Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>
Let's solve your equation step-by-step.<span><span>−<span>7.5<span>(<span>x−3</span>)</span></span></span>=3.75</span>Step 1: Simplify both sides of the equation.<span><span>−<span>7.5<span>(<span>x−3</span>)</span></span></span>=3.75</span><span><span><span><span>(<span>−7.5</span>)</span><span>(x)</span></span>+<span><span>(<span>−7.5</span>)</span><span>(<span>−3</span>)</span></span></span>=3.75</span>(Distribute)<span><span><span>−<span>7.5x</span></span>+22.5</span>=3.75</span>Step 2: Subtract 22.5 from both sides.<span><span><span><span>−<span>7.5x</span></span>+22.5</span>−22.5</span>=<span>3.75−22.5</span></span><span><span>−<span>7.5x</span></span>=<span>−18.75</span></span>Step 3: Divide both sides by -7.5.<span><span><span>−<span>7.5x</span></span><span>−7.5</span></span>=<span><span>−18.75</span><span>−7.5</span></span></span><span>x=2.5</span>
Answer:
I think the answer 22.
Step-by-step explanation:
It's seven becuase 7*7 equals 49.
Answer:
0.004
Step-by-step explanation:
If two events A, B with probabilities P(A), P(B) are independent, then the probability of the two events ocurring at the same time A∩B is P(A)P(B).
In this case we have
P(torque=very high) = 0.3
P(torque=high) = 0.4
P(torque=average) = 0.2
P(torque=low) = 0.01
Using the product rule, we see there are
ways of partitioning 25 bolts in groups of 7,8,6 and 4 bolts.
Each one of those partitions has a probability of
So, the probability of rating 7 very high, 8 high, 6 average, and 4 low is
