A castle entrance has walls that can be modeled by the equation StartFraction x squared Over 10 squared EndFraction minus StartFraction y squared Over 30 squared EndFraction = 1 with units in feet. How wide is the entrance where the walls are closest together?

10 ft
20 ft
30 ft
60 ft

Answers

Answer 1

Answer:

20

Step-by-step explanation:


Related Questions

If a soccer team made 34 penalty shots out of 100, what fraction and what
percentage of penalty shots did the team miss?
O A.
34
100
I B. 66%
O
C.
66
100
D. 34%
E.
70
100
F. 0.34%

Answers

Answer:

66% Missed (Percentage Form)
66/100 Missed (Fraction Form)

Step-by-step explanation:

100-34 = 66

66/100 Shots missed

66/100 to percentage is 66%

66% shots have been missed.

12. Linda walks through a road. If her walking speed increases from 1 m/s to 1.5 m/s, she will complete the walk 200 s earlier. Find the distance travelled by Linda.​

Answers

Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

d = v * td = 1 * td = t       [Equation 1]

Case 2 : Speed of 1.5 m/s

d = v * td = 1.5 * (t - 200)d = 1.5t - 300 [Equation 2]

As distance in both cases is the same, equate the values of d from both equations.

t = 1.5t - 3000.5t = 300t = 300 * 2t = 600 s

Now, put the value of t in Equation 1 to find d.

d = 600 meters

Manuel Labore earns $19.50 / hr. and works an average of 38 hours a week. He is considering to renting a house for $1,700 / month. His real estate friend recommends he spends no more than 28% of his monthly income in housing.

A) What is 28% of Manuel’s monthly income?

B) Can he afford the home

Answers

Answer:

see below

Step-by-step explanation:

assuming 4 weeks in a month

$19.50 * 38 * 4 =  $ 2964   per month

.28 * 2964 = 829.92

He really cannot afford this rent......

Answer:

A.    $829.92        B. No

Step-by-step explanation:

A.   38 hours time $19.50 = $741 per week; Monthly: $741 x 4 = $2,964.00

      28% of monthy income = .28 x $2,964.00 = $829.94

B.  No, he can not afford the home.     Cost of the home is $1, 700.00

      ( No more than 28%) well 28% of $2,964 = $829.94

           

How many inches equal 2 and 1 ninth yards?

Answers

Answer:

2 1/9 yards will equal to 76 inches.

2-1/9 yards19/9yards

1 ward =3ft

19/9×319/3ft

Now

1ft=12in

19/3(12)19(4)76in

Can anyone answer the first one please?

Answers

Answer:

about 11.99 inches

Step-by-step explanation:

Using the formula for the volume of a right circular cylinder:

[tex]\pi {(4.5}^{2} )h = 763[/tex]

[tex]h = 11.994[/tex]

Help pls i need this today
:>
!!!

Answers

Answer:

c is the correct one

Step-by-step explanation:

6/8 = 0.75 > 4/8 = 0.5

your parents bought a boat for $60,000. The boat depreciate by 9.3% each yea. When will the boat be worth less than $10,000?

Answers


60,000 x 0.093 = 5580
60,000/5580 = 10.7526
= 11
We make our answer 11 because if we put our answer as 10 you will have more than 10,000 and you want to have less than 10,000

if m<1=2x+2 and m<2=9x, find m<1

Answers

Answer:

18/7

Step-by-step explanation:

Since m<2 includes 1, m<2 = m<1

9x = 2x + 2 ⇒ 7x = 2 ⇒ x = 2/7

m<1  = 2(2/7) + 2 = 4/7 + 14/7 = 18/7

can someone help with this?

Answers

The person above me got it right

Find the most important variable in the problem. How long does it take to drive 341 miles at 63 miles per hour? A. The rate of travel B. The time it takes to complete the trip C. The total distance of the trip

Answers

The time it takes to complete the trip

graphs of what functions? HELP PLSS

Answers

Answer:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Explanation

I hope help you and thanks for heart and rate my answer

helpp!!!

