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3 years ago

14

Find an expression in its simplest form for the perimeter of this shape

1 answer:

s344n2d4d5 [400]3 years ago

3 0

Answer:

(18p + 18)

Explanation:

the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.

the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).

the vertical length is the difference between 4p and 2p, which is 2p.

now, we can add all of these values together:

4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)

= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9

= <u>18p + 18</u>

i hope this helps! :D

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There is a drought and the oak tree population is decreasing at the rate of 7% per year. If the population continues to decrease

nydimaria [60]

About 25 years I think

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3 years ago

The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are

nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

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Divide both sides by 6

6y/6=66/6

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4 0

3 years ago

218 rounded to nearest 10

tangare [24]

The answer is 220 because you would just have to round 1 to 2 than everytging behind it is a zero

4 0

3 years ago

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Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them

MatroZZZ [7]

Answer:

The formula for the area of the triangle is:

$\displaystyle A=24x^2$

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

$\displaystyle A=\frac{1}{2}bh$

So, by substitution:

$\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2$

When <em>x </em>= 3, the area will be:

$\displaystyle A(3)=24(3)^2=216\text{ cm}^2$

And when <em>x</em> = 2.4, the area will be:

$A(2.4)=24(2.4)^2=138.24\text{ cm}^2$

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

$a^2+b^2=c^2$

So:

$(40)^2+(30)^2=c^2$

The hypotenuse will be:

$c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}$

3 0

3 years ago

Evaluate the expression

Airida [17]

Answer:

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Step-by-step explanation:

(5x -2y) / y

Let x = -4 and y = -4

(5*-4 - 2*-4) / -4

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-12/ -4

3

5 0

3 years ago

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