Answer:
50 boxes
Step-by-step explanation:
first we can find how many apples there are
42*12=504
then subtract 4 of the rotten apples
504-4=500
then find how many boxes there can be
500/10=50
100cm2 that is the answer I got
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
<h3>
Answer: Choice D. ![\angle SQR \cong \angle XQR](https://tex.z-dn.net/?f=%5Cangle%20SQR%20%5Ccong%20%5Cangle%20XQR)
</h3>
The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".
The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that
, then we can use ASA.
One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.
Answer:
Step-by-step explanation:
Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.
If X is height then X is N(55,6)
Z score would be ![\frac{x-55}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-55%7D%7B6%7D)
![a) P(X](https://tex.z-dn.net/?f=a%29%20P%28X%3C48%29%20%3D%20P%28Z%3C-1.17%29%20%3D%200.5-0.3790%3D0.1210)
b) ![P(60](https://tex.z-dn.net/?f=P%2860%3CX%3C65%29%20%3D%20P%282%3CZ%3C2.83%29%20%3D0.4977%20-0.4772%3D0.0205)
c) Tallest 10% z = 1.28
X score =
inches
d)
i.e. 16.37% cannot go on this ride.