A package of balloons contains 4 red, 6 blue, 3 yellow, and 5 orange balloons. Javier will randomly choose one balloon from the package to blow up. He then will randomly choose a second balloon to blow up. What is the probability that Javier chooses an orange balloon and then a yellow balloon?

A 5/108
В. 5/ 102
с. 1/15
D. 1/6
e. 4/9​

Answers

Answer:

in my opinion the answer is 78

Step-by-step explanation:

you divide all of them then add akll tof them simple

Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.

Part A
Which shapes can you use to model the log and the board?

Answers

Answer:

log = cylinder

board = rectangular prism

Step-by-step explanation:

The log has a radius of 5 in and a length of 30 in.  

This implies that the cross-section is a circle, and so it can be modeled as a cylinder.

The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.

Therefore, it can be modeled as a rectangular prism.

48×92 what the answer

Answers

ANSWER 4,416 is the answer all you need to do is stack hope helps

A circular pizza has a diameter of 18 inches and is cut into 12 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices

9.8 straight pi inches squared

1.5 straight pi inches squared

6.8 straight pi inches squared

27.3 straight pi inches squared

Answers

Answer:

6.8

Step-by-step explanation:

23. Gheri is n years old. Carl is 6 years younger than Gheri and 2 years older than Jean. What is the sum of the ages of all three?​

Answers

n + n-6 + n-8 = 3n-14

write the following ratio as a fraction in lowest terms
5/3to7/6

Answers

10/7

hope it helps...!!!

An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/p - 4.142) x 100 where BF = body fat and p = density in g/cm3 A man weighs 175 pounds. His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm. Find his body fat percentage, based upon the given formula (to the nearest percent).

Answers

If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.

[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]

where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.

A man weighs 175 pounds.

His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.

Then the density will be

[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]

Then the Body fat percentage will be

[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]

More about the function link is given below.

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2 ≤ -1t Find variable of t

Please show your work

Answers

Answer:

t≤. -2

Step-by-step explanation:

2≤ -t

Dividing both sides by -1,

The sign flips over,

2/-1 ≥ -t/-1

-2≥t

t≤-2

What is the equation of the line that passes through the points (2,3) and (6,5)

Answers

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

We can find the slope by using the formula

[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].

Plugging in the points (2,3) and (6,5), we have

[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]

Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

We already found the slope, so we know the equation is of the form

[tex]y=\frac{1}{2}x+b.[/tex]

We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get

[tex]3=\frac{1}{2}(2)+b[/tex].

To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:

[tex]3=1+b[/tex]

[tex]b=3-1=2[/tex].

Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is

[tex]y=\frac{1}{2}x+2.[/tex]

Please Help !!!

Serena took two numbers which may or may not be integers, rounded
each of them up to the nearest integer, multiplied the results, and
got 100. When she took the original numbers, rounded each of them
down to the nearest integer and multiplied the results, she got X.
Find the largest possible value of X.
( The Answer is 202, please give a step by step solution)
Thank You

Answers

Recall (or "define", if you're not familiar) the so-called ceiling and floor functions, or least/greatest integer functions, respectively; for any integer n,

• ceiling function:

[tex]\lceil x \rceil = n \text{ if } n-1 < x \le n[/tex]

• floor function:

[tex]\lfloor x \rfloor = n \text{ if } n \le x < n+1[/tex]

Let x and y be the two numbers Serena picks. She finds that

[tex]\lceil x \rceil \lceil y \rceil = 100[/tex]

[tex]\lfloor x \rfloor \lfloor y \rfloor = X[/tex]

Assume x and y are not integers. Let m and n be two integers such that m - 1 < x < m and n - 1 < y < n. Then

[tex]\lceil x \rceil \lceil y \rceil = mn = 100[/tex]

so m and n are divisors of 100. There's a finite number of distinct divisor pairs (m, n) to consider,

(± 1, ± 100), (± 2, ± 50), (± 4, ± 25), (± 5, ± 5)

whose sums can be one of

± 101, ± 99, ± 52, ± 48, ± 29, ± 21, ± 10, 0

Similarly,

[tex]\lfloor x \rfloor \lfloor y \rfloor = (m-1)(n-1) = 101 - (m + n) = X[/tex]

which is maximized if the sum m + n is negative; the largest of these is m + n = -101, so the maximum value of X is 101 + 101 = 202.

