Simplify the following equation:

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3[tex]\sqrt{2}[/tex] )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Thus RQ = RS = 3

Answer:

no solution

Step-by-step explanation:

Answer:

If the slope is different - always one solution

if the slope is the same but the y intercept is different - no solution

if the slope and y intercept are the same - infinite number of solutions

Answer:

The lowest length on the third side is less that 30 and the largest is between 40 and 30

Step-by-step explanation:

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

Answer:

TWO BUCKS?? ballin on a budget

anyways, if there are 16 guests, the party would cost $50. sounds a lot more correct lol

Step-by-step explanation:

Given that,

The depth of the pool is, h = 5 feet

Volume of the pool, V = 1200 cubic feet

We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :

[tex]V=lbh[/tex]

Where

l and b are length and breadth

So,

[tex]lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240[/tex]

The first possibillity for dimension is (10×24). Another can be (12×20).

Answer:

11.1 feet

Step-by-step explanation:

When you are given a right triangle with a given angle and side, you can use

trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.

These ratios can be remembered by the mnemonic:

SOH CAH TOA.

S O H → Sin (Sine) = Opposite / Hypotenuse

C A H → Cos (Cosine) = Adjacent / Hypotenuse

T O A → Tan (Tangent) = Opposite / Adjacent

______________________________________

The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.

Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.

Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.

Because: 36 = Hypotenuse Side.

cos(72)° = Adjacent Side / Hypotenuse Side.

36 × cos(72°) =

36 × 0.309016994374... = 11.12461179749... ≈ 11.1

Answer:

Ummm give me a second let me solve this

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

Answer:

B x=13.5; y=10

this is answer

Step-by-step explanation:

Answer:

120.7 cm²

Step-by-step explanation:

2( 1 + √2 ) a² = 2( 1+ √2 ) · 5² ≈ 120.7

Answer:

45 pages in 1 hour

Step-by-step explanation:

Find the unit rate by dividing the number of pages by the number of hours

135/3

= 45

This means he can read 45 pages in 1 hour.

The unit rate is 45 pages in 1 hour.

Answer:

Ok since u want to learn ill teach you :)

Get your 3 points and then your do this

Example= 3 power of 2 plus 5 power of 2

Then ur gonna add and get your answer hope this helps

(if u still don't get it ill just give u the answer)

7.2

Step-by-step explanation:

Hope u kinda got a good start on this :)

Answer:

mathematics

Step-by-step explanation:

Answer:

h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r

Step-by-step explanation:

9514 1404 393

Answer:

  34 < x < 74

Step-by-step explanation:

Assuming we're concerned with a triangle, the third side must have a length between the difference and the sum of the two given sides.

  54 -20 < x < 54 +20

  34 < x < 74

Answer:

independent

Step-by-step explanation:

independent

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Answer:

I think 96° but not fully sure sorry if wrong

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Calculate the width of it,then add all the sides together.

Answer:

Let x represent minutes.

The inequality derived from the question is...

58 > 18 + 5x

Solve for x...

58 > 18 + 5x

58 - 18 > 5x

40 > 5x

40/5 > x

8 > x

So it will take more than 8 minutes to have 58 liters.

Step-by-step explanation:

Answer:

(3+ 5)2=8*2=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3+1*5)2

B- brackets

I- indices

D- division

M- multiplication

A- addition

S- subtraction

1*5=5

5+3=8

8*2=16

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

Answer:

For each number, there is a 1/6  probability of rolling it (so 1/6  for the 1 and also 1/6 for the 4).

This means that the probability of rolling either a 1 or a 4 on a given roll is  

1 /6 +   1 /6 = 2/6 = 1/3  

hope this answer helps you.....

Answer:

Is 1/6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The base of your cylinder has a radius of 4 cm, its area is 16 × 3.14, or 50,24 square centimeters. If that same cylinder is 12 cm tall, its volume is 50,24 × 12 = 602,88 cubic centimeters.

Hope this helps

Kind Regards

Farah Syed

Answer:

Shown Below

Step-by-step explanation:

WPT = 90

WPV =  30

VPT =  60

VPS = 90

RPS = 60

WPS = 120

QPS =  150