George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
2 answers:
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Answer:
No, Matt did not solve the equation correctly
Correct Answer: x = 8
Step-by-step explanation:
4(x + 2) = 30
Step 1: Distribute
4x + 2 = 30 This is his mistake, he should completely distribute 4
to x and 2
Step 2: Subtract 2 from both sides/Isolate x
4x = 28 This part is done correctly, but wrong because of Step 1
Step 3: Divide both sides by 4
x = 7 This is correct, but again, he messed up on Step 1
Step 1: Distribute
Remember to distribute 4 to all terms in the parenthesis.
4(x + 2) = 4(x) + 4(2)
= 4x + 8
4x + 8 = 30
Step 2: Subtract 8 from both sides/Isolate x
Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides (opposite operation of adding 8)
4x + 8 = 30
4x = 30 - 8
4x = 32
Step 3: Divide both sides by 4/Isolate x
Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself
4x = 32
4(x) = 32
x = 32 ÷ 4
x = 8
-Chetan K
Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
