Answer:
17.1 degrees
Step-by-step explanation:
This is a tangent question because angle XYZ is adjacent to 13 and opposite of 4. This means that we will have to use opposite/adjacent. This is very simple if you know the formula. Just plug those numbers in to get 4/13 = 0.3076923076923077. However, now we need to find it in degrees. If you have an inverse calculator near you, you would plug it in to get about 17.10, which rounds to 17.1.
X = 2
y = 3
You can simply set these two equal to each other and solve for x. Then plug in to find y.
Answer:
Surface Area A = 490 cm²
Step-by-step explanation:
Surface area of a prism A = 2(w l +h l + h w)
where l = length
w = width
h = height
l = 7 cm; w = 7 cm ; h = 14 cm
Surface Area = 2 { ( 7 × 7) + ( 14 × 7) + ( 14 × 7)}
A = 2 { 49 + 98 + 98}
A = 2 × 245
A = 490 cm²
It's greater than 117.859. Hope this helps
Answer: 5503680
Step-by-step explanation:
The coach wants 2 senior out of 36 so he have
C₃₆,₂ = 36!/( 36 - 2 )! = 36*35*34!/34! = 36 * 35 = 1260
possibilities
Now he also wants 3 juniors out of 14
C₁₄,₃ = 14!/ (14- 3)! = 14*13*12*11!/11! = 14*13*12 = 2184
Now for each pair of senior (from 1260 outcomes) coach has 2184 possiblities therefore
Coach has
2184 * 1260 = 2751840 possibilities to choose from
Again as there are 2 senior to choose for captain we have to multiply by 2 to get the total ways the team could be
2751840*2 = 5503680
