The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim

Answers

Answer 1

Answer:

55.9 m

Step-by-step explanation:

If you swam from one cornee to the other, you divide the rectangle into 2 right triangles

the diagonal is a common hypothenus of the triangles

applying pytha

C² = A² + B²

C² = 25² + 50²

C² = 625 + 2500

C² = 3125

C = sqrt 3125

C = 55.9 m

Answer 2

Answer:

105 cubic meters

Step-by-step explanation:


Related Questions

Select the two values of x that are roots of this equation.​

Answers

Answer:

C and D :)

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

If B (x,y)=(x-3,y+5), what is B(4,7)?

Can anyone help me please

Answers

Answer:

(B (4, 7 ) = (1, 12 )

Step-by-step explanation:

given

B (x, y ) = (x - 3, y + 5 ) , then

B (4, 7 ) = (4 - 3, 7 + 5 ) = (1, 12 )

-2 (3x -5) -2= 22 - 68

Answers

Answer:

9

Step-by-step explanation:

Answer:

i belive the awnser is 9

Step-by-step explanation:

Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?

Answers

Answer:

4t = 6(t - 1/2)

Step-by-step explanation:

For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.

What is the mean of the following data set?

3.245, 3.678, 3.3, 2.499, 2.9, 3.206, 2.081

Answers

Answer:

2.987

Step-by-step explanation:

The mean is calculated by dividing the sum of the terms by the # of terms.

For this problem, add all of the terms together:

3.245 + 3.678 + 3.3 + 2.499 + 2.9 + 3.206 + 2.081 = 20.909

Now, divide the product by the number of terms there are. There are 7 terms.

20.909 ÷ 7 = 2.987

An integer number is chosen randomly between 1 and 1000. What is the probability that the number picked is divisible by 3 or 5 (i. E. , either 3 or 5 or both)?

Answers

Answer:

Umm..... sorry but.....my answer came.......

The probability that the number picked is divisible by 3 or 5 is 0.555.

What is probability?

Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

An integer number is chosen randomly between 1 and 1000.

The number of numbers divisible by 3, which is;

[tex]\rm \dfrac{1000}{3}=3333.3 = 333[/tex]

The number of numbers divisible by 5, which is;

[tex]\rm \dfrac{1000}{5}=200[/tex]

The probability that the number picked is divisible by 3 or 5 is;

[tex]\rm Probability=\dfrac{Number \ divisble \ by \ 3+ Number \ divisble \ by \ 5}{1000}\\\\ Probability =\dfrac{333+200}{1000}\\\\Probability=\dfrac{533}{1000}\\\\Probability=0.533[/tex]

Hence, the probability that the number picked is divisible by 3 or 5 is 0.555.

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What is the area of the patio if the yard is 12 feet on each side?
How do I do this?

Answers

Answer:

144 feet squared

Step-by-step explanation:

Squares are 4 sided shapes that have an equal length on each side.

Area Formula

The area of a square (or rectangle) is [tex]l*w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. Due to the fact that squares have four equal sides, the formula can be rewritten as [tex]l^2[/tex].

Solving For Area

Plug the length value into the formula.

[tex]12^2=144[/tex]

Then, add the units to the answer. Because the length is multiplied by itself and the original unit is feet, the units are feet squared.

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80

Answers

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]

In the 10 years, the refund she gets,

[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]

Interest paid by her is,

[tex]I=7594.8-5500\\I=2094.8[/tex]

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

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Answer: D

Step-by-step explanation:

Find an angle between 0 degrees and 360 degrees that is coterminal with 950 degrees

Answers

Answer:

40 degrees

Step-by-step explanation:

(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).

-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:

-1400 degrees+(360 degrees*4)

=-1400 degrees+1440

=40 degrees

so the answer is 40 degrees

Amir subtracted a quantity from the polynomial 3x2+8x−16 and produced the expression x2−4. What quantity did Amir subtract? Explain how you got your answer. To get you started:
3x2+8x−16 minus [SOMETHING] = x2−4
What is the [SOMETHING]??

Answers

The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

How do you Subtract Polynomials?

To subtract polynomials from each other, take like terms together and subtract.

To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:

(3x² + 8x - 16) - (x² - 4)

Open bracket

3x² + 8x - 16 - x² + 4

Combine like terms

2x² + 8x - 12

Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

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A box of sunflower seeds contains p packets. Each packet of sunflower seeds contains s seeds. Which equation can be used to find the number of sunflower seeds in a box, b? *
5 points
p = sb
s = pb
b = sp
b + s = p

Answers

Answer:

b = sp

Step-by-step explanation:

box = seeds per packet

The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

What are equations?

