The area of a gymnasium is 956 yd2. The width of the gymnasium is 4 yd longer than its length. Find the length and width of the gymnasium (round to the nearest yard). Include a labeled diagram in your work for full credit?

Answers

Answer 1

Answer:

L = 29

w = 33

Step-by-step explanation:

  Area = w × L

           = (L + 4) × L

⇔ 956 = L² + 4L

⇔ 956 = (L + 2)² − 4

⇔ 956 + 4 = (L + 2)²

⇔ 960 = (L + 2)²

[tex]\Leftrightarrow L+2=\sqrt{960}[/tex]

[tex]\Leftrightarrow L+2=30.983866769659[/tex]

[tex]\Longrightarrow L+2 \approx 31[/tex]

[tex]\Longrightarrow L \approx 29[/tex]

[tex]\Longrightarrow w=L+4 \approx 29+4\approx33[/tex]

The Area Of A Gymnasium Is 956 Yd2. The Width Of The Gymnasium Is 4 Yd Longer Than Its Length. Find The

Related Questions

Please help meeeeee I suck at math

Answers

Answer:

Option E) 832.9km2

Step-by-step explanation:

The total area of the circle:

[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]

The proportion of the blank region:

[tex]\frac{(67)(3)}{360} =0.558333[/tex]

Then the proportion of the shaded region is:

[tex]1-0.558=0.441667[/tex]

Extract this proportion from the total area

[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]

Hope this helps

The value of the expression 7+3^2+(12-8)/2x4 is???

Answers

Answer:

24

Step-by-step explanation:

7+3^2+(12-8)/2x4

=7+9+4/2x4

=7+9+2x4

=7+9+8

=24

A circule has a diameter of 28 ft what is the circumference​

Answers

Answer:

Circumference of a 28 Foot Diameter Circle ; 87.965, feet ; 1,055.6, inches ; 87′ 11.6″, feet and inches ; 26.812, meters ; 2,681.2, centimeters .

Step-by-step explanation:

solve for x 0 = 3x - 21

Answers

x=7 I hope this helps you!!

Will give 5 stars on your answer and a thank you.

Answers

Answer:

the variable term is (t)

the answer is 13.50t

Answer:

it will be 13.50t

Step-by-step explanation:

it says 13.50 for EACH Ticket so it is the last one

Hope it helps <333

Please help!! Will mark brainlyest.

Answers

Answer:

It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
23

30

Answers

Answer:

37.80

Step-by-step explanation:

a^2 + b^2 = c^2

=> 23^2 + 30^2 = x^2

=> 1429 = x^2

=> 37.80

Hope this heps :)

simplify the following fraction:

18
__
40​

Answers

Answer:

9/20

Step-by-step explanation:

18/40 / 2 = 9/20 is the answer.

Which expression is equivalent to log18 – log(p 2)?

Answers

The expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given logarithmic expression is,

[tex]\log18 -\log(p+ 2)[/tex]

Let the expression which is equivalent to above expression is f(p). Thus,

[tex]f(p)=\log18 -\log(p+ 2)[/tex]

With the help of Quotient Rule of logarithmic, the above expression can be written as,

[tex]f(p)=\log18 -\log(p+ 2)\\f(p)=\log\left(\dfrac{18}{p+2}\right)[/tex]

Thus, the expression which is equivalent to the provided logarithmic equation log18 – log(p +2) is log[18/(p+2)].

Learn more about the equivalent expression here;

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i need help with question 28;

Answers

Answer:

Hope this helps!


John is creating a Thanksgiving display at the store where he works, using
needs to maintain a ratio of pumpkin to green beans of 5 to 2. If he wants a total of 140 cans how many cans of green
beans should he use?

Answers

100 to 40

5 x 20 = 100
2 x 20 = 40

100 can of beans

A line passes through point (-8,-2) and has a slope of -3/2. Write an equation in Ax+By=C form for this line. Use integers for A, B, and C.

Answers

Answer:

A= 3/2, B = 1, C = -14

Step-by-step explanation:

Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-3/2(x-(-8))[/tex]

[tex]y+2=-3/2(x+8)[/tex]

Distribute -3/2

[tex]y+2=-3/2x-3/2*8[/tex]

[tex]y+2=-3/2x-12[/tex]

Get y by itself by subtracting 2 to both side.

[tex]y=-3/2x-14[/tex]

[tex]3/2x+y=-14[/tex]

A = 3/2 , B = 1 , C= -14

3. Which of the following points is not on the graph of y = 2x² + 3x - 10? (4,30) (6,80) (-9, 125) (-3,-1) A​

Answers

Answer:

biside of A

Step-by-step explanation:

thats is the answers

The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).

What are the coordinates of Q', if Q(0, 2)?

(
,
)

Answers

Answer:

Q' (0, 1)

Step-by-step explanation:

(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y

(0, 2) → (0.5(0), 0.5(2)) <== multiply

(0, 2) → (0, 1)

Hope this helps!

Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with
his lunch. Vikram says he drank a total of 39/100
of a liter.
Use the drop-down menus to explain why Vikram is not correct.

Answers

The Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

What is the fraction number?

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.

Thus, the total amount he drank is,

[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]

Take the LCM 100, to solve it further,

[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]

Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.

