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Ann [662]
3 years ago
11

Simplify the sqaure root of 39.

Mathematics
1 answer:
Degger [83]3 years ago
7 0
\sqrt{39}=\sqrt{3\cdot13}\\\\\sqrt{39}=\sqrt{39}-can\ not\ simplify\\\\\sqrt{39}\approx6.245
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Mark is 15 years younger than Ashley. The sum of their ages is 55. Write a system of 2 equations to determine Mark (M) age and A
skelet666 [1.2K]
55=2a-15 or 55=a+(a-15)
6 0
3 years ago
Solve this sum plsss urgent ​
stiks02 [169]

1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.

2. absolute value is resembled using the formula : |x|

Here,

\hookrightarrow \sf |\dfrac{-3}{11} |

\hookrightarrow \sf \dfrac{3}{11}

final answer: 3/11

3.

\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}

\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}

\hookrightarrow \sf \dfrac{5}{6}

4.

Associative property can only be used with addition and multiplication

4 0
2 years ago
What is the circumference of circle P?<br> Express your answer in terms of .<br> AB = 14 in.
MA_775_DIABLO [31]

Answer:

C=14\pi\ in

Step-by-step explanation:

we know that the circumference is equal to

C=\pi D

we have

D=14\ in

substitute

C=\pi (14)

C=14\pi\ in

5 0
2 years ago
Read 2 more answers
Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

T = E + P

4P = E + P

E = 3P

Now we find the time.

E = P*0.04*t

3P = P*0.04*t

0.04t = 3

t = \frac{3}{0.04}

t = 75

It takes 75 years for the investment to quadruple in value

7 0
2 years ago
Determine whether a figure with the given vertices is a rectangle using the Distance Formula.
Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

A(4, -7), B(4, -2), C(0, -2), D(0, -7)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the length of the sides

<u><em>Find the distance AB</em></u>

substitute the values

d=\sqrt{(-2+7)^{2}+(4-4)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

AB=5\ units

<u><em>Find the distance BC</em></u>

substitute the values

d=\sqrt{(-2+2)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

BC=4\ units

<u><em>Find the distance CD</em></u>

substitute the values

d=\sqrt{(-7+2)^{2}+(0-0)^{2}}

d=\sqrt{(-5)^{2}+(0)^{2}}

CD=5\ units

<u><em>Find the distance AD</em></u>

substitute the values

d=\sqrt{(-7+7)^{2}+(0-4)^{2}}

d=\sqrt{(0)^{2}+(-4)^{2}}

AD=4\ units

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

<u><em>Find the distance AC</em></u>

substitute the values

d=\sqrt{(-2+7)^{2}+(0-4)^{2}}

d=\sqrt{(5)^{2}+(-4)^{2}}

AC=\sqrt{41}\ units

<u><em>Find the distance BD</em></u>

substitute the values

d=\sqrt{(-7+2)^{2}+(0-4)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

BD=\sqrt{41}\ units

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0
3 years ago
Read 2 more answers
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