Answer:
V = 408 SA = 378
Step-by-step explanation:
To find the volume, you need to first find out the area and multiply it by overall length.
A = 1/2 (6)(8)
= 24
Volume = 24 x 17
= 408
Surface Area
SA = Front and Back + Right Side + Left Side + Bottom
= 2 [1/2 (6) (8)] + (17 x 10) + (3 x 8) + (17 x 8)
= 2 (24) + 170 + 24 + 136
= 48 + 170 + 24 + 136
= 378
Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
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Answer:
50 in total, 45 were eaten
Step-by-step explanation:
If there's only 10% left and 10% is 5 cookies, then that means for every 10% is 5 cookies so 90 x 5 = 45
Answer:
-39
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...
a33 = 9 -1.5(33 -1) = 9 -48 = -39
The 33rd term is -39.