The reasoning for the case of either x or y, or both, being integers is nearly identical.

4) The black square is a dilation of the blue square. What is the scale factor of the dilation?
A) 1/4
B) 1/3
C) 3
D) 4

Answers

The scale factor is 4 ! Hope this helped :)

13, 15, 17, x, 20, 21; The median is 18.

Answers

To find the median

 ⇒ must define what is a median

    ⇒Definition of median: middle number of an ordered set

Lets look at the information given

 Set when ordered: 13,15, 17,x,20,21     with median of 18

  ⇒ In this case, there is an even number of numbers

    ⇒ to find the median

       ⇒ must find average of two numbers closest to the middle

             ⇒ which are 'x' and '17' which is equal to the given median 18

Let's set up the equation:

  [tex]\frac{x+17}{2} =18\\x+17=36\\x=19[/tex]

Answer: x = 19

Hope that helps!

A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
What is the unit rate in meters per year?

Answers

Answer:

0.0893 meters per year

Step-by-step explanation:

1/4 is 0.252 4/5 is 2.8divide height by year to get height gain per year0.25/2.8 = 0. 0893 (to 3 SF)

The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method: Cell E: 8.39 x 10-² centimeters Cell F: 6.01 x 10-3 centimeters What's the difference between the diameters of the two cells? Express your answer using either standard notation or scientific notation.​

Answers

Answer:

  7.789×10^-2 = 0.07789 cm

Step-by-step explanation:

Your calculator can find the difference of the two given diameters and express it in any format you like.

The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.

__

The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.

  8.83×10^-2 - 6.01×10^-3

  = 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2

Alternatively, you can convert both numbers to standard form and do the subtraction that way.

  8.83×10^-2 - 6.01×10^-3

  = 0.0883 -0.00601 = 0.07789

_____

Additional comment

The second attachment shows the relationship between place values and their multiplier in scientific notation.

__

The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).

which diagram represents a cylinder with a base area equal to 50 square meters?
25 m
O
5 m
O
50 m
V=250m³
V=250m³
V=250лm³

Answers

Answer:

it's the third option

Step-by-step explanation:

Answer:

C: 5m      V=250πm3

Step-by-step explanation:

Proof:

A number is multiplied by 20, and that product is added to 5. The sum is equal to the product of 5 and 13.

Answers

Answer:

x = 3

Step-by-step explanation:

First, you will pick the first equation :

(x*20)

Then the next,

(x*20) + 5

Then the last equation,

(x*20) + 5 = 5*13

Then you solve

20x + 5 = 65

20x = 65 - 5

20x = 60

20x/20 = 60/20

x = 3

use the distributive property to wrtie an expression that is equivalent to 8(a+4)

Answers

If you are using the distributive property you multiply the 8 on the outside to each inside number. This would leave you with 8a+32. Since there are no other numbers provided I believe that would be your answer.

#5. Which equation represents the linear function shown in the table? *

х: 2, 4, 6
у: -1, -5, -9

O y = -2x + 3
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2

Answers

#5. Which equation represents the linear function shown in the table? *

х: 2, 4, 6

у: -1, -5, -9

O y = -2x + 3 ✓

putting the value of x as 2 & y as -1

⇢-1 = -2 x 2 +3

⇢-1 = -4+3

⇢-1 =-1

putting the value of x as 4 & y as -5

⇢-5 = -2 x 4 +3

⇢-5 = -8 +3

⇢-5 = -5

putting the value of x as 6 and y as -9

⇢ -9 = -2 x 6 +3

⇢ -9 = -12 +3

⇢ -9 = -9

O y = 2x + 3

O y = -3x + 2

O y = 3x - 2

The solution is, O y = -2x + 3,  represents the linear function shown in the table.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

let the equation be y = -2x + 3.

putting the value of x as 2 & y as -1

⇢-1 = -2 x 2 +3

⇢-1 = -4+3

⇢-1 =-1 ✓

putting the value of x as 4 & y as -5

⇢-5 = -2 x 4 +3

⇢-5 = -8 +3

⇢-5 = -5 ✓

putting the value of x as 6 and y as -9

⇢ -9 = -2 x 6 +3

⇢ -9 = -12 +3

⇢ -9 = -9 ✓

we get, that this satisfies the conditions,

so, we have, O y = -2x + 3

Hence, The solution is, O y = -2x + 3,  represents the linear function shown in the table.

