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SOVA2 [1]
3 years ago
10

Henry is asked to find the exact value of cosine StartFraction 10 pi Over 3 EndFraction. His steps are shown below. 1. Subtract

2 pi from StartFraction 10 pi Over 3 EndFraction as many times as possible: StartFraction 10 pi Over 3 EndFraction – 2 pi = StartFraction 4 pi Over 3 EndFraction 2. Find the reference angle for StartFraction 4 pi Over 3 EndFraction: StartFraction 3 pi Over 2 EndFraction – StartFraction 4 pi Over 3 EndFraction= StartFraction pi Over 6 EndFraction. 3. The cosine value for StartFraction pi Over 6 EndFraction is StartFraction StartRoot 3 EndRoot Over 2 EndFraction. 4. The cosine value is positive because StartFraction pi Over 6 EndFraction is in the first quadrant. Which of the following describes Henry’s errors? The reference angle should be StartFraction pi Over 3 EndFraction, and the sign of the value should be negative. The reference angle should be StartFraction pi Over 3 EndFraction, and the cosine value for StartFraction pi Over 3 EndFraction is One-half. The sign of the value should be negative, and the reference angle and quadrant should be determined by subtracting Pi in the first step. The cosine value for StartFraction pi Over 6 EndFraction is One-half, and the reference angle and quadrant should be determined by subtracting Pi in the first step.
Mathematics
2 answers:
deff fn [24]3 years ago
5 0

Answer:

I can conform that it is A.

lapo4ka [179]3 years ago
3 0

Answer:

A. The reference angle should be pi/3, and the sign of the value should be negative.

Step-by-step explanation:

Just took the unit review.

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7 0
2 years ago
4+ 2x = 12; ( 2) having trouble with dis :(
cupoosta [38]
4 + 2x = 12

-------------------------------------
Take away 4 from both sides:
-------------------------------------
2x = 8

-------------------------------------
Divide by 2 on both sides:
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x = 4

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Answer: x = 4
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5 0
3 years ago
Find the values of a such that the solution
e-lub [12.9K]

Answer:

The solution is the interval  (-∞,5]

Step-by-step explanation:

we have

x\leq 5

The solution is the interval -----> (-∞,5]

All real numbers less than or equal to 5

In a number line the solution is the shaded area at left of x=5 (close circle)

see the attached figure

8 0
3 years ago
What percent of students ran the mile in 12 minutes or less?
otez555 [7]
41% of students ran in 12 minutes or less.

Using the histogram we see that there were 2+12+11+9=34 students that ran.  Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).

14/34 = 0.411 = 41%.
5 0
3 years ago
Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a max
Rasek [7]

Answer:

In option a, w < 10

in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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