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Butoxors [25]
3 years ago
12

The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132. Lara wrote the foll

owing step to find the length of the unknown leg: Length of the unknown leg = 1572 − 1322 = 24,649 − 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?
It is correct because the length of the unknown side is the difference of the lengths of the sides.
It is correct because the length of the unknown side is the difference of the squares of the sides.
It is incorrect because the length of the unknown side is the square root of 42,073.
It is incorrect because the length of the unknown side is the square root of 7,225.
Mathematics
2 answers:
ra1l [238]3 years ago
7 0
It is incorrect because the length of the unknown side is the square root of 7,225.

If you use the pythagorean theorem and plug in the values, 

a^2 + 132^2 = 157^2

a^2 + 17424 = 24649
       -17424     -17424
_________________
a^2 = 7225

If you square root it, the final answer would be 85.

Ad libitum [116K]3 years ago
4 0
<span>It is correct because the length of the unknown side is the difference of the squares of the sides.</span>
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Dave and ryan share some money in the ratio 7 : 4 . dave got $28, how much did ryan get?
Ronch [10]

Answer:

$16

Step-by-step explanation:

28/7=4

4*4=16

3 0
3 years ago
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Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar
VMariaS [17]

Answer:

How many drinks should be sold to get a maximal profit? 468

Sales of the first one = 345 cups

Sales of the second one = 123 cups

Step-by-step explanation:

maximize 1.2F + 0.7S

where:

F = first type of drink

S = second type of drink

constraints:

sugar ⇒ 3F + 10S ≤  3000

juice ⇒ 9F + 4S ≤  3600

coffee ⇒ 4F + 5S ≤  2000

using solver the maximum profit is $500.10

and the optimal solution is 345F + 123S

6 0
3 years ago
HELP EMERGENCY!!!!!! What is the equation of the line?<br> Y=3x-1<br> Y=-3x<br> Y=3x+1<br> Y=3x
ch4aika [34]
<h2>Answer:</h2>

By process of elimination, we can eliminate:

  • <em>A:</em> <em>y = 3x - 1</em>
  • <em>C: y = 3x + 1</em>
  • <em>B: y = -3x</em>

<em>A and C</em> don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. <em>B </em>is not it either because the line <em>does not</em> go <em>down</em> from <em>left to right</em>, therefore, the slope is <em>not</em> negative.

The answer is <em>D: y = 3x</em> because since the line goes <em>up</em> from <em>left to right</em>, the slope is positive, and the y-intercept is the origin, so the equation will have no b.

7 0
3 years ago
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lianna [129]

Answer:

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Step-by-step explanation:

To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:

3 + 6 + 8 = 17 cm

∴, the triangle's perimeter is 17 cm.

3 0
3 years ago
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Find the measurements of “x”
sammy [17]

Answer:

x = 27 \frac{1}{3}

Step-by-step explanation:

This angle is a right angle, meaning 90 degrees, as whenever it's a right angle, there's a small square on the angle which u can see at the bottom left, so:

x + 8 + 2x = 90

3x + 8 = 90

subtract 8 from both sides

3x = 82

divide by 3

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3 years ago
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