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TEA [102]
2 years ago
12

Which of the following is equivalent to (mn)³?a. 3mnb. m³nc. mn³d. m³n³

Mathematics
1 answer:
Alla [95]2 years ago
4 0

Answer:

Step-by-step explanation:

d is correct

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Solve for x.<br> Please explain step by step I would really appreciate it !!
NeTakaya

Answer:

x=8

Step-by-step explanation:

<u><em>The correct question is</em></u>

Quadrilateral DEFG is congruent with Quadrilateral SPQR

Solve for x

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

we have that

GF and RQ are corresponding sides

so

RQ=GF

substitute the given values

2x-4=12

solve for x

adds 4 both sides

2x=12+4

2x=16

divide by 2 both sides

x=8

6 0
3 years ago
The hypotenuse of a triangle is 10 inches long. One of the legs is 6.5 inches long. what is the measurement of the missing leg?
Katarina [22]

Answer:

7.6

Step-by-step explanation:

a^2 + b^2 = c^2

6.5^2 + x^2 = 10^2

42.25 + x^2 = 100

isolate x by subtracting 42.25 on both sides

x^2 = 57.75

square root of 57.75 or 7.6

8 0
2 years ago
Can you find the first and third one please!
fenix001 [56]

Answer:

The first ones area is 35 cm squared

The third ones area is 32 cm squared

Step-by-step explanation:

A=1/2H (B1+B2)

35=2.5(8+6)

32=2(7+9)

7 0
3 years ago
What is the square root of 658
Nastasia [14]
It's not a proper square root, but you're looking for a number between 25 and 26 (<span>25.6515106768)</span>
6 0
3 years ago
I need help with this word problem it’s urgent please help.
harkovskaia [24]

Starting with some solution of volume <em>v</em> and an alcohol concentration of 100<em>c </em>% , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + <em>v</em>.

Each mL of the starting solution contains <em>c</em> mL of alcohol. For example, if the concentration of the starting solution is 80% (so <em>c</em> = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

<em>cv</em> + 0.45 (180 mL) = 0.7 (180 mL + <em>v</em>)

and you want to solve for <em>v</em> :

<em>cv</em> + 81 mL = 126 mL + 0.7<em>v</em>

<em>cv</em> - 0.7<em>v</em> = 126 mL - 81 mL

(<em>c</em> - 0.7) <em>v</em> = 45 mL

<em>v</em> = (45 mL) / (<em>c</em> - 0.7)

Judging by context clues, <em>c</em> lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, <em>c</em> = 0.8, so that your starting solution is at 80% concentration, then you would need

<em>v</em> = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that <em>c</em> = 1, you would need

<em>v</em> = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

3 0
3 years ago
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