Answer:
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z----> the scale factor
x----> corresponding side of the larger trapezoid
y----> corresponding side of the smaller trapezoid
we have
substitute
step 2
Find the area of the larger trapezoid
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z----> the scale factor
x----> area of the larger trapezoid
y----> area of the smaller trapezoid
we have
substitute
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
<em>200 * 3.78 is the same as 2 * 378, which is 756.</em>
756 - (200 * 2)
<em>200 * 2 is the same as 4 * 100, which is 400.</em>
756 - 400
<em>Subtract 400 from 756 to get 356.</em>
356
If they brought the pizza last week, the school could have saved $356.
Well the answer is 12-14=%58=x
Answer:
Step-by-step explanation:
Because the line of sight from the top of the lighthouse is parallel to the water, the angle of depression (which is OUTSIDE the right triangle) is alternate interior with the angle of elevation, which is the base angle INSIDE the right triangle this creates. The base angle that is NOT the right angle, of course. Because these angles are alternate interior of a transversal cutting a pair of parallel lines, they are congruent. Therefore, we need to find the measure of the base angle using the 2 sides given. The height of the lighthouse is the height of the triangle and the distance the boat is from the base of the lighthouse is the side adjacent to the angle. We are looking at the tangent ratio which is side opposite/side adjacent. When you need to find a missing angle on your calculator, you willl use the 2nd button and then whichever trig identity you need. Because we need tangent, we will hit 2nd then tan and get this on our screen:
Inside that parenthesis, enter 300/720 and hit enter to get your angle. 2 things here: make sure you are in degrees in your calculator by hitting mode and checking that "degrees" is highlighted instead of radians, and secondly, you do not have to close the parenthesis to get the correct answer. Your angle measure should be 22.619 degrees, by the way.
4 yards since there is a four at the unit rate