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?

Answer:

144 cubic units

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.

[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]

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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

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

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)].

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If you mean

The graph has been attached

If that modulus sign is typing mistake then

The yielded function is

Both graphs attached

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.

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.

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Answer:

2 square units

Step-by-step explanation:

just count the squares that go up

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

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

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

Answer:

Hope this helps!

132 in

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

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:

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

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

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:

Step-by-step explanation:

Given

Rule

Here,

So, on subsituting :

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.

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.

Learn more about the fraction number here:

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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

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!

[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]

Answer:

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

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

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

=7+9+4/2x4

=7+9+2x4

=7+9+8

=24

Answer:

∠CED = 58°

Step-by-step explanation:

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

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

We are given that:

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

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.

Therefore, the measure of ∠CED is 58°.

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

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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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:

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 :)

Answer:

biside of A

Step-by-step explanation:

thats is the answers