Answer: Surface area = 392 in²
Step-by-step explanation:
It is divided into different sections as shown in the attached photo to aid explanation.
Looking at the attached photo
Area of A = 6 × 6 = 36 in²
Area of B = 4 × 10 = 40 in²
Area of the face containing A and B = 36 + 40 = 76 in²
Since the face is the same on the opposite end,
Area of the opposite end of AB = 76 in²
Area o C = 6 × 4 = 24 in²
Area of D = 6 × 6 = 36 in²
Area of E = 6 × 6 = 36 in²
Area of F = 6 × 4 = 24 in²
Area of base G = 10 × 6 = 60 in²
Area of back H = 6 × 10 = 60 in²
The surface area is the sum of all the faces of the given solid.
Therefore,
Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches
Hey there :)
g ( x ) = 2x² - 11x
For g ( - 1 ) , you need to substitute - 1 in place of x
g ( - 1 ) = 2 ( - 1 )² - 11 ( - 1 )
= 2 ( 1 ) + 11
= 2 + 11
= 13 → Your answer
The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time and the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.
Answer:
First we need to calculate ∠R
Since ∠R is one of three angles of ΔRDJ, we have:
∠R + ∠D + ∠J = 180°
∠R = 180° - ∠D - ∠J
∠R = 180° - 83° - 39° = 58°
Since ΔRDJ ~ ΔTRB, we can con conclude that:
∠R = ∠T
Because ∠R = 58°
=> ∠T = 58°
the volume of a pymaird is Volume of a Pyramid<span>A pyramid has a base and triangular sides which rise to meet at the same point. The base may be any polygon such as a square, rectangle, triangle, etc. The general formula for the volume of a pyramid is:Area of the base * Height * 1/3<span>The volume of a pyramid with a rectangular base is equal to:
</span><span>Length_of_base * Width_of_base * Height * 1/3 </span></span>
<span><span>d</span></span>