Equations are relations shown between two equal algebraic expressions.

How do we solve the given question?

We are given a box of sunflower seeds, containing p packets of seeds, each of which contains s number of seeds.

We are asked to write an equation that can be used to find the total number of seeds in the box, b.

We know that the box contains p packets of seeds.

In 1 packet we have s number of seeds.

∴ In p packets, we will have an s*p number of seeds or sp seeds.

Since the box contains p packets and the total number of seeds in the box is b, then we can say that

b = the number of seeds in p packets

or, b = sp, which is the required equation.

∴ The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

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Hailey paid 40$ for a jacket whose regular price was 50$. What percent of the regular price did hailey pay?

Answers

Answer:

Step-by-step explanation:

Hailey paid 80% of the regular price.

What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Hailey who paid 40$ for a jacket whose regular price was 50$.

Assume that she paid [x]% of the regular price.

Then, we can write -

40 = x% of 50

40 = (x/100) x 50

x = (4000/50)

x = 80%

Therefore, Hailey paid 80% of the regular price.

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what is 122 / 600?
[tex]122 \div 600[/tex]

Answers

the answer : 0.20333333333

Answer:122/600= 0.20333333333

Step-by-step explanation:

van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat

Answers

Answer:

10.66

Step-by-step explanation:

16/3 = 5.3

5.3 x 2 = 10.66

Have an amazing day!

Please rate and mark brainliest!

Simplify this please
(5ab²c)^2

Answers

Answer:

25a^2b^4c^2

Step-by-step explanation:

step 1:

Remove the bracket by multiplying all the power inside the bracket with the power outside the bracket.

5^2a^2b^2x2c^2=25a^2b^4c^2

Why is the Area for my shape not correct and can you explain why?

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have given

2 squares , In which 1 square is enclosed within the another square and it arranged in a form that it forms 4 right angled triangle The height and base of the given right angled triangles are 6 and 3 each.

We know that,

Area of triangle

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]

Subsitute the required values,

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]

[tex]\sf{ = 3 {\times} 3 }[/tex]

[tex]\bold{ = 9 }[/tex]

Therefore,

Area covered by 4 right angled triangles

[tex]\sf{ = 4 {\times} 9 }[/tex]

[tex]\bold{ = 36}[/tex]

Now,

We have to find the area of the big square

The length of the side of the big square[tex]\sf{ = 6 + 3 = 9 }[/tex]

We know that,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 9 {\times} 9 }[/tex]

[tex]\bold{ = 81 }[/tex]

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

[tex]\sf{ = 81 - 36 }[/tex]

[tex]\bold{ = 45 }[/tex]

Hence, The total area of shaded region is 45 .

Part 2 :-

Here,

We have to find the area of non shaded region

According to the question

Hypotenuse = The length of square

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

This theorem states that the sum of the squares of the base and perpendicular height is equal to the square of hypotenuse.

That is,

[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]

Subsitute the required values

[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]

[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]

[tex]\sf{ x = \sqrt{45}}[/tex]

[tex]\bold{ x = 6.7 }[/tex]

That means,

The length of the small square = 6.7

We know that ,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]

[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

[tex]\sf{ = 81 - 44.9 }[/tex]

[tex]\bold{ = 36.1 }[/tex]

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Part 3 :-

Here, we have to

find the total area of the figure

Therefore,

The total area of the figure

= Non shaded region + Shaded region

[tex]\sf{= 36 + 45 }[/tex]

[tex]\bold{= 81}[/tex]

Hence, The total area of the given figure is 81 .

Math, help, please!
Find the value of x

Answers

Answer:

x = 130

Step-by-step explanation:

A triangle always adds up to 180 de grees. If we do this we can find the value of x!!

33 + 97 + y = 180

130 + y = 180

180 - 130 = 50

Since the line x is on is a flat line and a flat line also equals 180, we will subtract the 50 from 180 to get x's value

180 - 50 = 130

Your answer is 130 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

x = 50°

Step-by-step explanation:

if you know the measure of two angles in a triangle then the third angle measure will be 180 minus the sum of the other two

in this case the two interior angles add to 130

180-130 = 50

check:   33 + 97 + 50 should equal 180, and it does

What is zero raised to the power zero?​

Answers

I believe the answer is one.

