Answer:
The tree is 126 inches which is 10.5 feet.
Step-by-step explanation:
36x98= 3528
3528=28x
3528/28=126/12=10.5
Because all 3 sides are given for both triangles you can use the SSS theorem
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
m = (y2-y1)/(x2-x1)
m = (3-(-3))/(3-0)
m = 6/3
m = 2
y = mx + b
y = 2x + b
3 = 2(3) + b
3 = 6 + b
b = -3
therefore
y = 2x - 3
