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Sedaia [141]
3 years ago
6

I need help with this question pleas e

Mathematics
1 answer:
ollegr [7]3 years ago
4 0

Answer:

B

Step-by-step explanation:

The double angle formulae for cosine is

cos2x = cos²x - sin²x

[ using sin²x + cos²x = 1 ]

cos2x = cos²x - (1 - cos²x) = cos²x - 1 + cos²x = 2cos²x - 1

Also cos2x = (1 - sin²x) - sin²x = 1 - sin²x - sin²x = 1 - 2sin²x

The double angle formulae are

cos2x = cos²x - sin²x = 2cos² - 1 = 1 - 2sin²x

Hence

cos60° = cos²30° - sin²30°

cos60° = 2cos²30° - 1

cos60° = 1 - 2sin²30°

B is not a representation of cos60°

         

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During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 pe
Lena [83]
You need to work about 12.5 hours because from your gas station job, since you work 30 hours every week, times that by 8.75$ which equals 262.5$ at the end of the week, so subtract 262.5 from 400 which is 137.5, then you need to dived that by 11 since its $ per hour, after doing that you get 12.5 hours, so you would have to work 12.5 hours at your landscaper job
8 0
3 years ago
The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars
vlabodo [156]
The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

A=P(1+\frac{r}{100})^t

to obtain

6427.35=6000(1+\frac{r}{100})^2

We divide through by 6000 to obtain,

\frac{6427.35}{6000}=(1+\frac{r}{100})^2

This implies that,

1.071225=(1+\frac{r}{100})^2

We take the square root of both sides,

\sqrt{1.071225}=(1+\frac{r}{100})

This gives us,

1.035=(1+\frac{r}{100})

Add -1 to both sides of the equation to obtain

0.035=\frac{r}{100}

Multiply through by 100 to obtain;

r=3.5%

Therefore the rate is 3.5%
3 0
3 years ago
How much of the garage foot is white
Ket [755]
All you do is multiply 15 and 6 you get 90. then divide 90 by 9 and you get 10.
4 0
3 years ago
The school soccer coach records the number of goals some players have scored so far this season. The dot plot of the number of g
yuradex [85]

Answer:

the means absolute deviation is 1.8

the striking deviation is 7

(it is because the data point on the far right of the graph)

Step-by-step explanation:

calculate the absolute deviation:

1.  calculate the mean (add all numbers and divide by 10) = 2.6

2.  find the absolute value of each

2.6 - 0 = 2.6

2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)

2.6 - 3 = 0.4

2.6 - 4 = 1.4 (you have 4's 3 times)

2.6 - 7 = 4.4

3.  Then add all of those values together

2.6 + 1.6 + 1.6 + 1.6 +  1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18

4.  find the mean of the difference

18/10 = 1.8

3 0
3 years ago
A ladder that is 6 meters long leans
alexira [117]

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

6 0
3 years ago
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