Answer:

1

Step-by-step explanation:

this is because anything to the power of zero is 1

please help for 10 points

Answers

It’s B 23/6 hope it’s help

What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeters?
Enter your answer in the box.

V = cm³

Answers

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

Find the area of the triangle b= 12.4 cm and h= 18 cm

Answers

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

We know base = 12.4, and height = 18(12.4 x 18) / 2 = 111.6

Hope this helps!!

Answer:

answer 111.6 cm^2.......

what is the algabric way to find the area of a triangle

Answers

The parameters for computing the area of triangle is first listed out and the expression for the area of triangle was used to find the algebraic method

Area of Triangle

Parameters for find the area of triangle are

BaseHeight

Let the base be x, and let the height be y

We know that the expression for the area of triangle is given as

Area = 1/2 (Bass* Height)

Substituting our parameters we have

Area = 1/2*x*y

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The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle?​

Answers

Answer:

10

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=10

2=5

is x-1 taking away an x or adding an x?? im trying to find the perimeter of area tiles, and the perimeter is x + x + x + (x-1) + 1 + 1 + 1 so would it be 2x+3 or 4x + 3??

Answers

Answer:

4x + 2

Step-by-step explanation:

x - 1 is adding an x and subtracting a 1 ,so

x + x + x + (x - 1) + 1 + 1 + 1

= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms

= 4x + 2

A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?

Answers

Answer: 4:18

Work:

2:9

2 inch:9 feet

2 · 9 = 18

2 · 2 = 4

4 inch:18 feet

An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. What are the appropriate hypotheses?

H0: μ = 76.4 versus Ha: μ < 76.4, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ < 77.1, where μ = the true mean height of all trucks
H0: μ = 76.4 versus Ha: μ > 77.1, where μ = the true mean height of all trucks

Answers

The Hypotheses are; Null Hypothesis; H₀: μ = 76.4 and Alternative Hypothesis; Hₐ: μ > 76.4 where μ is the true mean height of all trucks.

How to Define Hypotheses?

We are given;

Population Mean; μ = 76.4 inches

Sample Mean; x' = 77.1 inches

Sample standard deviation; s = 5.2 inches

Sample size; n = 100 trucks

Now we can thus define the hypotheses as;

Null Hypothesis; H₀: μ = 76.4

Alternative Hypothesis; Hₐ: μ > 76.4

where μ is the true mean height of all trucks

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What is the value of x? sin(x 37)°=cos(2x 8)° enter your answer in the box. x =

Answers

Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53

x
)

a. 2x + 8 = 53 - x
3x = 45
x
=
15


b. 2x + 8 = - 53 + x
x
=

61


For general answers, add
k
360


Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved

The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.

How to convert sine of an angle to some angle of cosine?

We can use the fact that:

[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]

to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).

For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.

Converting sine to cosine, we get:

[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]

Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]

where n = an integer (positive, negative, or zero).

or

[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]

This is the general solution of the considered equation.

Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:

[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]

The first inequality gives:

[tex]-37 \leq x \leq 323[/tex]

The second inequality gives:

[tex]-4 \leq x \leq 176[/tex]

We need to satisfy both the inequalities, so the final boundaries on x are:

[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).

n = -2 gives x = 255n = -1 gives x = 135n = 0 gives x = 15n = 1 gives x =  -105

n < -2 gives x > 255, and n > 1 gives x < -105

So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0

Thus, x = either 135 or 15

sin

Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15

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i dont understand this question im very bad at maths

Answers

the volume for a cuboid is length • width • height
so it’s 2400
Answer:

2400cm³

Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex]

             [tex]=300\times 8\\ =2400cm^3[/tex]

[tex](Analyze\ the\ information\ carefully)[/tex]

I hope this helps you

:)

On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?

Answers

Answer:

105,000

Step-by-step explanation:

I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map

If I have 1 and 10 dollar bill and 4 quarters, that makes 15$.

Answers

Hey there!

$10.00 + 0.25¢ + 0.25¢ + 0.25¢ + 0.25¢

= $10.25 + 0.25¢ + 0.25¢ + 0.25¢
= $10.50 + 0.25¢ + 0.25¢

= $10.75 + 0.25¢

= $11.00


OR YOU COULD READ THE EQUATION LIKE:

$10.00 + $1.00

= $11.00


Thus, your answer is: FALSE because $10 + 4 quarters gives you $11 NOT $15


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

False

Step-by-step explanation:

$10+$1=$11 and .25+.25+.25+.25=$1

which would equal $12 so your answer would be falses if thats what your asking

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