Lina used 75 square inches of fabric to make a triangular pennant to take to football game.The base of the pennant was 6 inches.
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slope
<u>1) Determine the slope of line S using line R (m)</u>
We can identify clearly that the slope of the line is , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be
. Plug this into
:
<u>2) Determine the y-intercept of line S (b)</u>
Plug in the given point (-4,3) and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept is 2. Plug this back into :
I hope this helps!
Answer:
100 ft high
Step-by-step explanation:
We know that Erin, the kite, and her friend create a right triangle since the friend is standing directly under the kite and in front of Erin.
Thus, we can use the Pythagorean theorem to find the height of the kite.
We can let the side the distance be at represents Erin and the kite's distance be EK (aka the hypotenuse), the side that represents Erin and her friend's distance be EF and the side that represents the kite and the friend's distance be KF.
The theorem says that a^2 + b^2 = c^2, where a and b are the two shortest sides and c is the hypotenuse.
We already have the measure of the hypotenuse (260 ft) and one of the shorter sides (240), so we have: