanation:

[tex]5\%[/tex] is equal to [tex]0.05[/tex] which is just [tex]5 per 100[/tex]. In the number [tex]200[/tex], there are 2 hundreds, so the answer would be 10 (coins that represent [tex]5\%[/tex] of her collection. You could also do [tex]0.05×200=10[/tex].

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