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

The prime factorization of a number is 2 with a small 3 at the top x9 explain why this is correct or incorrect?​

Answers

it is correct !!!!!!!

Find the quotient. Round to the nearest hundredth. 1,498 divided by 30

Answers

Answer:

Step-by-step explanation:

Math answers to fraction 1498 divided by 30 can be calculated as follows.

1498/30 math problems division = 49.9333333333. Therefore 49.9333333333 to 2 decimal places= 49.93

1498/30 divided by 2 » (1498/30) ÷ 2 » 49.9333333333 ÷ 2 = 24.9666666667

The x-intercept for the line 2x + 3y = 18 is (x, 0). What is the value of x?

Answers

Answer:

The answer is nine :)

Step-by-step explanation:

PLEASE I WILL GIVE YOU POINTS!

Answers

Answer:

None

Step-by-step explanation:

y=(2x)^(1/3)-7    wrong

y= -2(3x)^(1/6) wrong

y=-x^(1/2)+5 wrong

y=(x+2)^(1/4) wrong

1. (07.02)

What is the value of x in the equation 2x + 9 = 21?

2
6
9
15

Answers

Step-by-step explanation:

the correct answer is 6

Answer:

6

Step-by-step explanation:

Step 1:

2x + 9 = 21           Equation

Step 2:

2x = 12       Subtract 9 on both sides

Step 3:

x = 12 ÷ 2      Divide

Answer:

x = 6

Hope This Helps :)

HELP PLEASEEEE I GIVE BRAINLIest

Answers

Answer:

I believe it is the first answer

Step-by-step explanation:

-50 because it is being translated down 50, and the sloped are equal

It is C thank you very much

What equation does this map show?

Answers

Answer:

Oh, it's y=3x-4.

Because it's slope is 3 and it crosses through -4 on the y axis, we know that that would be the equation.

Good luck with the assignment man, let me know of anymore questions. :)

You have a multiple choice test of 25 questions with 4 choices for each question. You choose each answer at random and get 4 answers correct. What is the probability of that happening? Round to the nearest hundredth

Answers

Answer:

Wth.. Okay. The probablility is probably low, seeing as there is 25 questions. So I guess like .2? Not sure.

What is the slope of the line that passes through the points (4, 2) and (−16,−10)? Write your answer in simplest form

Answers

Step-by-step explanation:

slope = y2 - y1

__________

x2 - x1

slope = (-10 -2) / (-16 - 4)

slope = -12/-20

slope = 3/5

help neededdd.......

Answers

Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

16. Patrick turned out for the track team and lost 5.62 kilograms during the season. After the season
finished, he gained back 1.4 kilograms.
a. One of the decimals should be written as negative number. Which one is it and why?
b. Find the sum of the two numbers to determine the total change in Patrick's weight

Answers

Answer:

A: the 5.62 kilograms should be negative, since he is losing weight.

B: -5.62 + 1.4 is -4.22, which is how many kilograms Patrick lost in total.

Hope this helps :)

There are 32 Drama DVD's. The ratio of Drama DVD's to Mystery DVD's is
8:5. How many Mystery DVD's are there?

Answers

Answer:

20 Mystery DVD’s

Step-by-step explanation:

32/8=4

4*5=20

Answer:

There are 20 Mystery DVD's.

Step-by-step explanation:

Since the ratio of Drama to Mystery is 8:5, then we can conclude that 32:x is another equivalent form of the ratio, given that 32 represents drama, and x represents the unknown number of mystery.  

Set up the ratios as 8/5 as one fraction, and 32/x as another, but make them equal each other.  Cross multiply the numerators and denominators, then you will get 8x=160

divide both sides to solve for x.

x=20

Jason had a 15 foot long bed his sister had a 3 foot longer bed then Jason, How long is his sisters bed?

Answers

Answer:

18

Step-by-step explanation:

basic math :/

What is the volume and surface area of a cylinder whose height is 10 cm and the radius is 6 cm.


Answers

Answer:

V≈1130.97cm³

Step-by-step explanation:

crown n add me plzz

1. How many real solutions does the quadratic equation x?+9x= -8 have?​

Answers

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.

To the nearest​ millimeter, a cell phone is 120 mm long and 51 mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

51:120

Step-by-step explanation:

since 120 is length in mm, it is the y value

since 50 is width in mm it is the x value

51mm:120mm

What is the interval used in the frequency chart shown below?

Answers

A.4

took the test

╰(*°▽°*)╯(☞゚ヮ゚)☞

Answer:

the answer is a i got a hundred on that tes a year ago

Step-by-step explanation:

What is the answer for this plz??? I will mark brainliest!!!

Answers

Answer: 59 1/2

Step-by-step explanation:

Answer:

The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.

