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jenyasd209 [6]
4 years ago
12

Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:

Mathematics
1 answer:
Tanzania [10]4 years ago
5 0
Convert 10% into a decimal 
(0.1)^{2} - (5%)^{2}

Remove parentheses around 0.1
0.1^{2}-(5%)^{2}

Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}

Convert 5% to a decimal
0.01-(0.05)^{2}

Remove parentheses around 0.05
0.01-0.05^{2}

Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025

Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025

Subtract 0.0025 from 0.01 to get 0.0075

You Answer is: 0.0075

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8 points!
NemiM [27]

Answer: c.28 yards

Step-by-step explanation:

Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.

c2 = a2+b2

Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.

Replacing with the values given

85^2 = 77^2 + b^2

7225 = 5929 +b^2

7225-5929 = b^2

1296 = b^2

√1296 = b

36 = b ( orange Dr length)

Adding the lengths of orange and Peach ave .

36+77 = 113 yards

Subtracting the length of cherry st.(85)

113 -85 = 28 yards

His trip would have been 28 yards further  

5 0
3 years ago
Find roots of the equation and state the multiplicity
olya-2409 [2.1K]

({x + 2})^{3}  =  {x}^{3}  + 6 {x}^{2} + 12x + 8
so the answer is
x =  - 2

7 0
3 years ago
Eric plans to rent a room for his graduation party for $400. The catering charge is $9.50 per person
Blababa [14]

Answer:

1000-400= 600 so 600/9.50 = Approx 63, so 63 people

5 0
3 years ago
What is the measure of <br> &lt; B?
iogann1982 [59]

Answer:

c(<B=73)

Step-by-step explanation:

The two congruent sides have equal base angles

34 + 2x = 180

2x = 180 - 34

2x = 146

\frac{2x}{2}  =  \frac{146}{2}

x = 73

hope it was helpful

8 0
3 years ago
Mr. miller has $25 in his savings and wants to put $10 every week into the account. write an equation showing how much money he
iris [78.8K]
The equation you write would be linear, and would be written in slope intercept form y=mx+b. Since Mr. Miller already has $25, we plug that in for "b" in the equation. We plug 10 in for "m", because "x" represents the number of weeks he has been saving. The equation would be y=10x+25. To find how much money Mr. Miller will have in 7 weeks, plug in 7 for x. y=10(7)+25 -> y=70+25 -> y=95 -> $95
7 0
3 years ago
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