9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
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(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
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(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
Answer:
0.13591.
Step-by-step explanation:
We re asked to find the probability of randomly selecting a score between 1 and 2 standard deviations below the mean.
We know that z-score tells us that a data point is how many standard deviation above or below mean.
To solve our given problem, we need to find area between z-score of -2 and -1 that is 
.
We will use formula 
to solve our given problem.
Using normal distribution table, we will get:
Therefore, the probability of randomly selecting a score between 1 and 2 standard deviations below the mean would be 0.13591.
Answer:
x= 3/4
Step-by-step explanation:
I looked it up. Hope this helps
Answer:
18d - 24c
Step-by-step explanation:
(see attached for reference)
6(3d - 4c) (use distributive property as per attached)
= 6(3d) - 6(4c)
= 18d - 24c (answer)
hope this helps
Answer:
a ">"
Step-by-step explanation:
3 to the power negative one (-1) is the same as 1/3 (one unit divided by 3).
1/4 on the other hand is one unit divided by 4.
Dividing one object into three parts (think for example a chocolate bar) gives you a larger (greater) piece than dividing it into four equal pieces.
Therefore 1/3 > 1/4
