Mathematics College

Find x if USR is supplementary to RST.

Answers

Answer 1

Answer: 8

Step-by-step explanation:

Related Questions

Help please calculus

Answers

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0 ⇒ x² y = 216

∂C/∂y = 7x - 1512/y² = 0 ⇒ x y² = 216

It follows that

x² y = x y² ⇒ x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0 ⇒ x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 450 minutes and the cost was $139.50. In July she used 870 minutes and the cost was $244.50. A) Express the monthly cost C as a function of x , the number of minutes of calling time she used.

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So in July is C=139.50$
Minutes=450
X=450:139.50$

In June C=$244.50
Minutes=870
X=minute:C

The room is a cube with edge length 11 feet including the ceiling in the floor how much surface area must be painted

Answers

Answer: 726cm squared

Surface area is the area of all the faces added together.

If the area of one face is 11x11=121

Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.

A right triangle is shown. What is the value of x? Round to the nearest tenth.

Answers

Step-by-step explanation:

B²=a²+c²

12²=4.2²+c²

144=16.4+c²

144-16.4=c²

127.6=c²

√127.6=√c²

11.3=c

Which of the following is the graph of y = negative (x minus 2) cubed minus 5?

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Step-by-step explanation:

(x-2)^3 = x^3-6x^2+12x-8

-(x^3-6x^2+12x-8)=

-x^3+6x^2-12x+8

-x^3+6x^2-12x+8 -5=

y=-x^3+6x^2-12x+3

I attached the picture

Answer:

NOT D graph 4

Step-by-step explanation:

Please Help!!! . . . . .

Answers

PEMDAS. parenthesis, exponents, multiple or divide (whichever come first from left to right), add or subtract (whichever comes first from left to right)

So first do stuff in parenthesis.
Then do divide because thats next on the list and it happens earlier than the multiply one.

So, A

In a school, there are 6 floors and on each floor there are 8 classrooms. In each classrooms there are 40 students. How many total students are there in a school?

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1920 students in total just do 6*8*40

what is 26.4 ÷ 4.8 i need help

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Answer:

Step-by-step explanation:

Answer: 5.5

Expand 26.4/4.8 by multiplying both numerator and the denominator by 10.

264/48

Reduce the fraction 264/48 to lowest terms by extracting and canceling out 24.

11/2

Factor

11/2=5 1/2=5.5

hope this helps.

Mark me brainliest as well please.

Answer:

i know i said it in the text but it's 5.5

Step-by-step explanation:

Pls help what is the ratio and how do you find it

Answers

Answer:

1:1

Step-by-step explanation:

AM= a and MB= b

But M is the midpoint,

Therefore,

a= b (AM= MB)

AM + MB = AB

2AM = AB

AM= AB/2

RATIO OF AM to MB

AB/2 : AB/2

= 1:1

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e-
and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?

Answers

Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.

Step-by-step explanation:

What is the simple interest rate on a $520
investment that was left in an account for Z
years and earned $83.72 in interest?

Answers

16 2/3 or 16.6 repeated percent

Is 1/8 x 20 greater than or less than 20? Please explain!

Answers

Answer:

1/8x20 is less than 20

Step-by-step explanation:

Since we know that 1x20 is equal to 20, and 1/8 is 8 times smaller than 1, we know that 1/8x20 is 20 divided by 8 which is smaller than 20

I'm not sure how to find a Wrighteasyrement so how do I find it.

Answers

Response

I'm assuming that by 'wrighteasyrement' you meant weight measurement? If you need a conversion tool you can just look up ___ to ___ on (g-search engine). If you need the initial one, use a scale??? or a formular, you can also look those up, sorry, i'm not really sure what you're asking.

