A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner?
56 ft

47 ft

50 ft

53 ft

Answers

Answer 1

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.


Related Questions

3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually. (a) Write an equation to represent the amount of money in the account as a function of time in years. (b) Find the amount of time it takes for the account balance to reach $800. Show your work. Answer:

Answers

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Select the graph of the equation y + x + 3 = 0.

Answers

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit

Help pelsss thank you math sucks

Answers

Answer:

103

Step-by-step explanation:

180-77=103

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:

Unit 4 Solving Quadratic equations {and complex number}

Answers

1.) a=5, b=9, c=-4
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm

What is the average rate of change on the interval from 3 to 9?
Enter your answer in the grid below. Make sure your answer contain

Answers

Answer:

5

Step-by-step explanation:

It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?​

Answers

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

What is meant by a circle's diameter?

Answers

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

help!!?1!1!1!1!1!1!1?1?1!?1?1!1?1!1?1?1?1?1??1?1!1

Answers

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

What is Rounding off?

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

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

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

classyfying triangles unit 4

Answers

Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

help as soon as possible
The greatest common factor of y^4. y^6 and y^5 is

Answers

Answer:

Answer:GCF: y^4

Step-by-step explanation:

Factors of:

y^4= (y) (y) (y) (y) = y^4 (1)

y^5 = (y) (y) (y) (y) (y) = y^4 (y)

y^6 = (y) (y) (y) (y) (y) (y) = y^4(y^2)

Simplify 8 to the second power plus 2

Answers

8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

what is the area of 146km 6.3km and 5.4km

Answers

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

HELP!!!!
Solve, 4/9 - 4/10

Answers

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

4/9 times 10 = 40/90
4/10 times 9 = 36/90
40/90-36/90= 4/90 or 2/45 (simplified)

Two angles are supplementary. The larger angle is 28∘ more than the smaller angle. Find the measure of the larger angle.

Answers

Supplementary means that the angles together equal 180°

So we simply do 180 - 28 = 152°

Hope this helps!

3 + 6 x (5 + 4) ÷ 3 -7?

Answers

Answer:

Answer: 14

Step-by-step explanation:

[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]

Use technology to find points and graph the line -4y=-x+20

plotting on a graph

Answers

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

which expression represents 100 less than 3 times the sum of 18 and 2

Answers

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:

Scott bought
1
6
ton of rocks. Scott and 9 of his neighbors shared the rocks equally. What fraction of a ton of rocks will each person get?

Answers

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

૮ ・ﻌ・ა

17. Solve for x: 3xyz
i need help i would be very grateful ty :)

Answers

Answer:

C. x = P/3yz

Step-by-step explanation:

Given equation:

3xyz = P

Solve for x, divide both sides by 3yz:

3xyz/3yz = P/3yzx = P/3yz

Correct choice is C

Help me please I'm stuck on this question​

Answers

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

Pls help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See below:

Step-by-step explanation:

First fill in:

180* . Every triangle has interior measurments of 180* total

Second fill in: Reason is definition of sum of triangle's interior angles

Third fill in: 2x. Everything in this equation is asking for the angles. First angle is 28, second angle is 2x, and third angle is x-4.

Fourth fill in: x=52

I found this by doing the following:

First, 180-28, so we can see how many degree we are left with.

152.

Now, make an equation:

152=2x+x-4

Simplify

152=3x-4

Add 4 to both sides to cancel out the -4.

156=3x

divide 156/3=52.

Now we know that x=52.

Although the question doesn't ask for this, you would now substitue 52 back into each of the equations to find that degree. For example, 2x=2(52), or 104*.

Answer:

See image

Step-by-step explanation:

All the angles of a triangle add up to 180°

The given diagram shows all the measures: 28°, x - 4° , and 2x

So add them up, set equal to 180 and solve for x. Combine like terms and subtract 24 from both sides of the equation. Divide both sides by 3. x = 52

Help I will give brainlest

Answers

8(x+18) is less than or equal to 19


If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.

Answers

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

what is the answer this math problem?​

Answers

Answer:

HLO Mate here is ur answer

Two wheelchair ramps, each 10 feet long, lead to the two ends of the entrance porch of Mr. Bell's restaurant. The two ends of the porch are at the same height from the ground, and the start of each ramp is the same distance from the base of the porch. The angle of the first ramp to the ground is 24°.

Answers

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

What is x + 1 and x + 2

Answers

Answer:

I don't get what you're asking.

Do you want me to solve for x? :D

(✿◡‿◡) HAPPY HOLIDAYS!!!

Ok so you add them up and you should get X=1 and X=2 that should be it!!

Evaluate 2/3p + 3 when p = 3/5=

Answers

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

Name the triangle as described

Answers

Answer:

scalene triangle

Step-by-step explanation:

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