7(x-2) +3x=46
7x-14+3x=46
10x-14=46
10x=60
X=6
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>x^2+4x-1/(x+2)^2=0
x^2 + 4x - 1 = 0
</span>
;
where a = 1, b = 4 and c = -1
Answer:
1. 450
2. 8(12)+3(2.50)
3. 10
4. 32
Step-by-step explanation:
1. 700-250=450
2. 8 people going to the theater. If tickets cost $12 each, you multiply 8 by 12 to get the ticket cost. If 3 people ordered drinks and drinks cost $2.50, you multiply 3 by 2.50 to get the drink cost. Since this is asking for the total cost you add your first 2 answers to get the final cost.
3. 12/3=4, which means one pound costs $4. To find the amount bought with $40, divide 40 by 4, which equals 10 pounds.
4. To find percents, you turn your percentage into a decimal by dividing by 100. (400/100=4), then you multiply that by the number you are trying to find a percentage of(8x4=32). This gives you the answer 32.
