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pav-90 [236]
3 years ago
9

The total area of two square windows is 1,025 in.^2. each side of the larger window is 5 in. longer than the sides of the smalle

r window. how long are the sides of the smaller window
Mathematics
2 answers:
vampirchik [111]3 years ago
8 0
The area of a square is expressed as:

Area = s^2

We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.

Total area = Area larger + area smaller
1025 = s^2 + a^2

Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:

<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2

simplifying we obtain,

a = 20 inches
Yakvenalex [24]3 years ago
4 0

Answer:

it's b

Step-by-step explanation:

i got it right on edge :)

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A meteorologist reports that the chance of snow is less
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Answer:

1,3,5,6

Step-by-step explanation:

7 0
3 years ago
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Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
How do you know a radical expression is in simplest form?
Diano4ka-milaya [45]
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical

Explanation:

Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified

For example simplify the following radical in its simplest form:


\sqrt[5]{3645 a^8b^7c^3}

1) Factor 3645 in its prime factors: 3645 = 3^6 * 5

2) Since the powr of 3 is 6, and  6 can be divided by the index of the root, 5, you can simplify in this way:

- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical

3) since the factor 5 has power 1 it can not leave the radical

4) the power of a is 8, then:

8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.

5) the power of b is 7, then:

7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical

6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.

7) the expression simplified to its simplest form is

3ab \sqrt[5]{3.5.a^3b^2c^3}

And you know it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
7 0
3 years ago
Read 2 more answers
How do I figure this out
ddd [48]
I agree. There can't ever be 2 equal signs in A math problem
5 0
4 years ago
How do you write an expression for Z cubed?
melomori [17]

Answer:

z^3

Step-by-step explanation:

Z cubed is Z X Z X Z = Z^3

8 0
3 years ago
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