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ki77a [65]
3 years ago
15

The total area of Ohio is 4.5 * 10^4 square miles.The total area of Ohio is about how many times the total area of Rhode Island?

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

The total area of Ohio is about 30 times the total area of Rhode Island

Step-by-step explanation:

Let

x -----> the total area of Ohio in square miles

y -----> the total area of Rhode Island in square miles

we know that

x=4.5*10^{4}\ mi^{2}  

y=1.5*10^{3}\ mi^{2} (<em>searched in Google</em>)

To find out approximately how many times the total area of Ohio is compared to the area of Rhode Island, divide the area of Ohio by the area of Rhode Island

\frac{x}{y}

substitute the values

\frac{4.5*10^{4}}{1.5*10^{3}}=(\frac{4.5}{1.5})( 10^{4-3}) =3*10^{1}=30

therefore

The total area of Ohio is about 30 times the total area of Rhode Island

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Water flows through a pipe at a rate of 12 cups every 5 hours. Express this rate of flow in gallons per week.
horrorfan [7]

Answer:

Well 403.2 gallons per week

Step-by-step explanation:

So 24*7

168

168/5

33 3/5

33 3/5* 12

403.2

7 0
3 years ago
Can anyone please help me I really need your help.
riadik2000 [5.3K]
Wouldn't it be divided, I'm pretty sure it would be, if not I'm sorry
6 0
3 years ago
Help Please!!!!!!
Vanyuwa [196]

Answer:

centre = (2, - 1), radius = 6

Step-by-step explanation:

Rearrange the equation by placing the x and y terms together and adding 31 to both sides

Given

x² + y² - 4x + 2y - 31 = 0, then

x² - 4x + y² + 2y = 31

Use the method of completing the square

add ( half the coefficient of the x/y term )² to both sides

x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1

(x - 2)² + (y + 1)² = 36

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

compare to (x - 2)² + (y + 1)² = 36, then

centre = (2, - 1) and r = \sqrt{36} = 6

3 0
3 years ago
Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

6 0
3 years ago
I don’t know if this is right, I’m stuck. Help!
STALIN [3.7K]

Answer:

C

Step-by-step explanation:

According to SohCahToa, cosine is adjacent over the hypotenuse.

The adjacent when looking from angle b, is 21.

The hypotenuse of this triangle is 29.

So Cos B=21/29

5 0
3 years ago
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