Answer:
See answer below
Step-by-step explanation:
You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:
<u>Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?</u>
<u></u>
According to that, I will use the angle of 30° to do this, but the distance of 42 feet.
Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.
With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:
tanα = a/b
Replacing we have:
tan30° = 42/b
b = 42 / tan30°
b = 72.75 feet
Hope this helps
Answer:
Given that JN was bisected, JL ≅ LN
Given that KM was bisected, KL ≅ ML
∠JLK ≅ ∠MLN because of vertical angles.
∠JLK is contained by JL and KL.
∠MLN is contained by ML and LN.
Therefore ΔJKL ≅ ΔNML by the SAS postulate.
Step-by-step explanation:
The SAS postulate states that when you know two triangles have an equal angle, and that angle is formed by two sides that are equal in both triangles, the two triangles are congruent.
When a line is bisected, it means it was cut in two equal parts.
Since two lines were bisected and each form a side in the triangles, two sides are congruent.
The contained angles, ∠JLK and ∠MLN, are equal because of vertical angles. Vertical angles occur when two straight lines intersect. Angles that are opposite to each other are equal in all cases.
This is middle school work woah
Answer:
a) 
b)
Step-by-step explanation:
Previous concepts
The Chi Square distribution is the distribution of the sum of squared standard normal deviates .
For this case we assume that the sample variance is given by 
and we select a random sample of size n from a normal population with a population variance 
. And we define the following statistic:
And the distribution for this statistic is 
For this case we know that n =25 and 
so then our statistic would be given by:
With 25-1 =24 degrees of freedom.
Solution to the problem
Part a
For this case we want this probability:
And we can multiply the inequality by 4 on both sides and we got:
And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"
Part b
For this case we want this probability:
If we multiply the inequality by 4 on all the terms we got:
And we can find this probability like this:And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"
Answer:
Jane has 11 books
Step-by-step explanation:
If Camilla has 15 and she has 4 more than Jane just subtract 15 - 4 = 11
