what is the length of rs? ​

What Is The Length Of Rs?

Answers

Answer 1

Answer:

SR=15units

‹RTQ=90° since ‹RTQ and ‹RTS are supplementary

Given that ‹RTQ is a right angle then RTQ is a right-angled triangle making RQ the hypotenuse

With that knowledge we calculate RT using Pythagorean theorem

RT=√(20)²-(16)²

RT=√400-256

RT=√144=12units

Now for triangle RST, SR is the hypotenuse and should have the longest length whose adjacent,ST should also sum up with 16 to give a number which when combined will give the square root of the sum of the squares of RQ and SR

Plug in 9 for ST and SR becomes

√(12)²+(9)²=√144+81=√225=15 units

This is true because SQ=16+9=25 units

and using Triangle RSQ,

SQ=√(20)²+(15)²=√400+225=√625=25 units


Related Questions

3x + y = 15 What is the solution of this system of equations? (5x+2y=-4​

Answers

Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

Evaluate the expression when x = 32 and y = 2.

x over 4y

Answers

Answer:

4

Step-by-step explanation:

[tex]\frac{32}{4x2}[/tex]

[tex]\frac{32}{8}[/tex]

[tex]\frac{16}{4}[/tex]

[tex]\frac{4}{1}[/tex]

4

Helppppppp:))))))).......

Answers

Answer:

y=6 is the correct answer

What is the answer to -7(-6)

Answers

Answer:

42

Step-by-step explanation:

Hope this helps and have a great day! :)

Answer: -7(-6) is 42

hope this helps :)

Step-by-step explanation:

when You multiply two negative numbers, the answer is positive.

find the value of x 2x = 98² - 2²​

Answers

Answer:

x = 4800

Step-by-step explanation:

2x = 98^2 - 2^2

2x = 9604 - 4

2x = 9600

x  = 4800

Answer:

x = 4800

Step-by-step explanation:

98^2=9604

2x=9604-2^2

2^2=4

2x=9604-4

2x=9600

2x/2 = 9600/2

x = 4800

Find the slope please help!

Answers

Answer:

4.5 is the answer 9/2=4.5

Step-by-step explanation:

The ratio of men to women at Sarah’s party is 4 to 5. If there are fifteen women at the party, how many men are there? How many guests are there all together?

Answers

Answer:

12 Men, 27 men and women together.

Step-by-step explanation:

Well we know there are 15 women. The ratio of men to women is 4:5 so that means every 4 men, there are 5 women. If we divide 15 by 5, we get 3. Now we multiply 3 to the number of men which is 4 because what happens to one part of the ratio then happens to the next. Added together, 12 plus 15 equals 27 so that is the total. Hope this helps!

Does 10 × 3 4 have a value less than, greater than, or equal to 10?

Answers

Answer:

No or Less than

Step-by-step explanation:

No. 10*3/4 is not. 3/4 is less than 1, so it is not equal Your answer is less than.

Hope this helps Hit that crown !!!

Answer:

I think the answer is greater than

A soup recipe requires 40 fluid ounces of water. How many pints of
water does the soup recipe need?

Answers

Answer:

US Pints: 2.5, Imperial Pints: ~2.1 (If you live in the US, do 2.5, but if not, then do ~2.1.)

Step-by-step explanation:

To do this, we need to convert fluid ounces to US pints. To do this, you divide the amount of fluid ounces by 16. When we divide 40 by 16, we get 2.5. This means that the soup needs 2.5 pints of water. If you are talking about imperial pints, then we divide the amount of fluid ounces by 19.215. This gets us 2.08, which we can round to 2.1. If you live in the US, do 2.5, but if not, then do ~2.1. I hope this helps!

a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years​

Answers

Answer:

2950$

Step-by-step explanation:

2500×5%=125$

125×2=250$

2500+250=3960$

A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x + 4)² = -16(y + 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)²  = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus at (-4, -5)

h = -4

∴ k + p = -5 ⇒ (1)

∵ The directrix at y = 3

∴ k - p = 3 ⇒ (2)

→ Add equations (1) and (2) to find k

∴ 2k = -2

→ Divide both sides by 2 to find k

k = -1

→ Substitute it in equation (1) to find p

∵  -1 + p = -5

→ Add both sides by 1

∴ -1 + 1 + p = -5 + 1

p = -4

→ Substitute the values of h, k, and p in the formula above

∵ (x - -4)² = 4(-4)(y - -1)

∴ (x + 4)² = -16(y + 1)

The equation of the parabola is (x + 4)² = -16(y + 1)

The area of a rectangular painting is 8428 cm² If the width of the painting is 86 cm, what is its length?​

Answers

9514 1404 393

Answer:

  98 cm

Step-by-step explanation:

Area is the product of length and width. Fill in the given numbers in the formula and solve for length:

  A = LW

  8428 cm² = (86 cm)L

  L = 8428 cm²/(86 cm) = 98 cm . . . . . divide both sides by 86 cm

The length of the painting is 98 cm.

