×imagine this is a flattened pyramid box. When you fold along the dotted lines you can see which sides are equivalent.
Add up the areas of each piece.
Two identical rectangular pieces 7 × 10
2(7)(10) = 140
One small rectangular piece 6 × 7
7(6) = 42
Two identical triangles
2(0.5)(6)(8) = 48
Add up all the pieces
140 + 42 + 48 = 230
The conclusion is valid
it is a systematic random sample
and the second one is a line graph (I think)
Answer:
113.142 mm
Step-by-step explanation:
Easy.
Formula:
pi x radius x radius
Solution: 3.141592654 or 22/7 for pi
22/7 x 6 x 6 = 113.142 mm
Answer:I believe it is 31 degrees
Step-by-step explanation:
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
