I need step by step solution..<br>the general solution of cosx-sin3x=cos2x is..??

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

2 years ago

when a probability is expressed as a fraction, what does the bottom number represents A. the number of possible out comes B. the

masya89 [10]

Answer:

A. the number of possible out comes

Step-by-step explanation:

Probability is the chance of an event/something to happen.

The formula is;

Probability = the number of ways of achieving success/Total number of outcomes

The numerator position will have a value to show the number of ways of achieving success while the denominator will show the number of outcomes

For example the number of possible outcomes when a coin is flipped is 2, a tail or a head. So the probability of getting a head is P(H)= 1/2 where 2 is the number of outcomes

7 0

3 years ago

Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ∠2 ?

ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0

2 years ago

Read 2 more answers

The sales tax for an item was $15.60 and it cost $390 before tax. Find the sales tax rate. Write your answer as a percentage.

labwork [276]

Answer:

15.60 times 100 divided by 390=4%

Step-by-step explanation:

7 0

3 years ago

Write an expression of: divide B by 6, then subtract 3 from the result do not simplify any part of the expression

IrinaVladis [17]

Answer:(4-6)-h

Step-by-step explanation:

7 0

2 years ago

I need step by step solution..the general solution of cosx-sin3x=cos2x is..??​

I need step by step solution..the general solution of cosx-sin3x=cos2x is..??