PLEASE HELP GIVING BRAINLEST PLEASE 30 POINTS

Answer:

[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]

Step-by-step explanation:

Tangent Half Angle

Given an angle θ, then:

[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]

We are required to find:

[tex]\tan\frac{5\pi}{12}[/tex]

But it cannot be found in tables of main angles. We can use the angle

[tex]\theta = \frac{5\pi}{6}[/tex]

And use the formula above to find the required operation. Hence:

[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]

Operating:

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]

Simplifying:

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]

Rationalizing:

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]

[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]

Finally:

[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]

I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!

Answer:

The answer is 8 cm, i would show work but im in school

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

Answer:

C

Step-by-step explanation:

Answer:

The best deal is c. 5 pints of oil for $8

Step-by-step explanation:

Answer:

d

Step-by-step explanation:its right

Answer: A.)

Step-by-step explanation:

1,296.

Answer:

I think the answer is 36

Answer:

Step-by-step explanation:

if g(x)=3x-8

replace x with -2

g(-2)=3(-2)-8=-6-8=-14

Answer:

1542

Step-by-step explanation:

Step-by-step explanation:

rectangle=l×w

10×3=30ft

triangle=b×h/2

10×3/2

30/2

=15ft

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

[tex]4^{6}[/tex]  

4096

Step-by-step explanation:

i tried

Answer:

[tex]4^{6}[/tex]

Step-by-step explanation:

4 x 4 x 4 x 4 x 4 x 4 it's really just counting how many 4's there are. In this case there are 6 and the number being repeated 6 times is 4 so we only put it as [tex]4^{6}[/tex]. I know I'm late just wanted to answer :'D

Answer:

32 people got off

Step-by-step explanation:

For the 10th stop, we can get the total number of people that have gotten off

Mathematically, this is the product of the mean and the number of stops

= 10 * 6.3 = 63 people

Now, for the 11th stop, the total becomes

11 * 8.6 = 94.6

Hence;

(94.6-63) = 31.6

since there are no fractional humans, the number of people getting off is 32

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2) - 5 = 4 - 5 = - 1

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

Answer:

12 shamrocks

6 lbs

3/4 =6/8

Step-by-step explanation:

Answer:

Here I just did the Workin out. don't worry it's correct. Have a nice day!!

Answer:

70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

147/x * 210/100

147*100= 14700

14700/210 = 70

70%

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)

If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)

From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4)  as the center of enlargement.. Hence the new points are:

For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)

For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)

For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)

Answer:

A point is a coordinate pair

A ray is a starting point but no end point (so it goes on forever)

A segment is a line connecting two points

(I'm in 9th still learning-ish)

Answer:

k=12

Step-by-step explanation:

k=29-17

29-17=12

Step-by-step explanation:

Marta put $4.89 in her coin bank.

Each day she added 1 quarter, 1 nickel, and 6 pennies.

We know that,

1 quarter = 25 cents

1 nickel = 5 cents

1 penny = 1 cent

⇒ 6 pennies = 6 cent

Total amount added in 6 days,

= 25 cents + 5 cents + 6 cent

= 36 cents

We know that,

1$ = 100 cents

36 cents = $0.36

Total money in her bank,

= $4.89 + $0.36

= $5.25

Hence, this is the required solution.

Answer:

0.65:1

Step-by-step explanation:

Answer:

use math

Step-by-step explanation:

Answer:

-7 × 10

Step-by-step explanation:

Explanation:

6.3

×

10

5

is the same value as

63

×

10

4

So we have:

63

×

10

4

9

×

10

3

ddd

→

ddd

63

9

×

10

4

10

3

ddddddddd.d

→

ddd

63

9

×

10

If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3

→

6

+

3

=

9

so we will divide both top and bottom by 3 to simplify the fraction.

ddddddddd.d

→

ddd

63

÷

3

9

÷

3

×

10

Note that:

63

÷

3

9

÷

3

=

21

÷

3

3

÷

3

=

7

1

=

7

so we have:

(

6.3

×

10

5

)

÷

(

9

×

10

3

)

=

7.0

×

10

Negative version works the same exact way but with a negative sign

The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.

Given:

The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),

The values in the negative power in the numerator go to the denominator and vice versa,

(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)

Divide the 6.3 by 9 as shown below,

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²

(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³

To know more about scientific notation:

https://brainly.com/question/18073768

SPJ2

Answer:

x=4

Step-by-step explanation:

x

=

4

or

x

=

−

4

Explanation:

First divide throughout by  

2

to get

x

2

=

16

Now take the square root on both sides to get

x

=

±

4

.

You may now substitute the values of  

x

=

4

and

x

=

−

4

back into the original equation and check that it satisfies the equation which it does.

Answer:

Step-by-step explanation:

63 hours

hope it helps

Answer:

a little more than 16 1/2 hours but you should round it up to 17 hours

Step-by-step explanation:

If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.

(sorry if this is confusing but i hope it helped)

Answer:

-12

Step-by-step explanation:

4 1/2 - 5 1/8 =  -0.625

7.5 x -0.625 = -12