Step-by-step explanation:

-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]

-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]

QUESTION 10 of 10: You have a need to purchase 30 units of a product and have them delivered to your company in five days. The sale price is $35 each. Sales tax on the product is 8%. Shipping price is $15. But there is also a 25% rush charge on the sales price added for deliveries less than seven days, which is also taxable. What will be the total cost of this purchase? O a) $1,050.00 b) $1,327.50 Oc) $1,396.50 O d) $1,432.50​

Answers

Answer: d) $1,432.50​

Step-by-step explanation:

Sales price = $35

25% rush charge = 35 * 25% = $8.75

Rush charge is taxable = (35 + 8.75) * 8% = $3.5

Total purchase price per unit = 35 + 8.75 + 3.5 = $47.25

Total cost = Total Purchase + Shipping

= (47.25 * 30) + 15

= $1,432.50

Help me please *an image is attached*

Answers

Answer:

4

Step-by-step explanation:

Function of the graph shown: y=3x+4

Evaluate the double integral.
∫∫8y2dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

Answers

Answer:

[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]

Step-by-step explanation:

The equation of the line through the point [tex](x_o,y_o)[/tex] & [tex](x_1,y_1)[/tex] can be represented by:

[tex]y-y_o = m(x - x_o)[/tex]

Making m the subject;

[tex]m = \dfrac{y_1 - y_0}{x_1-x_0}[/tex]

we need to carry out the equation of the line through (0,1) and (1,2)

i.e

y - 1 = m(x - 0)

y - 1 = mx

where;

[tex]m= \dfrac{2-1}{1-0}[/tex]

m = 1

Thus;

y - 1 = (1)x

y - 1 = x ---- (1)

The equation of the line through (1,2) & (4,1) is:

y -2 = m (x - 1)

where;

[tex]m = \dfrac{1-2}{4-1}[/tex]

[tex]m = \dfrac{-1}{3}[/tex]

[tex]y-2 = -\dfrac{1}{3}(x-1)[/tex]

-3(y-2) = x - 1

-3y + 6 = x - 1

x = -3y + 7

Thus: for equation of two lines

x = y - 1

x = -3y + 7

i.e.

y - 1 = -3y + 7

y + 3y = 1 + 7

4y = 8

y = 2

Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7

[tex]\iint_D 8y^2 \ dA = \int^2_1 \int ^{-3y+7}_{y-1} \ 8y^2 \ dxdy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \int ^{-3y+7}_{y-1} \ y^2 \ dxdy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( \int^{-3y+7}_{y-1} \ dx \bigg) dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( [y^2(-3y+7-y+1)]\bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ([y^2(-4y+8)] \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \int^2_1 \bigg ( -4y^3+8y^2 \bigg ) \ dy[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [\dfrac{ -4y^4}{4}+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -y^4+\dfrac{8y^3}{3} \bigg ]^2_1[/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -2^4+\dfrac{8(2)^3}{3} + 1^4- \dfrac{8\times (1)^3}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -16+\dfrac{64}{3} + 1- \dfrac{8}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{64-8}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ -15+ \dfrac{56}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{-45+56}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA =8 \bigg [ \dfrac{11}{3}\bigg][/tex]

[tex]\iint_D 8y^2 \ dA = \dfrac{88}{3}[/tex]

what is the slope of (1,-3) and (-5,-4)

Answers

Answer:

slope is 1/6

Step-by-step explanation:

In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches. What will be the radius of the container, to the nearest tenth of an inch? volume being 258.75 cubic inches

Answers

Answer:

21.5625

Step-by-step explanation:

So You would divide 258.75 / 12 = 26.5625

The radius of container is 2.6 inch.

What is volume?

The amount of space occupied by a three dimensional figure as measured in cubic units.

Formula for the volume of cylinder

[tex]volume of cylinder= \pi r^{2} h[/tex]

where,

r is the radius

h is the height

According to the given question

shape of the container is cylindrical.

Height of the container, h = 12 inches

Volume of container = 258.75 cubic inches

for the radius of the container

volume of container = [tex]\pi r^{2}h[/tex]

258.75 = 3.14×[tex]r^{2}[/tex]×12

258.75 =37.68×[tex]r^{2}[/tex]

[tex]\frac{258.75}{37.68} =r^{2}[/tex]

[tex]6.9=r^{2}[/tex]

⇒ [tex]r = \sqrt{6.9} =2.62inch[/tex] = 2.6 inch

Hence, the radius of container is 2.6 inch.

Learn more about the volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

Workout the median 6266 6626 6622 6226 6662 6222 7466

Answers

Answer:

Step-by-step explanation:

the median would be 2,2 just the middle number/numbers if it has 1 # thats the median if it has 2 thats still the median

7 numbers middle is 6226

Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5

Answers

Parallel= same slope
Point slope: y - y1 = m(x - x1)
y + 5 = -2/3( x - 4)

it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his running time?

Answers

Answer:

25%

Step-by-step explanation:

28-21=7

7/28=×/100

7×100=700

700÷28=25

Answer:

7

Step-by-step explanation:

Okay so, 28-21 =07 right

7 as a percent is 700% and the limit is 100%

so 700%/100%= 7

Can somebody help me

Answers

Answer:

with?

Step-by-step explanation:

With what? Is there suppost to be a picture?

You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?

Answers

Answer: .12 grams of butter per cupcake

Step-by-step explanation:

1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?

Answers

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

[tex]V=\dfrac{1}{3}\pi (6)^2(9)[/tex]

[tex]V=\pi (36)(3)[/tex]

[tex]V=108\pi[/tex]

Therefore, the volume of the figure is [tex]108\pi[/tex] sq. units.

Solve for x
7x^2=1008

Answers

Answer:

x = {-12, 12}

Step-by-step explanation:

This is the steps and the answer! I hope this helps!
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