This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
<span>4y-9=15
Add 9 to both sides.
4y = 24
Divide both sides by 4.
y = 6
The value of y is 6.</span>
Answer: $10988.25
Step-by-step explanation:
From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:
= 420 + (15% × 420)
= 420 + (0.15 × 420)
= 420 + 63
= 483 students
Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:
= 483 × $22.75
= $10988.25
Answer:
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Step-by-step explanation:
