MATHEMATICS HIGH SCHOOL

I have a math question.Two fielda ats state park are 1000 meters from each other.On a map,the two fields are 8 centimeters apart.What scale is the map using?Is it the metric scale??

Answers

Answer 1

Answer:

Answer:

The scale used is 1 : 12500. And the scale is in centimetres

Step-by-step explanation:

Given:

state park are 1000 meters from each other.

On a map,the two fields are 8 centimetres apart

To Find:

The scale used by the map = ?

Is it the metric scale?

Solution:

Actual distance between the parks is 1000 meters. But in map the distance is 8 centimetres

so the scale for map to actual distance is

8 cm : 1000 m

Now,

1 m = 100 m

1000 m = 100000 cm

Thus

8 cm : 100000 cm

On Reducing we get,

1 : 12500

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Hello I need help please I am stock

Simplify this expression.
2^5(13 +12)

Answers

Answer:

800

Step-by-step explanation:

You do 2 to the 5 power, which equals 32. Then add 13 and 12 to get 25. Then multiply 32 and 25 to get 800

Which percent is equal to the given fraction?3/5

A.
3.5%

B.
30%

C.
35%

D.
60%

Answers

D) 60%. an easy way to do this would be to multiply the denominator and the numerator by the same thing to make the denominator equal 100, and the numerator is the percent. For example, this question, how many time can 5 go into 100? 20 times. multiply 20 by 3, because what you do to the denominator you have to do to the numerator; so 20 x 3 = 60, 60%.

3/8, multiply by 12.5, since 8 goes into a hundred 12.5 times, to get 8 x 12.5 = 100 and 3 x 12.5 = 37.5, 37.5%

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7a-3=3-2a
I don't know how to solve this question

Answers

7a-3=3-2a
9a-3=3 (add 2a to both sides)
9a=6 (add 3 to both sides)
a=6/9 (divide by 9 to both sides)

get all variables (in this case, "a") on one side by adding "2a" to both. this cancels the "-2a". then, combine like terms. also move "-3" to the other side, by adding "3". finally, divide the "6" and "a" by "9" to get variable alone. therefore, "a = 2/3".
7a-3=3-2a
+2a +2a
9a-3=3
+3 +3
9a=6
a=2/3

A women set an Olympic record in the 100m freestyle with a time of 54.64 secs. What was her average speed in mis

Answers

Hello, I've uploaded the photo with the answer to your question here: https://t.ly/iTbeU

The base of a solid in the xy-plane is a circle with a radius of 3. cross sections of the solid perpendicular to the x-axis are squares. set up the integral to arrive at the volume of the solid and solve.

Answers

Answer:

$\large \boxed{144}$

Step-by-step explanation:

1. Set up the integral.

The equation for the circle is

x² + y² = 9

The bottom corners of the square are at

$(x, \sqrt{9 - x^(2)})\text{ and } (x, -\sqrt{9 - x^(2)})$

The length (a) of a side is

$a = 2\sqrt{9 - x^(2)}$

and the area (A) of the square cross-section is

A = a² = 4(9 - x²)

The volume (V) of the solid is

$V = \displaystyle \int_(-3)^(3) {4(9 - x^(2))} dx$

2. Solve the integral

$\displaystyle \int_(-3)^(3) {4(9 - x^(2))} dx = 4\begin{bmatrix}9x - (1)/(3)x^(3)\end{bmatrix}_(-3)^(3)= 4[(27 - 9) - (-27 +9)] = 4[18 - (-18)]\n= 4[18 + 18] = 4 *36 = \mathbf{144}\n\n\text{The volume of the solid is $\large \boxed{\mathbf{144}}$}$

When the coordinates (1,1), (2,3),(5,3) and (4,1) are joined which shape is formed?

Answers

Parallelogram because not all sides are equal.

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