The diagram of the ladder leaning on a wall is shown below
We will use the trigonometry ratio for cosine to solve for 'x'
We choose the cosine ratio because we have the angle, 61° and the side adjacent to the angle



, rounded to 2 dp
Answer:
7 inches
Step-by-step explanation:
Now the area of a rectangle equals to length by width or in this scenario, height by base.
Therefore, we take a look at what we already have.
We got 5 inches for height and 35 squared inches as the area.
h= 5 inches a=35squared inches b=?
*Therefore, 5 x b =35
Through substitution this becomes:
*35/5= b
*Therefore b=7 inches
Answer:
Step-by-step explanation:
Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.
i.e. Sample mean = 1040 and
Sample std dev s = 25 gm
Sample size n = 100
Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

Normal curve would be with mean 1040 and std deviatin 25
b) P(X>1115)
= 1-0.9987
=0.0013
i.e. 0.13% would receive a bag that had a weight greater than 1115 grams
Answer:
x-45=12
Step-by-step explanation:
a number equals x
difference equals -
of a number and 45 so 45 first
is equals =
12 is after is so 12