Answer:
Step-by-step explanation:19 and 31
5 3/7 - 2 1/5 -> 38/7 - 11/5 = 27/2 = 13 1/2
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.
1/8 = 0.125
23.125 x 17 gallons = 393.125
393.125 = 393 1/8 miles
Answer:
Step-by-step explanation:
<u>If p is the original price, the markdown price is:</u>
- p - 20% =
- p - p(20/100) =
- p - 0.2p =
- 0.8p
<u>Now, another 20% off:</u>
- 0.8p - 20% =
- 0.8p - 0.8p(20/100) =
- 0.8(p - 0.2p) =
- 0.64p
<u>Answer choices:</u>
- A. 0.2(1p-0.2p)
- B. 0.6p
- C. (1p-0.2p)-0.2p
- D. 0.8p(1p-0.2p)
Correct one is D