Answer: 240
Step-by-step explanation:
Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly
Answer:
A rectangular prism's two identical ends are rectangles, and as a result, the four sides between the ends are also two pairs of identical rectangles. Because a rectangular prism has six rectangular faces or sides, its surface area is just the sum of the six faces, and because each face has an identical opposite, you can calculate the surface area with the formula 2 * length * width + 2 * width * height + 2 * height * length, where length, width and height are the prism's three dimensions.
Find the length, width and height measurements of the prism. For this example, let the length be 12, the width be 10 and the height be 20.
Multiply the length and width, then double that product. In this example, 12 multiplied by 10 equals 120, and 120 multiplied by 2 equals 240.
Step-by-step explanation:
Hope this helps :p
We know that sin (2x) = 2 sinxcosx.
So, sin (2x) + sin (x) - 2 becomes
2sin xcosx + sinx- 2.
Factor out sinx.
sinx(2cosx + 1 - 2)
sinx(2cosx - 1)
Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
<span>The function g(x) is obtained by adding 3 to f(x).
The vertex of f(x) is at (0,0), and the vertex of g(x) is at (0,3). This means that 3 points should be adding to f(x) to achieve g(x); this shifts f(x) upwards 3 points.</span>
