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Igoryamba
3 years ago
11

__cos b = 1/2 [cos (a+b) + cos (a-b)] A. sin(a) B. sin(b) C. cos(a) D. cos(b)

Mathematics
2 answers:
Annette [7]3 years ago
5 0

Answer:

C is correct

COS (A) is right

Step-by-step explanation:

Helen [10]3 years ago
4 0

Answer:

cos(a)

Step-by-step explanation:

I substituted it on a calculator:

a = 30

b = 45

1/2 [ cos (a + b) + cos (a - b)]

1/2 [ cos (30 + 45) + cos (30 - 45)] = Sqrt6/4

cos(a)cos(b)

cos(30)cos(45) = Sqrt6/4

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I need help! Math isn’t my best subject
Dmitriy789 [7]

Answer:

A and c

Step-by-step explanation:

multiply the 3 to both parts of equation

6 0
2 years ago
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The average weight of a 7-year old girl is 49 pounds. The average weight of an 11 year old girl is 77 pounds.
Aneli [31]
I only know D. but I'll try to figure out the rest too. D. 9 years old

8 0
4 years ago
Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
ololo11 [35]

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

4 0
3 years ago
The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
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frosja888 [35]

Answer:

C. 33 square feet.

Step-by-step explanation:

to get the area of irregular polygon.

divide the area into two parts (see attached image)

total area = A1 + A2

where A = 1/2 base x height

total area = ( 1/2 * 6 * 8) + (1/2 * 6 * 3)

total area = 24 + 9

total area = 33 square feet.

therefore the answer is C. 33 square feet.

3 0
3 years ago
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