Since we have a rectangle triangle, then we can find the other side of the triangle using the Pythagorean theorem.
We have then:

Then the surface area is given by the sum of the areas.
Triangle of the base and the top:

Rectangle 1:

Rectangle 2:

Rectangle 3:

Finally, the surface area is:

Substituting values:
Answer:
The surface area of a right triangle prism is:
B. 132
Step-by-step explanation:
it would be best to answer by the pictogram
To get the answer, you need to solve the equation for x = 7.
f(7) = 3/7 + 2 - sqrt(7) - 3.
= 3/7 - 1 - sqrt(7).
If you need to simplify it further:
= -4/7 - sqrt(7).
If you need it in decimal form: = -3.2171798824
Answer:
C) P(1, -26/7)
Step-by-step explanation:
You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.
<h3>Weighted average</h3>
Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.
P = (2A +5B)/(2+5)
P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7
P = (1, -26/7)
The coordinates of P are (1, -26/7).
Answer:
88
Step-by-step explanation:
The original number ⇒ 100
100 is increased by 10%
The result is 20% reduced.
Calculate increase.
100 × (1 + 10%)
100 × (1.1)
= 110
Calculate decrease.
110 × (1 - 20%)
110 × 0.8
= 88