To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:
The diagonal <em>c</em> separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem
a²+b²=c² ← Since this is a square, a=b is a must
a²+a²=c² ← Combine like terms, and plug 26 in for c
2a²= 26² ← 26²=676, then divide 2 on both sides
a²= 676/2
a²=338 ← We can just stop here! Since <em>a </em>is a side of the square, therefore the area of a square = a²
Answer: 338 units²
Answer:
x=2√5
Step-by-step explanation:
<u>1st method:</u>
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
<u>2nd method:</u>
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
<u>3rd method:</u>
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5
Answer:
- 1 bus, 72 vans
- $6960 is the minimum cost
Step-by-step explanation:
A bus costs over $19 per student; a van costs less than $12 per student. The required number of students could be transported by 81 vans, but that requires 81 chaperones.
Since there are only 80, and a bus requires fewer chaperones per student, we can reduce the number of required chaperones to an acceptable level by employing one bus. 1 bus replaces 9 vans, and requires 1 less chaperone than 9 vans.
The minimum cost is 1 bus and 72 vans. That cost is $1200 +72×$80 = $6960.
Answer:
Y=(-x/2)-3
Step-by-step explanation:
You have two points:
(0,-3) and (-4,-1)
The formula of line trough two points is:
(Y-y1)/(y2-y1)=(x-x1)/(x2-x1)
So put these two point like (x1,y1) and (x2,y2) you will get
(Y+3)/(-1+3)=(x-0)/(-4-0)
Y+3=2x/(-4)
Y=-x/2-3
