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german
2 years ago
7

To practice for a competition, Kate swam 710 meters in the pool each day for 3 weeks. How many kilometers did Kate swim in those

3 weeks?
Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

14910 meters

Step-by-step explanation:

3 weeks= 21 days

each day= 710 m

21 days= 710*21

21 days= 14910 m

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The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

6 0
2 years ago
HELP ME PLEASE (no links)
slega [8]

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the straight line

Using the coordinate (0, 0) and (200, 300)

Slope m = 300-0/200-0

m = 300/200

m = 1.5

Since the line pass through the origin, the y intercept is 0

Substitute m = 1.5 and b =0 into y = mx+b

y = 1.5x + 0

y = 1.5x

This gives the required equation

6 0
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GarryVolchara [31]

Answer:

D. No solution because the lines are parallel

Step-by-step explanation:

Hope this helps you :)

7 0
3 years ago
A recipe calls for 1 /3 cup of sugar 2 cups of flour. How many cups of flour do you need to add 3 cups of sugar?
muminat

Answer:

With a video tutorial and in-depth explanations, learn how to properly measure baking ingredients and why measuring is so crucial in baking.

3 0
2 years ago
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If one value of arctan A is 37°, find another value of arctan A in the interval [0°, 360°).
const2013 [10]

Answer:

217°

Step-by-step explanation:

the tangent ratio is positive in the first and third quadrants.

37° is the angle in the first quadrant

then the angle in the third quadrant is

180° + 37° = 217°

7 0
1 year ago
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