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Allisa [31]
3 years ago
14

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 50. HELPPPPPP

Mathematics
2 answers:
const2013 [10]3 years ago
8 0

Answer:

14

Step-by-step explanation:

The formula for finding the hypotenuse of a right triangle is a^2 + b^2 = c^2.  A and B stand for the legs of the triangle while C is the hypotenuse of a right triangle. With this information, you can plug in the numbers into the formula to discover the length of C. You can plug in 48 for either A or B since it is the only leg you know the value of, and then you plug in 50 for C since you know it is the hypotenuse. So, you get 48^2 + b^2 = 50^2. Now to find the value of the unknown leg, b, you just simplify the equation. 48^2= 2304 and 50^2= 2500. So you get 2304 + b^2 = 2500. Then, to isolate b^2 you subtract 2304 from both sides of the equation. 2500-2304 equals 196, so you get b^2 = 196. Lastly, you square root both sides of this equation to get b = 14.

makkiz [27]3 years ago
3 0

Answer:

14 is the length of the missing side.

Step-by-step explanation:

Use pythagorean theorem.

48^{2}+b^{2}=50^{2}

2304+b^{2}=2500

\sqrt{b^{2}}=\sqrt{196}

b=14

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Answer:

83

Step-by-step explanation:

82+87+83+77+70+80+88= 567

Then you divide that answer by the number of numbers you added by which is 7.

567/7= 81 so 83 was the missing number

6 0
3 years ago
Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

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Damm [24]

Answer:

D

Step-by-step explanation:

3 (4x + 18y) means that 3 will multiply 4x and 18y factor which results to 12x + 54y

hence dissimilar to the original expression

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