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2 years ago

Find the length of the hypotenuse of a right triangle with legs of 15 inches and 7 inches.

Mathematics

2 answers:

sineoko [7]2 years ago

8 0

Answer:

16.55

Step-by-step explanation:

$\sqrt{7} ^ {2} +15^{2}$

Vlad1618 [11]2 years ago

5 0

Answer:

$\boxed {\boxed {\sf \sqrt {274} \ or \ 16.55 \ inches}}$

Step-by-step explanation:

The sides of a right triangle can be found using Pythagorean Theorem.

$a^2+b^2=c^2$

where a and b are legs and c is the hypotenuse.

In this triangle, the legs are 15 and 7, so we can substitute those values in for a and b.

$(15)^2+(7)^2=c^2$

Solve the exponents.

15²=15*15=225
7²=7*7=49

$225+49=c^2$

Add.

$274=c^2$

Since we are solving c, we have to isolate the variable. It is being squared and the inverse of a square is a square root. Take the square root of both sides.

$\sqrt {274}=\sqrt {c^2}$

$\sqrt {274}=c \\ $$16.5529453572= c$

Let's round to the nearest hundredth. The 2 in the thousandth place tells us to leave the 5.

$16.55 \approx c$

The hypotenuse is approximately √274 or 16.55 inches

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X=y-4 and 2x+4y=10 help me

Murljashka [212]

Answer:

Step-by-step explanation:

1. x = y-4

0 = y - 4 -x

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2. 2x+4y = 10

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3 years ago

What is the reason for statement 2 of the two-column proof? Given: Prove: m Helpppppp!!!!!!

Strike441 [17]

Answer:

We have been given that PQ bisects . In the second statement of the given two-column proof, the statement is .

This implies that the two angles formed by bisection of angle by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.

Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect

Step-by-step explanation:

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3 years ago

What line is parallel to 2x+5y=6 that goes through (5,3)

Anna11 [10]

Answer:

4y = x - 17

Step-by-step explanation:

First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = $\frac{-2x}{5}$ + $\frac{6}{5}$ which make the gradient, m, the coefficient of x = $\frac{-2}{5}$ . Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)

Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = $\frac{1}{4}$ (x - 5); y - 3 = $\frac{x}{4}$ - $\frac{5}{4}$ ; y = $\frac{x}{4}$ - $\frac{5}{4}$ +3

y = $\frac{x}{4}$ - $\frac{17}{4}$ ; y = $\frac{x-17}{4}$ ; 4y = x - 17

7 0

2 years ago

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Setler [38]

Angle 2 = 46°

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2 years ago

Which fraction is equivalent to 7/12

Drupady [299]

The value of any number multiplied by 1 stays exactly the same, right? Well, as it turns out, 1 can be written as the fraction 7/7, or the fraction 8/8, or 9/9, 10/10, 11/11... I could go on and on to infinity, but there's a pattern there. 1 simply means "1 whole," or "all of it." "All of it" looks different in different denominators, but the core idea is the same: if we split something into n pieces, "all of it" means we have all n of those pieces. The numerator and denominator will always been the same, no matter how we want to represent 1.

What does this have to do with our problem? Well, we don't want to change the value of our fraction, we just want to change its label. So what we're going to do is multiply it by 1, but we're going to make sure to pick the right label for that 1.

7/12 x 1 = 7/12. This will be true no matter what. Let's see which of these options actually fit the bill:

$\dfrac{14}{28}$

Can we get this fraction by multiplying 7/12 from some form of 1? Well, 14 = 7 x 2, so let's see what we get if we pick the form 1 = 2/2:

$\dfrac{7}{12} \times\dfrac{2}{2}=\dfrac{14}{24}\neq\dfrac{14}{28}$

Nope, not quite. 14/28 is not equivalent to 7/12.

What about 21/36? 21 = 7 x 3, so let's give the form 1 = 3/3 a shot:

$\dfrac{7}{12}\times\dfrac{3}{3}=\dfrac{21}{36}$

There we go! All we did there was relabel 7/12 by multiplying by form of 1. Since we never changed its value, we can stop our search here and conclude that 21/36 is equivalent to 7/12.

7 0

3 years ago