MATHEMATICS
HIGH SCHOOL

Answer:

The balloon has a volume dependent on its radius :

Differentiating with respect to time gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

MIDDLE SCHOOL

What is 4.1 equal as a fraction.

41/10 it is as a fraction

HIGH SCHOOL

The area of a rectangle is 180 squared in2. The ratio of the length to the width is 5 : 4Find the length and the width. The length of the rectangle is nothing in.

180 in² - the area

width × lenght - the area

length : width = 5 : 4 therefore length = 5x and width = 4x

(x - some unit of length)

The equation:

(5x)(4x) = 180

20x² = 180 divide both sides by 20

x² = 9 → x = √9 → x = 3 in.

The length = 5x, therefore your answer is:

5x = 5(3 in) = 15in
MIDDLE SCHOOL

Which one is greater 8.3 or 8.03

Answer:

Number 8.3 is greater than 8 .03.

Step-by-step explanation:

Given : 8.3 or 8.03.

To find : Which one is greater.

Solution : We have given 8.3 or 8.03.

In 8.3

We can see Ones place is 8 and tenth place digit is 3.

In 8.03

Ones place is same 8 but the tenth place digit is 0 .

So, the number 8.3 is greater than 8 .03.

Therefore, Number 8.3 is greater than 8 .03.

8.3 because .3 is in the tenths place but .03 is in the hundredths place, which is smaller.

MIDDLE SCHOOL

PLEASE HELP! THANKS! The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x.

What is the measure of the smallest angle?

A.) 13 degrees

B.) 27 degrees

C.) 36 degrees

D.) 117 degrees

please show how to solve this I GIVE THANKS!!!

If you add everything up then

14x-2=180

14x=182

x= 13

So the angles would equal

2(13)+1= 27

3(13)-3= 36

9(13)= 117

The angles are 27 36 and 117

Which makes the smallest angle 27 which is B.

14x-2=180

14x=182

x= 13

So the angles would equal

2(13)+1= 27

3(13)-3= 36

9(13)= 117

The angles are 27 36 and 117

Which makes the smallest angle 27 which is B.

You first have to know that the measure of the three angles of a triangle= 180 add the terms and equal them to 180 2x+1 + 3x-3 =9x= 180 14x-2 = 180 14x= 182 x=13 This is not what you are looking for, you need to substitute 13 in the original measures 2 (13) +1= 27 degrees 3(13) -3= 36 degrees 9 (13) = 117 degrees therefore the smallest angle is 27 degrees if you add all three angle measure it will = 180 degrees Hope this helps you