Answer:
Similar-AA
Step-by-step explanation:
If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.
(p.s. This sign ~ means similar)
Answer:
0.625 gallons each
Step-by-step explanation:
Because she used 5 gallons of water, and poured the same amount of water for each plant, divide the number of gallons she used by the number of plants:
5 divided by 8
= 0.625 gallons per plant
The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches
Answer:
x-intercepts: (2, 0) and (−5, 0)
y-intercept: (0, −10)
Step-by-step explanation:
y = x^2 + 3x − 10
y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))
x-intercept when y = 0 so
x^2 + 3x − 10 = 0
(x +5)(x - 2) = 0
x + 5 = 0; x = -5
x - 2 = 0; x = 2
So x-intercepts: (-5, 0) and (2,0)
Here's what we'll be evaluating:
24 2/3 - 5/6 24 4/6 - 5/6 23 10/6-5/6 23 5/6
------------------- = -------------------- = -------------------- = ----------------------
11 pieces 11 pieces 11 pieces 11 [pieces
Now, this 23 5/6 is equivalent to 143/6, which we must divide by 11:
143 1
------ * ---------- = 13/6 (feet)
6 11
Each piece will be 13/6 ft long (2 1/6 ft).
