<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
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Answer:
y = (1/3)x
Step-by-step explanation:
If this is truly a line, then we can find its equation using any two of the three given points. If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8. Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.
Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b. Thus, b = 0, and the line is y = (1/3)x.
Answer:
a) 4/7 L = 0.57 L
b) 25/7 L = 3.57 L
Step-by-step explanation:
The ratio of orange juice to ginger ale is 2:5.
Add 2 + 5 = 7.
The ratio of orange juice to ginger ale to total drink is 2:5:7.
a) The fraction of orange juice is 2/7 of the total drink.
To make 2 L, you will need 2/7 of 2 L to be orange juice.
2/7 * 2 L = 4/7 L = 0.57 L
b) The fraction of ginger ale is 5/7 of the total drink.
5/7 * 5 L = 25/7 L = 3.57 L
Answer:
y-2=9(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=9(x-(-3))
y-2=9(x+3)
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
