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nevsk [136]
2 years ago
12

Work out the value of A

Mathematics
1 answer:
Mkey [24]2 years ago
6 0

Answer:

that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.

you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.

so the perimeter is the sum of of all side lengths.

56 = x - 1 + 3x + 3x + 1 = 7x

x = 8

that gives us the side lengths :

x - 1 = 7 cm

3x = 21 cm

3x + 1 = 22 cm

the formula for the area of a triangle

A = baseline × height / 2

the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).

so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.

therefore,

A = 21×7/2 = 147/2 = 73.5 cm²

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Find the slope of a line perpendicular to 3x + 5y = 15.
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Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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