The tax rate for a motel is 18%. How much will you pay in taxes for a room that costs $108? 

Answers

Answer:

$19.44

Step-by-step explanation:

$108 x 18% = $19.44

please help me, i will give 15 points and brainleist

Answers

Answer:

3 + 0.25x

Step-by step answer:

1. add like terms inside the bracket 8+4=12

2. divide each term in bracket by 4

12/4 = 3

x/4 = 0.25x

Answer:

Step-by-step explanation:

1/4(8+4+x)=

1/4(12+x)=

3+ x/4

How do you perform a Fourier transform of the Weierstrass function (Fourier series, Fourier transform, math)?
No answer needed - take the points.

Answers

omg thank u sooo much for the points!! :D

What is slope of the equation? 7x -2y = -10

Answers

Answer:

m = 7/2

Step-by-step explanation:

Brainliest Please!!?!!!!

Answer:

m=7/2

Step-by-step explanation:

The median age of the science teachers at Mike's school is the same as the median age of the math teachers, but the
ages of the math teachers show greater variability. Which statement most likely describes the data sets?
O The difference in ages between the oldest and youngest math teachers is greater than the difference in ages
between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike's school.
The average age of the math teachers at Mike's school is greater than the average age of the science teachers.
The oldest teacher in Mike's school is a mathematics teacher.
dyit

Answers

Answer:

A

Step-by-step explanation:

THe guy above me explained

The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.

Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

Learn more about medians here: https://brainly.com/question/28060453
#SPJ6

what is the greatest common factor of 3/5

Answers

Answer:

15

Step-by-step explanation:

3 × 5 = 15

Hope this helped <3

the answer is 3/5.. like i’m not joking

Answer the question for brainliest.
(Simplify Please)

Answers

[tex]1 \frac{2}{5} m - \frac{3}{5} ( \frac{2}{3} m + 1)[/tex]

[tex]\frac{7}{5} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex] \frac{21}{15} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex]( \frac{(21 - 6)m}{15} ) - \frac{3}{5} [/tex]

[tex] \frac{15}{15} m - \frac{3}{5} [/tex]

[tex]1m - \frac{3}{5} [/tex]

[tex]m - \frac{3}{5} [/tex]

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
-6
-4
4
6

Answers

6
If you subtract it from two or 14 from eight or 24 or 26 for 20 can all see that they are subtracted by six
2 4 6 8 10 12 14 16

A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches. How far are the two cities in real life?

Answers

Answer:

56 miles

Step-by-step explanation:

please please please help me i’ll mark brainliest

Answers

Given:

The graph of a function f(x).

To find:

The solution set for f(x)>0 and f(x)≤0.

Solution:

From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.

The graph is above the x-axis before -4 and between -3 and -2.

So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].

The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.

So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].

(tan x - 1) (sin^2x - 3) =0
no answer necessary

Answers

Answer:

0

Step-by-step explanation:

Thx

Estimate the quotient for 5,738 divided by 21

Answers

Answer:

its 273 rounded but say 270

Step-by-step explanation:

The estimate is 270.

The graph of the equation x + 3y = 6
intersects the y-axis at the point whose
coordinates are: (Find the y intercept)
which answer?
(0,2)
(0,6)
(0,18)
(6,0)


Answers

Plug in 0 for x
0 + 3y = 6
Divide by 3
Y = 2
The point is (0,2)

Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
A.-$134
B.$134
C.$604
D.-$604

Answers

Answer:

C. 604

Step-by-step explanation:

Karana returned the items so you are adding the money back to the credit card which would be 604.  369 + 235 = 604

marissa can read 15 pages in 5 minutes and 30 seconds how long will it take for her to read 105 pages ​

Answers

Answer:

38.5 minutes

Step-by-step explanation:

105 divided by 15=7

7 x 5 minutes and 30 seconds is 38.5 minutes

What is the y coordinate of the solution

Answers

Answer:

8

Explanation:

3x-7=x^2-7x+18

X= 5

Y=3(5)-7 aka 15-7

=8

what does nonlinear mean?

Answers

It’s not linear




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

Answer:

Not denoting, involving, or arranged in a straight line.

Step-by-step explanation:

I looked it uo on google

im not SmArT

3x + 2(4 + 6x) = 113

Explain what you did in each step of your solution.

Answers

PEMDAS (parenthesis, exponents, multiplication, division, addition, subraction)

Answer:

x = 7

Step-by-step explanation:

So first, multiply everything inside the (   ) by 2

So then, the equation will look like this: 3x + 8 + 12x = 113

Then, combine like terms, which leave the equation to look like this:

15x + 8 = 113

Then subtract 8 from both sides, leaving the equation like this : 15x = 105

Last step, divide both sides by 15, which leave you with x = 7

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