Given
Given 15 cot A = 8, find sin A and sec A.​

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

Answer:

[tex]f = \frac{720}{11}[/tex]

Step-by-step explanation:

Given

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation

[tex]f = 60; T = 121; L = 12[/tex]

Required

Find f, when T =81; L = 9

We have:

[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]

Express as equation

[tex]f = k\frac{\sqrt T}{L}[/tex]

Make k the subject

[tex]k = \frac{fL}{\sqrt T}[/tex]

When [tex]f = 60; T = 121; L = 12[/tex]

[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]

[tex]k = \frac{60 * 12}{11}[/tex]

[tex]k = \frac{720}{11}[/tex]

To solve for f, when T =81; L = 9

We have:

[tex]f = k\frac{\sqrt T}{L}[/tex]

[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]

[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]

[tex]f = \frac{720}{11} * 1[/tex]

[tex]f = \frac{720}{11}[/tex]

Answer:

v = 16, u = 15

Step-by-step explanation:

(a)

Substitute the given values into the formula

v = 10 + 2(3) = 10 + 6 = 16

(b)

Substitute the given values into the formula

50 = u + 5(7)

50 = u + 35 ( subtract 35 from both sides )

15 = u

The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.

Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.

If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.

Thus, the correct option is A. It has three valence electrons regarding true about the atom.

Learn more about the Lewis dot model, here:

https://brainly.com/question/20300458

#SPJ5

Answer:

#1

Shaded area:

#2

Shaded area:

219.75cm²

3.14cm²

Answer:

Solution given:

1.

[r]radius of each circle =32/8=4cm

[l]length of square=32cm

Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²

Step-by-step explanation:

radius for big circle [R]=2cm

radius for small circle [r]=1cm

area of shaded region=area of big semi circle -2 area of semi small circle

=½πR²-2*½πr²

=½*π*2²-π*1²

=2π-π

=π=3.14cm²

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

Answer:

gimme pints

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

Using

sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )

sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]

Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then

sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Answer:

12 centimetres

Step-by-step explanation:

I looked it up

Answer:

square root of 15 is the answer

Step-by-step explanation:

Answer:

x = 42.5

Step-by-step explanation:

all triangles inscribed into a circle like in the picture must have a 90 degree angle.

so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

cos theta=4[tex]\sqrt{2}[/tex]/7

so here adjacent=4[tex]\sqrt{2}[/tex] ,hypotenuse=7 ,opposite=?

h^2=p^2+b^2

7^2=(4[tex]\sqrt{2}[/tex] )^2+b^2

49-32=b^2

[tex]\sqrt{17}[/tex] =b

sin theta=opposite/hypotenuse

=[tex]\sqrt{17[/tex]/7

Answer:

Step-by-step explanation:

equation of a line

y=mx+b

y=0*x+b

y=0+b

y-0=b

since the line passes through the point (-7,4) it satisfies the equation

4-0=b

4=b

substituting the value of b in

y-0=b

y-0=4 is the required equation.

Answer:

[tex]BC=12.8,\\AC=15.1[/tex]

Step-by-step explanation:

In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the following equation:

[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]

Solving, we get:

[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]

Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.

[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]

We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.

Using the Pythagorean theorem to verify our answers:

[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]

Answer: 17%

Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.

Answer:

the distance is 9.1 inches (please give brainliest)

Step-by-step explanation:

we must use the pythagorean theorem:

5.7^2 + 7.1^2 = c^2

(c being the distance being the two corners)

c^2 = 82.9

c = sqrt(82.9) ≈ 9.1

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer:

1. 30 desserts

2.42,000

Step-by-step explanation:

[tex]A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4[/tex]

We will now divide C with A.

[tex]\frac{x^4+x^2y^2+y^4}{x^2-xy+y^2}[/tex]

Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.[tex]x^4 / x^2 = x^2\\4 - 2 = 2[/tex]

So:

[tex]\frac{1}{x^2+xy+y^2}[/tex]

Answer:

(0,3) is the x intercept

(3,0) is the y intercept

Step-by-step explanation:

When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept

Answer:

2 2/3 kilometers

Step-by-step explanation:

t = 3y

let t = 8

8 = 3y

Divide each side by 3

8/3 = 3y/3

8/3 = y

2 2/3 kilometers

Answer:

2 2/3 kilometers

Step-by-step explanation:

Answer:

0.2x+3

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Answer:

[tex](x - 1)(x + 1)(x - 2)[/tex]

Step-by-step explanation:

[tex]x^3 - 2x^2 - x + 2[/tex]

[tex]=> x^2(x - 2) -1(x - 2)[/tex]

[tex]=> (x - 2)(x^2 - 1)[/tex]

[tex]=> (x - 2)(x + 1)(x - 1)[/tex]

Answer:

0.3

Step-by-step explanation:

When we divide by 10, we want to imagine a decimal point going up a place.

Think of it like this:

03.0

When we divide by 10, the decimal goes up a digit:

0.30 or 0.3

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample