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3 years ago

Jarron has a piece of chalk tied to the end of a

2 answers:

8 0

Answer: A 24 cm piece of string is cut into two pieces , one piece is used to form a circle and the other piece is used to form a square.

How should this string be cut so that the sum of the areas is a minimum .

Let x = the circumference of the circle

then

(24-x) = the perimeter of the square

Find the area of the circle

find r

2*pi*r = x

r =

Find the area of the circle

A =

A = sq/cm, the area of the circle

Find the area of the square

A = sq/cm the area of the square

The total area

At = +

Graph this equation, find the min

Min occurs when x=10.6 cm

cut string 10.6 cm from one end

Step-by-step explanation: Hope I help out alot (-: :-)

yan [13]3 years ago

7 0

Answer:

F- 153.86 in²

Step-by-step explanation:

Area = 3.14 × 7²

153.86 in²

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Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

Juan bought a piece of lumberthat is 20 feet long.

Semmy [17]

Answer:mutiply not sure

Step-by-step explanation:

7 0

2 years ago

Pweaseee help!!!!!!!!!!!!!

juin [17]

Answer:

Andre.

Step-by-step explanation:

Andre's group was asked to write an expression equivalent to 5p²q + 7pq² - 10.

Andre gives the expression 7p²q + 7pq² - 1 - 2p²q - 9, which gives the expression 5p²q + 7pq² - 10.

Jill gives the expression 5p²q + 2 pq² - 6 + 5pq² - 3, which does not give the expression 5p²q + 7pq² - 10.

Now, Anuj gives the expression 4p²q + 7pq²- 7 + 2p²q - 3, which also does not give the expression 5p²q + 7pq² - 10.

Again, Marsha gives the expression 5p²q + 5 pq²- 10 + 3pq², which also does not gives the expression 5p²q + 7pq² - 10.

Hence, only Andre gives the correct expression. (Answer)

5 0

3 years ago

If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?

svetoff [14.1K]

Answer:

$Total\ Cost = \$973.75$

Step-by-step explanation:

Given (Missing part of question)

T-shirts = $7.50

Shorts = $9.00

Windbreakers = $12.25

Required

Determine the total cost

Total Cost is calculated as follows;

$Total\ Cost = Costs\ of\ T-Shirts + Costs\ of\ Shorts + Costs\ of\ Windbreakers$

$Total\ Cost = 35 * \$7.5 + 45 * \$9.00 + 25 * \$12.25$

$Total\ Cost = \$262.5 + \$405.00 + \$306.25$

$Total\ Cost = \$973.75$

4 0

3 years ago

What is the quotient of 2 2/7 divided by 4/7

denis23 [38]

The answer is 4.

Solution:

2 2/7 ÷ 4/7

Transform to improper fraction,

So,

16/7 ÷ 4/7

16/7 × 7/4

7 0

2 years ago