To learn more on function click:

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HELLPPPP Im DYING NOT really tho

Answers

Answer:

More pencils than pens

Step-by-step explanation:

Other Questions
please help me with the question During a 6-week weight-loss regimen, Tony lost weight at a rate of 1.1 pounds per day. How much did he lose after 16 days? After weeks? Read the adapted excerpt from "What is an Aquarium?" by Shirley Hibberd.The term vivarium applies to any collection of animals-to a park of deer, a rabbit warren, a menagerie, or even a traveling show containing anasthmatic lion, a seedy cockatoo, and a pair of snakes that are hourly stirred up with a long pole. For this reason, such a term could neverconvey the very special idea of a vessel containing such specimens as form the stock of the aquarium. When this was felt, the prefix aqua wasadded to vivarium, to convey the idea of the watery medium in which the specimens are immersed.Which sentence correctly paraphrases and cites the excerpt?O A. The term vivarium applies to any collection of animals-to a parkof deer, a rabbit warren, a menagerie, or even a traveling showcontaining an asthmatic lion, a seedy cockatoo, and a pair of snakes. B. The word vivarium was insufficient to describe the unique enclosuresused to house animals that live in water, so Ne added themore specific prefix aqua to the term.O C. The word vivarium is a broader term thatapplies to any enclosure for animals, so to describe tanks made just for underwatercreatures, we created the term aqua-vivarium (Hibberd). D. The term vivarium applies to the veryspecial idea of a vessel containing such specimens as underwater creatures, conveying thewatery medium in which the specimens are immersed (Hibberd). A ________ state is one with unstable leadership, whose policies are driven by ideology rather than by economic or human costs and benefits. Simplify: 173295+33+115 Can you pls help me Which of following best explains how king's forms of protest built upon what gandhi had done?A) King gave protesters an alternative to being arrested.B) King made Gandhis model more confrontational.C) King taught people how to resist more passively than GandhisD) King required protesters to endure brutality unlike those of Gandhis. describe a woman pregnant for the theird time who lost one pregnancy and who carried two previous pregnanices to term Yo_______ la guitarra en la fiesta de cumpleanos de AnaA. TocaronB. TocasteC. ToqueD. Toco*Past Tense The long threadlike structures made up of thin and thick filaments in the muscles are known as ciliaO TrueO False write the algebraic expression that matches each graph. 20 POINTS + BRAINLEIST Which statement best describes the relationship between ocean CO2 and pH?Question 3 options:When CO2 increases, pH increases and acidity decreases.When CO2 increases, pH decreases and acidity increases.When CO2 increases, pH decreases and acidity decreases.There is no relationship between CO2 and pH You can help make a difference in the environment at home, school, or on the go. listsinspiresreasonsargues please answer now!!!!!!!!!!!!!!!!!!!the old iron rooster screeched at night what is it ?A HYBERBOLE B METAPHORC PERSONIFICATION D SIMILE What kinds of things are you more likely to see in a city than in the country? Check all that apply. O A. Violent crime B. A wider selection of goods and services C. Cultural mixing D. A slower pace There is more than one answer Sammy has a bag with 3 white marbles, 4 yellowmarbles, and 5 green marbles. What is theprobability of drawing a white marble followedby a yellow marble, without replacing the whitemarble? HELP LOVE Which word in this sentence is a conjunction?Ania loves cats, yet she is allergic.Choose 1 answer:Ania , love , cats, yet , she , is allergic What do you remember about the religions founded in india?. Most earthquakes are a result of a. Erosion of bedrock. B. Mantle upwelling. C. Movement of rocks along faults. D. A sudden change in atmospheric pressure Which type of cell is shown in the following image?