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3 years ago

12

The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the tria

ngle?
2 units
6 units
Square root of 12 units
Square root of 20 units

1 answer:

Ksenya-84 [330]3 years ago

6 0

It would be the square root of 12

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3 years ago

The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers

Elis [28]

Answer:

The numbers are 23 and 7

Step-by-step explanation:

1. Set up the equations

Let x = the greater number

and y = the smaller number. Then

(1) x - y = 16

4y = 4 times the smaller number and

4y - 5 = 5 less than 4 times the smaller number. Then

(2) x = 4y - 5

You have a system of two equations:

$\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}$

2. Solve the equations

$\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}$

The larger number is 23; the smaller number is 7.

3. Check

$\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}$

OK.

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3 years ago

Write the measure -128 30’ 45’’ as a decimal to the nearest thousandth

Zielflug [23.3K]

Answer:

-127.488°

Step-by-step explanation:

45" is 0.75 of 1', so -128° 30' 45" = -128° 30.75'

Next: 30.75' is 30.75/60 of 1°, and or -128° plus 0.5125 of 1°.

The final answer is found by adding 0.5125° to -128°:

-128.0000°

+ 0.5125°

--------------------

-127.4875

To the nearest thousandths of a degree, that would be -127.488°

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3 years ago