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3 years ago

12

Hey guys I need help with this math exercise... can someone plz help me??!!! 20 points to win!!!

1 answer:

riadik2000 [5.3K]3 years ago

7 0

$73.36
i worked it out .

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Reil [10]

<u>Answer:</u>

x = 5.00 cm

<u>Step-by-step explanation:</u>

• area of the rectangle = $x$ x $(x + 1)$

= $x^2 + x$

• area of the circle = π r²

= $\frac{22}{7}$ x $(x + 2)^2$

= $\frac{22}{7}$ x $(x^2 + 4x + 4)$

∴ $x^2 + x$ + $\frac{22}{7}$ x $(x^2 + 4x + 4) = 184$

⇒ $x^2 + x$ + $\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184$

⇒ $\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0$

• Using quadratic formula, where

a = $\frac{29}{7}$

b = $\frac{95}{7}$

c = $\frac{-1200}{7}$ ,

$x=\frac{-b \pm \sqrt{b^2-4c}}{2}$

$x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}$

$x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28$

As length (x) cannot be a negative number,

x = 5.00 cm

7 0

2 years ago

A coin contains 9 grams of nickel and 16 grams of copper, for a total weight of 25 grams. What percent of the metal in the coin

Tatiana [17]

Answer:

uh... 6%? sorry, i suck at math

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Meg has 26 toy ponies she gets 6 more for her birthday she displays half of them on a shelf and puts the rest in a box how many

otez555 [7]

Because Meg gets an additional 6 ponies, she adds them to her existing 26 ponies. This makes her have 32 ponies.
(CHECK: 26+6=32, 32-6=26)

Since she displays half of her 32, that means 16 of her ponies are on display.
(CHECK: 32/2=16, 16+16=32)

Hopefully this helps!! :)

8 0

3 years ago

Read 2 more answers

4. Using the Method of Completing the square, find the zeroes of the following function to the nearest

Juliette [100K]

Given:

The function is:

$F(x)=2x^2+12x+5$

To find:

The zeroes of the given function by using the Method of Completing the square.

Solution:

We have,

$F(x)=2x^2+12x+5$

It can be written as:

$F(x)=2(x^2+6x)+5$

By Method of Completing the square add and subtract square of half of coefficient of x in the parenthesis.

$F(x)=2(x^2+6x+(\dfrac{6}{2})^2-(\dfrac{6}{2})^2)+5$

$F(x)=2(x^2+6x+(3)^2)-2(3)^2+5$

$F(x)=2(x+3)^2-2(9)+5$ $[\because (a+b)^2=a^2+2ab+b^2]$

$F(x)=2(x+3)^2-18+5$

$F(x)=2(x+3)^2-13$

For zeroes, F(x)=0.

$2(x+3)^2-13=0$

$2(x+3)^2=13$

$(x+3)^2=\dfrac{13}{2}$

$(x+3)^2=6.5$

Taking square root on both sides, we get

$x+3=\pm \sqrt{6.5}$

$x=\pm \sqrt{6.5}-3$

$x\approx 2.55-3$ and $x\approx -2.55-3$

$x\approx -0.45$ and $x\approx -5.55$

Therefore, the zeroes of the given function are -0.45 and -5.55.

4 0

3 years ago

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence

-Dominant- [34]

Answer:

i would rather do 3% compounded interest

Step-by-step explanation:

Because it is monthly and i think the other one is yearly

4 0

4 years ago