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3 years ago

3) Round answer to the nearest hundredth. *

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, $a^{2}$ + $b^{2}$ = $c^{2}$ , where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

= √(82)^2 - √(18)^2

= √6724 - √324

= √6400

= 80 mm

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A triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?

spin [16.1K]

Answer:

$x = 48$

Step-by-step explanation:

$18.6 + 113.4 + x = 180$

$132 + x = 180$

$x = 180 - 132$

$x = 48$

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3 years ago

Help!!!! Number 4 right answer

USPshnik [31]

The answer would be 0 solutions.

Here, we see |x+6| = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?

That is called absolute value. Whatever is inside the two lines, must have a positive answer!

Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.

Let's put in -6.

-6 ==> BEEP BEEP ==> 6

Let's try 3.

3 ==> BEEP BEEP ==>3

Whatever we put in, if it is negative or positive, what comes out is always positive.

So, for how many values x is |x+6|=-2 true?

None, because the answer must be positive!
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3 years ago

aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt

vodomira [7]

Set up a system of equations:

$\text{Total shirts bought}$

$x + y = 9$

$\text{Total cost}$

$10x + 7y = 72$

x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.

For the first equation, subtract y from both sides to get x by itself:

$x = 9 - y$

We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:

$10(9-y) + 7y = 72$

Distribute the 10 to both terms in parentheses:

$10 \times 9 = 90$

$10 \times -y = -10y$

$90 - 10y +7y = 72$

Combine like terms:

$-10y + 7y = -3y$

$90 - 3y = 72$

Subtract 90 from both sides:

$-3y = -18$

Divide both sides by -3 to get y by itself:

$y = 6$

6 long sleeve shirts were bought.

Now you have a value for y. Input this value into the first equation:

$x + 6 = 9$

Subtract both sides by 6 to get x by itself:

$x = 3$

3 tee shirts were bought.

The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0

3 years ago

Read 2 more answers

Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve

Lunna [17]

Answer:

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Step-by-step explanation:

Let R represent the cost of Vanessa's rent.

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Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become

R = 2(87) - 12

R =

R = 174 - 12

The correct option is

2 * $87 - $12 = R

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3 years ago

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LenaWriter [7]

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3 years ago