If sin theta equals to a divided by b what is the value of sec square theta minus tan square theta

Answer:

192

Step-by-step explanation:

calculator

Answer:

17253.52

Step-by-step explanation:

100-9.5=90.5

19064.67*0.905=17253.52

Answer:

The length and width that maximize the area are:

W = 2*√8

L = 2*√8

Step-by-step explanation:

We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.

Remember that the area of a rectangle of length L  and width W, is:

A = L*W

You can see the image below to see how i will define the length and the width:

L = 2*x'

W = 2*y'

Where we have the relation:

4 = √(x'^2 + y'^2)

16 = x'^2 + y'^2

Now we can isolate one of the variables, for example, x'

16 - y'^2 = x^'2

√(16 - y'^2) = x'

Then we can write:

W = 2*y'

L = 2*√(16 - y'^2)

Then the area equation is:

A = 2*y'*2*√(16 - y'^2)

A = 4*y'*√(16 - y'^2)

If A > 1, like in our case, maximizing A is the same as maximizing A^2

Then if que square both sides:

A^2 = (4*y'*√(16 - y'^2))^2

      = 16*(y'^2)*(16 - y'^2)

      = 16*(y'^2)*16 - 16*y'^4

      = 256*(y'^2) - 16*y'^4

Now we can define:

u = y'^2

then the equation that we want to maximize is:

f(u) = 256*u - 16*u^2

to find the maximum, we need to evaluate in the zero of the derivative:

f'(u) = 256 - 2*16*u = 0

      u = -256/(-2*16) = 8

Then we have:

u = y'^2 = 8

solving for y'

y' = √8

And we know that:

x' = √(16 - y'^2) = √(16 - (√8)^2) = √8

And the dimensions was:

W = 2*y' = 2*√8

L = 2*y' = 2*√8

These are the dimensions that maximize the area.

Answer:

u here then today the thats yjvfh dfnrugevc5hdb

Answer:

Hello there ,

The answer to this equation would be:

A=.50j+9

Step-by-step explanation:

this answer should be correct because he started with 9,

and he is selling each cup (j) for 0.50

Let me show you an example:

Ok lets say he sold 10 (j) cups:

you would replace the (j) with the 10

A=0.50(10)+6

A=5+6

A=11 and he would have $11

but that just an example so the real answer to your question is:

A=.50j+9

Hope this help. If correct please give brainliest.

Thank you,

Have a good day !!!!!

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

Let the Vertices of the  Δ  be  A , B ,  and  C

We will follow the Usual Notation for  Δ A B C ,  e.g., the side

opposite to the Vertex  A  will be denoted by  a , m ∠ A = A ,  etc.

In this notation, let us assume that,

a = 32 , b = 35 , & , C = 120 ° & we have to find  c

Using Cosine-Rule for  Δ A B C , we have,  

c²= a²+b² - 2 ab cos C = 32 ²+35² - 2 x 32 x 35 x cos 120° =

1024 + 1225 − 2240  cos ( 180 °− 60 °) = 2249 - 2240(-cos 60°)

2249+ 2240 (1/2)= 2249 + 1120=  3369

Answer: C= √3369 is about 58.04

Answer:  58.043087 (approximate)

===================================================

Explanation:

Refer to the diagram below. We can use the law of cosines to solve for c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 32^2 + 35^2 - 2*32*35*cos(120)

c^2 = 3369

c = sqrt(3369)

c = 58.043087 which is approximate

Round this value however you need to.

The length of JD is 19

The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.

Given

JD = JP-DP = 57-38 =19

To learn more about line refer to:

https://brainly.com/question/22263461

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Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

Answer:

21.3 cm^2

Step-by-step explanation:

The altitude from vertex A to side BC has length

h = 8 sin 26.4°

h = 3.56

area = bh/2

area = 12 cm * 3.56 cm / 2

area = 21.3 cm^2

Answer:

21.312

Area= (a x b x sin c)/2

or you can use heron's formula (look that one up)

area = (8* 12* sin(26.4))/2 = 21.312

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

The length of the shortest side of the triangle is 10 units.

Step-by-step explanation:

Let a be the shortest side of the isosceles triangle and b be the two congruent sides.

