Answer:
e.869.58units^2
f. 96m^2
g. 184m^2
Step-by-step explanation:
e.
484 square
176 triangle
209.58 equilateral triangle
f. 196 total are - mini square 25+25+25+25= 96m^2
g. 22+66+80+16=184m^2
Answer:
Step-by-step explanation:
26. 16m
27. 15m
28. 37 degrees
29. 114 degrees
30. angle I is the only non given but the angles of a triangle add up to 180, so 180 minus the two givens, 114+37, which is 151. subtract 151 from 180 and you get 29. So 29 degrees
Answer:
The mass of the exotic fruit is 20 grams.
Step-by-step explanation:
For the system to be in equilibrium,
i. the resultant of all masses must be zero
ii. the total mass on the left of the hanger must be equal to that on the right
Thus,
84 g = 42 g + 42 g
mass of each carrot = 12 g
mass of each mushroom = 10 g
mass of each cherry = 2.5 g
mass of each strawberry = 5 g
So that;
On the left of the hanger,
(2 x 5) + (2 x 10) + 12 = 42
10 + 20 + 12 = 42
42 = 42
On the right of the hanger, let the mass of exotic fruit be represented by x.
x + 12 + 5 + (2 x 2.5) = 42
x + 12 + 5 + 5 = 42
x + 22 = 42
x = 20 g
The mass of the exotic fruit is 20 grams.
Answer:
Step-by-step explanation:
Recall the trigonometric identity .
Therefore, given , rewrite the left side of the equation:
Subtract from both sides:
Factor out from both terms on the left:
We now have two cases:
Since the problem stipulates that is in the interval , we have:
Recall that square brackets mean inclusive and parentheses mean exclusive. Therefore, .
Answer:
general, factored, and vertex form.
general: y=ax^2+b^2+c
Factored: y=(x+a)(x+b)
Vertex: y=a(x-h)^2+k
Step-by-step explanation: