All categories

3 years ago

For each problem, find the missing value using the Pythagorean Theorem

Mathematics

1 answer:

aniked [119]3 years ago

3 0

Answer: $\sqrt{66}$

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + $\sqrt{50} ^2$ = C^2

16 + 50 = c^2

66 = c^2

c = $\sqrt{66}$

You might be interested in

3(m^x)^4+5 What is the coefficient in the expression? A) x B) 3 C) 4 D) 5

faust18 [17]

Answer:

The answer is B) 3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The square of the sum of a number and 4 is 36

almond37 [142]

$n-the\ number\\\\\text{The equation:}\\\\(n+4)^2=36\iff n+4=\pm\sqrt{36}\\\\n+4=-6\ or\ n+4=6\qquad\text{subtract 4 from both sides}\\\\\boxed{n=-10\ or\ n=2}$

7 0

3 years ago

D= number of dollars

padilas [110]

Unit rate 4:

The table

d n

4 1

8 2

16 4

Unit rate 1/4:

Table

d n

1 4

4 16

16 64

and

The equation n=4d

Unit rate 16:

Equation:

d = 16n

Step-by-step explanation:

The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

$Unit\ rate = \frac{dollars}{ounces}$

So,

The first option is the equation:

$d = 16n\\\frac{d}{n} = 16$

The unit rate is 16 dollars per ounce

The second option is the table:

d n

1 4

4 16

16 64

We can take any pair of values of d and n from the table to calculate the unit rate

So taking

d = 1

n=4

$Unit\ rate = \frac{d}{n}\\= \frac{1}{4}$

The unit rate for table is: 1/4 dollars per ounces

Third option is the equation:

n = 4d

$n = 4d$

dividing both sides by n

$\frac{n}{n} = \frac{4d}{n}\\1 = \frac{4d}{n}$

dividing both sides by 4

$\frac{1}{4} = \frac{4d}{4n}\\\frac{d}{n} = \frac{1}{4}$

the unit rate is 1/4 dollars per ounce

Fourth option is the table:

d n

4 1

8 2

16 4

We will take any pair of d and n to find the unit rate

So,

Taking

d = 4

n =1

$Unit\ rate = \frac{d}{n} \\= \frac{4}{1}\\=4$

The unit rate is 4 dollars per unit ounce.

Keywords: Unit rate, units

Learn more about unit rate at:

#LearnwithBrainly

7 0

3 years ago

Select all of the following expressions that are equivalent to 0.25. (0.5)2 (-0.2) + (-0.05) |-3 + 2.75| -(-0.25) 2x - 1.75x

stiv31 [10]

The solutions for the following expressions are:
1. 0.5*2 = 1
2. -0.2+-0.05= -0.25
3. absolute value of (-3+2.75) = 0.25
4. -(-0.25) = 0.25
5. 2x-1.75x = 0.25x

3 0

4 years ago

Plot 2 points on y-4=-3/4(x+1)

MA_775_DIABLO [31]

x from -6 to 5, y from -10 to 10, y = -2x/3 -2).

4 0

4 years ago