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ryzh [129]
2 years ago
12

Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that

Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

Here Is Your Answer $58(20)

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A brace for a shelf has the shape of a right triangle. Its hypotenuse is 10 inches long and the two legs are equal in length. Ho
vagabundo [1.1K]
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2 Hope this helps!!
3 0
3 years ago
Is 5,000 cm greater than 5 m
ANTONII [103]
That is false 5,000cm is bigger you got this way to go

3 0
3 years ago
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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod
ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

\frac{dp}{dt}=\frac{0.7}{100}P

\int \frac{dP}{P}=0.007\int dt

lnP=0.007t+C

Using the formula

\int \frac{dx}{x}=ln x+C

P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}

e^C=A

Initially when t=0,P=323 million

Substitute the values

323 million=A

P=323e^{0.007t}

Now, substitute P=400 million

400=323e^{0.007t}

ln\frac{400}{323}=0.007t

ln(1.2384)=0.007t

t=\frac{ln(1.2384}{0.007}

t=30.5\approx 31 Years

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0
3 years ago
Find the remainder of (x4 – 2) ÷ (x + 1).
prisoha [69]
Please write   (x4 – 2) ÷ (x + 1)  as  <span>(x^4 – 2) ÷ (x + 1).

We can find the remainder using synth. div. as follows:

      _________________
-1  /  1    0    0    0    -2
              -1    1   -1    1
     ------------------------------
         1   -1    1   -1    -1

The remainder is -1.</span>
5 0
3 years ago
Find all numbers whose absolute value is -5.
Kryger [21]

There are none. Absolute values are always positive

3 0
3 years ago
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