Thus, the Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

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need help asap will give brainlist​

Answers

Answer:

4th option

Step-by-step explanation:

using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

then

[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]

Answer:

[tex]\sqrt[3]{5^{7} }[/tex]

Step-by-step explanation:

Given

[tex]5^{\frac{7}{3} }[/tex]

Rule

[tex]a^{\frac{x}{y} } = \sqrt[y]{a^{x} }[/tex]

Here,

a = 5x = 7y = 3

So, on subsituting :

[tex]\sqrt[3]{5^{7} }[/tex]

What is the height of the triangle?

Will mark brainlyest!!

Answers

Answer:

2 square units

Step-by-step explanation:

just count the squares that go up

Find the length of the unknown side

SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!

Answers

Answer:

1. 676 2. 10,000 3. 2,500  4. 1,681

Step-by-step explanation:

1. Using the Pythagorean Theorem (a sqaured + b sqaured = c sqaured) you do 10 sqaured plus 24 squared which equals 676.

2. By using the same Theorem, you do 60 sqaured plus 80 sqaured which equals 10,000.

3.By using the same Theorem, you do 30 sqaured plus 40 sqaured which equals 2,500

4.By using the same Theorem, you do 40 sqaured plus 9 sqaured which equals 1,681.

? Don't Send links, don't Write random things and get the points for free.

Answers

Answer:

[tex]V = 1847.26\ ft^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V=\pi r^2h[/tex]

[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]

[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]

[tex]V = \pi * 588\ ft^3[/tex]

[tex]V = 1847.26\ ft^3[/tex]

Answer:   [tex]V = 1847.26\ ft^3[/tex]

Answer:

Step-by-step explanation:

volume

Mr. Schultz is randomly distributing 15 rulers with centimeter markings and 10 rulers without centimeter markings to his class. What is the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings?

Answers

The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.

Probability of distributing the rulers

The probability of distributing the rulers is calculated as follows;

Total outcome = 15 rulers with centimeter markings + 10 rulers without centimeter markings

Total outcome = 25

The probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings;

P = (R with M) and (R without M)

P = (15/25) x (9/24)

P = (3/5) x (3/8)

P = 9/40

Thus, the probability that the first ruler he hands out will have centimeter markings and the second one does not have the markings is 9/40.

Learn more about probability here: https://brainly.com/question/24756209

Find the measure of angle CED in the figure below. Enter only the number.

Answers

Answer:

∠CED = 58°

Step-by-step explanation:

Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:

∠AED + ∠CED = 180°

Definition of Linear pair: A linear pair is two angles that form a 180 angle.

We are given that:

∠AED = 122°

Therefore, when we substitute the measure of ∠AED, we get;

122° + ∠CED = 180°

This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.

∠CED = 180° - 122°∠CED = 58°

Therefore, the measure of ∠CED is 58°.

The measure of angle CED is 58° adjacent to the angle AED.

What is a linear pair of angles?

A pair of linear angles are adjacent to each other whose sum is 180°.

Given, a measure of the angle AED is 122°

We know the measure of linear pair of angles is 180°.

∴ m∠AED + m∠CED = 180°.

122° + m∠CED = 180°.

m∠CED = 180° - 122°.

m∠CED = 58°.

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The diagram below shows a sign that Annie designed. It is made of two circles that share the same center. Annie wants to use string to create a border around the outermost edge of the sign. About how many inches of string does Annie need?

Answers

132 in

Step-by-step explanation:

Take the total radius = 18+3 = 21= R (say) Simply use the formula for the circumference i.e. 2*pi*R2*22/7*21= 132

Select the correct answer.
Which of these graphs represents a function?

Answers

Answer:

the answer is w. this is a linear function that is increasing over time.

Step-by-step explanation:

Thomas rolled a number cube with sides labeled 1 through 6. What is the
probability that Thomas rolled either a 2 or a 5?

A 1/6
B 1/3
C 1/2
D 4/6

Answers

Answer:

b

Step-by-step explanation:

He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3

Which of the following is the graph of f(x) = -0.5x + 3| -2?

Answers

If you mean

y=|-0.5x+3|-2

The graph has been attached

If that modulus sign is typing mistake then

The yielded function is

y=-0.5x+3-2y=-0.5x+1

Both graphs attached

Find the amount of time. I=$237. 90, P=$1525, r=2. 6%
Find the amount of time. __ Years

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]

As an estimation we are told £3 is €4.
Convert €85.10 to pounds.
Give your answer rounded to 2 DP.

Answers

Answer:

To solve the above problem we will use the unitary method as follows

As estimated  If £ 3 is equivalent to € 4

Then, £ 1 will be equivalent to = € \frac{4}{3}

£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311

Now you have to round the answer up to 2 decimal points to get the final answer

€ 86.1311 ≈ € 86.13

Thus, £ 64.60 is approximately equal to  € 86.13.

Step-by-step explanation:

hope this helps if not let me now

Powwows were, and still are a part of Native American life.
TRUE
FALSE

Answers

——Answer- True —————-

A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the volume of the pyramid

Answers

Answer:

144 cubic units

It costs $112 to turf a lawn of area 56m squared. How many dollars would it cost to turf a lawn of area 77m squared.​

Answers

[tex]Cost\:of\:56m^2lawn=$112\\Cost\:of\:1m^2 lawn=$(112/56)\\=$2Cost\:of\:99m^2=$(99\:x\:2)=$198\\=14166.9rs /14167 rs[/tex]

Found answer here: https://brainly.in/question/12501706

Answer:

$154

Step-by-step explanation:

You have to divide 112/56 to get the amount of money each m squared is which is 2

Then you subtract 77-56 to get the difference, which is 21 and then you multiply 21•2 which is 42

Then you add 42+112 which will be 154

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