Students were surveyed about their preference between dogs and cats. The following two-way table displays
data for the sample of students who responded to the survey.
Approximately what percent of students in the sample prefer cats?
Round your answer to the nearest percent.
48
Preference
Male
Female
TOTAL
Prefers dogs
36
20
56
Prefers cats
10
26
36
No preference
2
6
8.
TOTAL
48
52
100
Not quite!
Try again. Get help or skip for now
Show Calculator

Answers

Answer 36% prefer cats

explained 36/100= 36%

A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
quadrilateral Y are congruent to those of
quadrilateral Z. The side lengths of quadrilateral
Z are twice as long as those of quadrilateral Y.
Which transformation on quadrilateral Y must be
included to result in quadrilateral Z?

Answers

Answer:

reflections Couse it keeps repeating y and z bit not sure

Step-by-step explanation:

I am sorry if it is the wrong answer

If y=x+4 then what is (x-y)^3

Answers

Answer:

Step-by-step explanation:

y = x + 4

y - x = 4

4^3 = 64

Giving brainliest to who will help!

Answers

Answer:

A C F G H J ARE THE FIGURES WHERE AB IS AN ALTITUDE

Find the Value of X.
Solve for X

Answers

Answer: x=21

Step-by-step explanation:

50-90=40

40=2x-2

2*21=42

42-2=40

x=21

There are 600 dishes that need to be rinsed. Eric can rinse them in 60 minutes by himself. It will take his friend Reuben 120 minutes to rinse these dishes. How long will it take them if they rinse these 600 dishes together?

Answers

I believe 3 hours, not sure. Wait and see if someone else answers!

calculate the shaded area

Answers

Answer:

42 cm²

Step-by-step explanation:

the length of the shaded area is the length of the white rectangle, that is

length = 7 cm

the width of the blue area is the length of the white rectangle subtract twice the width of the white rectangle, that is

width = 7 - (2 × 0.5) = 7 - 1 = 6 cm

shaded area = length × width = 7 × 6 = 42 cm²

Select the correct answer

Answers

Answer:

Step-by-step explanation:

it's B because if you put it as a mixed number it would be 21/2 ÷ 9/4 and then the rest is easy

Answer:

Step-by-step explanation:

4 2/3

Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus

Answers

Answer: diameter

Step-by-step explanation:

Answer:

diameter

Step-by-step explanation:

The diameter connects two points on the edge of a circle through it's centre.

someone pls help will give brainliest to the first to answer

Answers

Answer:

Help with what, I may be able to help. :)

1. Find the sum.
Use tiles to find 29 + 28.

Answers

Answer:

57?

Step-by-step explanation:

Jaws purchases 15 packages of baseball cards each package contains six cards how many total cards are in the six packages

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Answer:

Step-by-step explanation:

There are 15 packa of 6 cards in each pack. You could either do it the long way and count it out on paper or just times 15x6 and it equals 90.

Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
fencing will he need?
[?] feet

Answers

He would need 30 feet of fencing.

he would need 30 feet of fencing

what statement best describes the relationship between the side lengths and angle measures of teo triangles

Answers

Answer:

Figure RST is congruent to figure R’S’T’.

Step-by-step explanation:

if two angles in a triangle are 50 and 40, it must be a/an___________________triangle.

Answers

Answer:

right triangle

Step-by-step explanation:

Hey there!

A triangle has to have three vertices that add up to 180 degrees

The angle measurments 50 and 40 are already given and added up, they equal 90 degrees

Now out of 180 degrees, 90 degrees is already shown

What you need to do now is try to find how much more degrees you need to get 180 degrees

As you know 180-90=90

So this means that the missing angle is 90 degrees

Now that we know this, we can find out what type of triangle this is

Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle

A right triangle is a triangle that has an angle that is equal to 90 degrees

So this triangle is a right triangle

What is the interquartile range of this data 0, 5, 10, 15, 20,

Answers

Answer:

Step-by-step explanation:

The range from Q1 to Q3 is the interquartile range (IQR).

The interquartile range is the difference between the third and first quartiles.

The third quartile is 17.5.

The first quartile is 2.5.

The interquartile range = 17.5 - 2.5 = 15.

What are two ways the debt-to-gdp ratio can increase?

Answers

Answer:

GDP decreases and Debt increases

Step-by-step explanation:

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