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2 years ago

Sin thetha + cos thetha upon sec thetha + cosec thetha = sin thetha • cos thetha

Mathematics

1 answer:

Ludmilka [50]2 years ago

8 0

Answer:

steps below

Step-by-step explanation:

sin θ + cos θ / sec θ + cosec θ

= (sin θ + cos θ) / (1/cos θ+1/sin θ)

= (sin θ + cos θ) / ((sin θ + cos θ)/sin θ*cos θ)

= sin θ * cos θ

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The table below gives the dimensions of a painting and a scale drawing of the painting

natima [27]

What table , can you please add a table

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3 years ago

The Pythagorean Theorem ONLY works on which triangle?

ioda

Answer:

right angle ( right )

Step-by-step explanation:

Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not. In the triangle above, if a 2 < b 2 + c 2 the angle is acute.

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3 years ago

Read 2 more answers

The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece

snow_tiger [21]

Answer:

-1/2

Step-by-step explanation:

it has to be a negative number since

every other number is negative

its a fraction since the numbers are decreasing

96 divided by 48 is 2

so the number being multiplied or ration must be -1/2

7 0

2 years ago

The total cost of 4 goldfish and 3 guppies is $29. 3 goldfish and 5 guppoes cost $30. How much does each cost

Aneli [31]

let the goldfish be x and the guppies be y

4x + 3y = 29...equ(1)

3x + 5y = 30...equ(2)

multiplying equation 1 by 5 and equation 2 by 3

20x + 15y = 145...equ(1)

9x + 15y = 90...equ(2)

subtracting equation 2 from 1

11x = 55

∴x = 5

substituting the value of x into equation

4(5) + 3y = 29

20 + 3y = 29

3y = 9

∴y =3

5 0

3 years ago

Sin thetha + cos thetha upon sec thetha + cosec thetha = sin thetha • cos thetha​

Sin thetha + cos thetha upon sec thetha + cosec thetha = sin thetha • cos thetha