Answer:
sin 70° = cos (90° - 70°)
Step-by-step explanation:
You need to use the trigonometric ratios which states that:
sin α = cos (90° - α)
sin 70° = cos (90° - 70°)
sin 70° = cos 20°
The answer is "Connect two arcs together with a compass".
You can inscribe different regular polygons by creating a circle and connecting two arcs together. There are different procedures and they depends on what kind of regular polygon you will be creating.
X²+2x+3=(x²+2x+1)+2=(x+1)²+2
the graph of x²+2x+3 has a vertex at (-1,2), a symmetry line x=-1, go through the y axis at (0, 3), opening upward above y=2
Answer:
<u>0.9524</u>
Step-by-step explanation:
<em>Note enough information is given in this problem. I will do a similar problem like this. The problem is:</em>
<em>The Probability of a train arriving on time and leaving on time is 0.8.The probability of the same train arriving on time is 0.84. The probability of the same train leaving on time is 0.86.Given the train arrived on time, what is the probability it will leave on time?</em>
<em />
<u>Solution:</u>
This is conditional probability.
Given:
- Probability train arrive on time and leave on time = 0.8
-
Probability train arrive on time = 0.84
-
Probability train leave on time = 0.86
Now, according to conditional probability formula, we can write:
= P(arrive ∩ leave) / P(arrive)
Arrive ∩ leave means probability of arriving AND leaving on time, that is given as "0.8"
and
P(arrive) means probability arriving on time given as 0.84, so:
0.8/0.84 = <u>0.9524</u>
<u></u>
<u>This is the answer.</u>
She will go for 7 trips if she has 15 1/2 gallons of water
<h3>Proportion and equations</h3>
From the given information, Ellen can carry
1 3/8 gallons of water each trip, this means:
In order to calculate the number of trips, it will take to make 15 1/2 gallons of water, we will have:
x = 21/2 gallons
Take the ratios of both expressions:
1/x = 11/8 * 2/21
1/x = 22/168
x = 168/22
x = 7.64 trips
Hence she will go for 7 trips if she has 15 1/2 gallons of water
Learn more on proportions here: brainly.com/question/18437927
