Answer:
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Step-by-step explanation:
<u>Triangle Solving</u>
If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.
The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are
The internal angles can be computed by using the cosine's law
Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:
Similarly
The other angle is computed now
The area can be found by
Answer:
73 and 15
Step-by-step explanation:
I made two variables for this:
x = larger number
y = smaller number
Write an equation for "the sum of two number is 88" and you get:
x + y = 88
Write an equation for "four times the smaller number is subtracted from the larger number" and you get:
x - 4y = 13
I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:
x + y = 88 -- move the x to the other side
y = 88 - x
x - 4y = 13 -- substitute for y
x - 4(88 - x) = 13 -- multiply by 4
x - 352 + 4x = 13 -- move -352 to the other side, combine x's
5x = 365 -- divide by 5
x = 73
Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:
73 + y = 88 -- subtract 73 from both sides
y = 88 - 73
y = 15
Answer:
1/3 feet.
Step-by-step explanation:
The length = area / width
= 7/9 / 2 1/3
= 7/9 / 7/3
= 7/9 * 3/7
= 3/9
= 1/3 feet,
Answer:
It is called a triangle
Step-by-step explanation:
