Trigonometry Practice

Answer:

[tex]7m\\ 322m^{2}[/tex]

Step-by-step explanation:

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer:

Step-by-step explanation:

Answer:

5x+3

Step-by-step explanation:

Answer:

5x + 3 = y

Step-by-step explanation:

y represents the answer

3 more means +3

Product is the answer when two or more values are multiplied together.

So, three more than the product of 5 and x would be 5x + 3 = y

Answer:

sorry

Step-by-step explanation:

Answer:

4x+3x-1+x+3=8x+2=82

8x=80

x=10

3x-1=30-1=29

Step-by-step explanation:

Answer:

Mean: 29.6

MAD: 10

Step-by-step explanation:

Answer:

Mean = 29.6

MAD = 10

Step-by-step explanation:

For the mean, just add all of the points together and divide it by 10 since there are 10 games.

For the MAD, use the mean and subtract is from each of the games. As an example, just do 23-29.6 and ignore if it is a negative sign. Do it for all and then add up the leftovers. Then divide it by the 10 games.

(6.6+1.4+1.6+8.4+10.6+8.4+15.4+4.6+26.6+16.4)/10

Check out a khan academy video about it if you're having trouble

Answer:

Maria made more money

Answer: 12

Step-by-step explanation: 42/7 = 6 and you get 2 free passes so 6 x 2 = 12

Answer:

1844

Step-by-step explanation:

For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, z is the critical value and n is the sample size.

Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.

The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.

The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.

Put the value in the above formula as,

[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]

Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.

Learn more about the margin of error here;

https://brainly.com/question/10218601

Answer:

$1344.31

Step-by-step explanation:

1111*0.11*11=1344.31

Answer:

y = - [tex]\frac{5}{2}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (2, 0)

m = [tex]\frac{0+5}{2-4}[/tex] = [tex]\frac{5}{-2}[/tex] = - [tex]\frac{5}{2}[/tex] , then

y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 5 + c ⇒ c = 0 + 5 = 5

y = - [tex]\frac{5}{2}[/tex] x + 5 ← equation of line

Answer: 99%?

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

Answer:

150pi

Step-by-step explanation:

lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi

Please tell me if I'm wrong D:

Answer:

20.8mm

Step-by-step explanation:

We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.

This means all sides are 2.6mm.

So if we run the calculation:

2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)

We have our final answer!

Answer:

370

Step-by-step explanation:

First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333

Then find amount for all pencils

3.333 by 111 is 369.963

Then we round up to have a realistic amount of pencils to 370

Answer:

60

Put the Brainlest please

Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

Answer:

12 is the answer

Step-by-step explanation:

12 is the answer

Answer:

£10.75

Step-by-step explanation:

£5.25 x 17 = 89.25

5 £20 notes is £100

£100 - £89.25 = £10.75

Answer: £10.75

Step-by-step explanation:

£5.25 x 17 = 89.25

5 £20 notes is £100

£100 - £89.25 = £10.75

Answer:

bro its c i promise

Step-by-step explanation:

trust me

Answer:

x ≈ 2.55

Step-by-step explanation:

Since the triangles are congruent then DE ≡ AB , that is

DE = AB

76x - 7 = x + 184 ( subtract x from both sides )

75x - 7 = 184 ( add 7 to both sides )

75x = 191 ( divide both sides by 75 )

x ≈ 2.55 ( to the nearest hundredth )

Answer:

60

Step-by-step explanation:

150/250 means she would have sold 60% of the corn, and 60% is 60/100 so no further work is required because the corn at start is already 100.

Please refer to the above attachment

Step-by-step explanation:

[tex] \frac{14}{ \sqrt{2} } + \sqrt{50} \\ \frac{ \sqrt{2} \times \sqrt{2} \times 7}{ \sqrt{2} } + \sqrt{25 \times 2} \\ \\ 7 \sqrt{2} + 5 \sqrt{2} = 12 \sqrt{2} [/tex]

The given expression can be written in the form of b√2 as 12√2 where b = 12.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is [tex]14/\sqrt{2}+\sqrt{50}[/tex].

It can be rewritten as,

[tex]14/\sqrt{2}+\sqrt{50}[/tex]

Multiply √2 to both numerator and denominator of 14/√2 as,

14√2/2 + √50

⇒ 7√2 + √(5 × 5 × 2)

⇒ 7√2 + 5√2 = 12√2

On comparing 12√2 with b√2, it is obtained as,

b = 12

Hence, the given expression can be written as 12√2.

To know more about algebraic expression click on,

brainly.com/question/953809

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Answer:

32

Step-by-step explanation:

If there are 6 eggs in a row and there are 4 rows, the total number of eggs = 6 x 4 = 24 eggs

The sum of eggs and bagels = 24 + 8 = 32

Answer:

$13.79

Step-by-step explanation:

$8.00+$2.00+$1.00=$11.00

7%=$0.77

$11.00+$0.77=$11.77

20%=$2.02

$11.77+42.02=$13.79