There were 450 students enrolled in a middle school at the beginning ​of the school year. ​The number of students enrolled in the school at ​the end of the year was 10 percent greater than the number of ​students enrolled in the school at the beginning of the year. How many ​students were enrolled in the school at the end of the year?

Answer:

1

Step-by-step explanation:

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.

Answer:

17 bundles

Step-by-step explanation:

540 divided by 32 is around 16.875, so buy 17 bundles

Answer:

You should by 17 bundles of shingles.

Step-by-step explanation:

540 divided by 32 is 16.875.

So, you will need almost 17 bundles.

If you were to only buy 16, you would not have enough.

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Answer:

The least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].

Step-by-step explanation:

Let be the following rational expressions:

[tex]\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}[/tex]

Then, we factor each denominator:

[tex]\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}[/tex]

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

[tex]\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)[/tex]

[tex]\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)[/tex]

Hence, we conclude that least common denominator of the two rational expressions is [tex](x+2)^{2}\cdot (x+3)[/tex].

Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

Answer:

I got 25.6cm² but I could be wrong

The expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

In order to calculate the expression, we need to use the PEMDAS rule which states:

From the question, we are to get the expression equal to 13.

From the given expression,(18 ÷ 2) + 6 ÷ 6 + 3 is equivalent to 13;

(18 ÷ 2) + 6 ÷ 6 + 3

9 + 6  ÷ 6 + 3

9 + 1 + 3

13

Hence the expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

Learn more on expansion here: https://brainly.com/question/26430239

Here is my answer. I hope this is helpful.

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Answer: 80

Step-by-step explanation:

If you look at the top left and bottom right corner, you see that they are identical, so basically you would do the same to 80.

Well lets see...

Solution 1. The sum of angles of a quadrilateral is 360˚ 100˚+100˚+80˚=280 degrees 360˚-280˚=80˚.

Solution 2. Opposite angles on a parallelogram are equal so x=80˚.

HOPE THIS HELPED!!!!!!!!!!

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

Answer:

That would be 4/5. A reciprocal is just a fraction inverted, pretty much.

Answer:

3 adjacent

4. complementary

Answer:

Y=1x+7

Step-by-step explanation:

y=mx+b

m: slope

b: y axis

Answer:

Step-by-step explanation:

120 = 2x + 70

120  - 70 = 2x + 70 - 70

50 = 2x

50/2 = 2x/2

x = 25

Answer:

see below

Step-by-step explanation:

cos  = adj/ hypotenuse

Cos A = 30 /34

Simplifying

Cos A = 15/17

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Here is my answer. I hope this is helpful.

Answer:

2:4, 3:6, 4:8, 6:12, etc

Step-by-step explanation:

hope it helps

Answer:

3/5 = 0.6

Step-by-step explanation:

Answer: A. 3/5 = 0.6

Step-by-step explanation: You have to convert the fraction into a decimal and then compare. - Gradpoint

3/5 = 3 divided by 5 = 0.6

Answer:

£18.06

Step-by-step explanation:

The computation of her pay per hour is shown below:

= Total earnings last year ÷ Total number of hours she worked

= £27,000 ÷ (32.5 hours × 46 weeks)

= £27,000 ÷ 1,495 hours

= £18.06

Answer:

50 bags of sugar

Step-by-step explanation:

There are 1000 grams in 1 kilogram

We know each shelf can hold up to 30 kilograms and we know each bag of sugar weighs 600 grams.

We multiply 30 kilograms (kg) by 1000 to make it equal to grams so:

30 kg x 1000 = 30,000 grams

We should divide 30,000 by 600 to know how many bags each shelf can hold

30,000/600 = 50 bags of sugar

Answer:

It’s B

Step-by-step explanation:

Because the area is 64 and the base is 4, then you would have to divide 64 by 4 to get 16 which is the height!

Answer:

it would be C. h=32 cm

Step-by-step explanation:

the formula for area of a triangle in A=1/2*b*h

so plug what you know into the formula, you know the area, A, and the base, b, so:

64=1/2*(4)*h

now solve what you can:

64=2h

then divide each side by 2 to get h, or the height, alone:

32=h

so, the height is 32 cm!

im sorry if this didnt make sense, but i hope this helped!! :D