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3 years ago

Find the perimeter of the figure to the nearest hundredth.

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

Step-by-step explanation:

Perimeter of figure

$= 5 + 2 \times 7 + \pi \: r \\ = 5 + 14 + 3.14 \times 5 \\ = 19 + 15.70 \\ = 34.70 \: in \:$

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What are the solutions to the quadratic equation 5x2 + 60x = 0?

const2013 [10]

5x^2+60x=0
x(5x+60)=0

x=0
and
5x+60=0
5x=-60
x=-12

therefore, the first option is correct

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3 years ago

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X to the second power - x - 6 > 0

Makovka662 [10]

X^2 - x - 6 > 0
(x - 3)(x + 2) > 0
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answer
x < - 2 or x > 3

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A summer camp has divided its campers into 8 groups of 9 campers.how many campers are at the summer camp?

Virty [35]

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3 years ago

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Factorise 9w² - 100<br><br><br>

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

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3 years ago

Explain the difference between perimeter and area.why do they measure?what type of units are they measured in?

just olya [345]

Perimeter is the distance around an object / shape. Area is the amount of space within a 2 dimensional surface. For example the perimeter of a square would be the lengths of each side added together while the area would be how much space inside of it that it occupies. Area is measured in units squared, while perimeter is left in just units. In other words if the unit ( measurements ) are conducted in cm, then the area would be put in cm^2. The perimeter would just remain in cm.

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3 years ago