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antoniya [11.8K]
2 years ago
10

Need answer fast as possible

Mathematics
2 answers:
k0ka [10]2 years ago
7 0

Answer:15

Step-by-step explanation:

The box on the left is square in a square all side are equal

Luden [163]2 years ago
6 0

Answer:

15

Step-by-step explanation:

That's a square, so all lengths are the same

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What is the sum of the two vectors (-1,-4) and (3,5)
o-na [289]

Answer:

Step-by-step explanation:

a(-1, -4)\\b(3, 5)\\a + b(2, 1)

5 0
3 years ago
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The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
Alex73 [517]

Answer:

60 inches²

Step-by-step explanation:

Unit test

5 0
3 years ago
a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m
UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

6 0
2 years ago
How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your
prisoha [69]
It would take 10.7 years.

The formula for continuously compounded interest is:
A=Pe^{rt}
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
A=Pe^{0.065t}

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
2P=Pe^{0.065t}

Divide both sides by P:
\frac{2P}{P}=\frac{Pe^{0.065t}}{P}
\\
\\2=e^{0.065t}

Take the natural log, ln, of each side to "undo" e:
\ln{2}=\ln{e^{0.065t}}
\\
\\0.6931471806=0.065t

Divide both sides by 0.065:
\frac{0.6931471806}{0.065}=\frac{0.065t}{0.065}
\\
\\10.7\approx t
8 0
3 years ago
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membership in a digital library has a $5 startup fee and then cost $9.95 per month memberships in a video streaming service cost
UNO [17]
With this information you can write the expression
9.95m + 5 = 7.99m
This demonstrates the cost for each one after m months.

3 0
3 years ago
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