Just do these two problems for me and I’ll be so happy

A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle and; the other will be bent to

Brums [2.3K]

<h3>The perimeter of circle = 17.6 cm</h3><h3>Perimeter of square = 22.4 cm</h3>

Step-by-step explanation:

The total length of the wire = 40 cm

Let us assume the circumference of the circle = k cm

So, the circumference of the square = ( 40 - k) cm

Now,as circumference of circle = 2πR

⇒2πR = k cm or, R = $(\frac{k}{2\pi})$

Area of the circle = πR²

or, A = $\pi (\frac{k}{2\pi} )^2$

$= \pi \times (\frac{k^2}{(2\pi)^2} ) = \frac{k^2}{4 \pi} \\\implies A = \frac{k^2}{4 \pi}$ ....... (1)

Similarly , perimeter of square = 4 x Side

⇒ 4 x Side = ( 40 - k) cm ⇒ S = $(\frac{40 - k}{4} )$

Area of the square = (Side)² = $(\frac{40 - k}{4} ) ^2$

Solving, we get: $A = \frac{1600 + k^2 - 80 k}{16}$ ....... (1)

So, combining (1) and (2), total area A is

$A = (\frac{k^2}{4 \pi} ) + \frac{k^2 + 1600 - 80 k }{16}$

or, we get: A = 0.07962 k² + 0.0625 k² + 100 - 5 k

A = 0.1422 k² - 5 k + 100

For axis of symmetry : $k = (\frac{-b}{2a} ) = (-\frac{-5}{2(0.1420}) = 17.6$

⇒ k = 17.6 inches

So, the perimeter of circle = 17.6 cm

Perimeter of square = (40 - 17.6 ) = 22.4 cm

3 0

3 years ago

How far apart are -27 and -19?

zaharov [31]

Answer:

8

Step-by-step explanation:

I changed these to the positive values:

27 and 19 then did subtraction

27 - 19 = 8

4 0

3 years ago

How do you find the largest prime factor of a number

sleet_krkn [62]

Hey there,

When finding the largest prime factor of a number, basically all you doing is find the divisible of the number. For example:

What are the prime factors of 8?

8
/ \
4 2
/ \ \
2 2 2

Hope that helps.

~Jurgen

3 0

4 years ago

A spinner has 4 equally sized sectors that are numbered 1, 2, 2 and 6. The spinner is spun twice and the product of the outcomes

Elena-2011 [213]

First thing, there is a typo in all your answers: there is no way you can get 14 as a product of the numbers of the spinner's sectors, but rather 36.

After this premise, the correct answer is A) If the product of the spins is 2, pale lilac will be used. If the product is 4, mellow sage will be used. If the product is 12, seafoam blue will be used. If the product is 1, 6 or 36, totally taupe will be used.

Explanation:

You have a spinner with 4 sectors that is spinned twice. Therefore, the possible outcomes are 4 × 4 = 16 pairs of numbers:
(1, 1) (1, 2) (1, 2) (1, 6)
(2, 1) (2, 2) (2, 2) (2, 6)
(2, 1) (2, 2) (2, 2) (2, <span>6)
</span>(6, 1) (6, 2) (6, 2) (6, <span>6)

The possible products are then,
1    2    2    6
2    4    4 12
2    4    4 12
6 12 12 36

Hence, we have:
1 possible product of 1;
4 </span><span>possible products of 2;
4</span><span> possible products of 4;
</span><span>2 possible product of 6;
</span><span>4 possible products of 12;
</span><span>1 possible product of 36.

Since the paint colors are 4, to make a fair decision, each color should be matched with 16 </span>÷ 4 = 4 total possible outcomes: the products 2, 4 and 12 each have 4 possible outcomes, the products 1, 6 and 36 together have 4 possible outcomes.

Therefore, a fair decision is taken if we match:
product 2 - color 1
product 4 - color 2
product 12 - color 3
products 1, 6 and 36 - color 4.

Hence, the only correct option is A)

3 0

3 years ago

Read 2 more answers

Triangle U S T is shown. Angle U S T is 100 degrees. The length of U S is 9, the length of S T is 10, and the length of U T is s

Vladimir [108]

By solving through law of cosines the length s can be written as $s^{2} =9^{2} +10^{2} -2*9*10cos(100)$ .

Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.

According to law of cosines a length can be written as $c^{2} =a^{2} +b^{2} -2abcos g$

where c is the side opposite to the given angle and a and b are other sides , g is the angle given.

$s^{2} =9^{2} +10^{2} -2*9*10cos(100)$

where s is the length of the side opposite to the angle given, the length of other sides are 9 and 10 where the angle is 100.

Hence the fourth option is correct which is s^{2} =9^{2} +10^{2} -2*9*10cos(100).

Learn more about trigonometric functions here brainly.com/question/24349828

#SPJ10

6 0

2 years ago