The congruent sides b are each one unit longer than the shortest side. Hence:

[tex]b=a+1[/tex]

The perimeter of the isosceles triangle is given by:

[tex]\displaystyle P_{\Delta}=b+b+a=2b+a[/tex]

This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be s. Hence:

[tex]s=a-2[/tex]

The perimeter of the square is:

[tex]\displaystyle P_{\text{square}}=4s=4(a-2)[/tex]

Since the two perimeters are equivalent:

[tex]2b+a=4(a-2)[/tex]

Substitute for b:

[tex]2(a+1)+a=4(a-2)[/tex]

Solve for a. Distribute:

[tex]2a+2+a=4a-8[/tex]

Simplify:

[tex]3a+2=4a-8[/tex]

Hence:

[tex]a=10[/tex]

The length of the shortest side of the triangle is 10 units.

Refer to the diagram below for examples of what I mean.

Answer:

2.96

Step-by-step explanation:

Just multiply the payout by its probability

0*.12+1*.2+2*.38+5*.2+10*.1=2.96

Answer:

its 3125

Step-by-step explanation:

you multiply it by 5 every time

Answer:

C

Step-by-step explanation:

Answer:

0.2 = n

Step-by-step explanation:

Since we want to express 3:15 as n:1, we can say that they are equal ratios, so

3:15 = n:1. Next, ratios can be written as fractions, so 3/15 = n/1 .

3/15 = n/1

Since anything divided by 1 equals itself, we can write this as

3/15 = n

0.2 = n

Answer:

B or the second one

Step-by-step explanation:

There are the same numbers just positive and negative.

Hope it helps c:

The solution and answer are well written in the Pic above.

Answer:

y = 25

Step-by-step explanation:

Given y = kx and k = 5 then

y = 5x ← equation of variation

When x = 5 , then

y = 5 × 5 = 25

Answer:

1/4

Step-by-step explanation:

Given an event A and event B, the probability of both happening can be determined by multiplying the two individual probabilities.

We can start by finding the individual probabilities

The probability of rolling an odd number is 3/6 = 1/2, as there are 3 odd numbers (1,3,5) on a die and 6 possibilities total. Furthermore, there is a equal chance of rolling each number as it is a fair die

The probability of flipping a head is 1/2, as there are two equal possibilities (heads and tails), with one of them being heads

To find the probability of both happening, we can multiply them to get (1/2) * (1/2) = 1/4

Answer:

H

Step-by-step explanation:

lets say the first big square has side s, so the area will be s²

then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9

the area of the smaller square is 1/9 smaller than the area of the big square

Answer:

110

Step-by-step explanation:

180-70=110

the full line is 180 so subtract the angle, 70.

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

Answer:

zero

Step-by-step explanation:

5x+10 = 5x-8

5x-5x = -8-10

0 = -18

so zero

Answer:

2/12

Step-by-step explanation:

The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth

Step-by-step explanation:

S.A = 465

4πr²= 465

r². = 36.9

r. = 6.08

volume of a sphere = 4/3πr³

= 4/3π * 6.08³

= 941.8 cm³

The radius of the sphere will be 6.08 units. Then the volume of the sphere will be 942.87 cubic units.

A circular solid object or its surface whose points are all equally spaced from the center.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The surface area of the sphere will be 465 square units.

The surface area of the sphere is given as,

SA = 4πr²

Then the radius of the sphere will be

4πr² = 465

   r² = 37

    r = 6.08 units

Then the volume of the sphere will be

V = 4/3 π (6.08)³

V = 4/3 π x 225.09

V = 300 π

V = 942.87 cubic units

Thus, the volume of the sphere will be 942.87 cubic units.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

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Answer:

n = 12$    x = 8$   y = 10$     where n, x, and y are number of tickets

12 n + 8 x + 10 y = 3920     and n + x + y = 420

12n + 8 (x + y) + 2 y = 3920

12 n + 8 (5 n) + 2 y = 3920        since 5 (x + y) = n

52 n + 2 y = 3920   or  y = 1960 - 26 n

Also, n + x + y = 420   or n + 5 n = 420   since x + y = 5 n

n = 70    so 70 of the $12 were sold

And since y = 1960 - 26 n     we have y = 140 tickets

Now 12 * 70 + 8 x + 140 * 10 = 3920

This gives x = 210 tickets

Check:   210 + 140 + 70 = 420 tickets

Also, 12 * 70 + 210 * 8 + 140 * 10 = 3920