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Arisa [49]
3 years ago
6

Could someone please help me out? I've tried to solve this but I'm really having some trouble with it. Please try to explain it

in the easiest way that you can. (:
Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

To find the area of the shaded region you need find the area of the shaded region and subtract the area of the unshaded region.

Area of a rectangle = width x length

A = (x + 10) x (2x + 5)

Next apply FOIL or First Outer Inner Last

A = (x * 2x) (x * 5) (10 * 2x) (10 * 5)

A= 2x2 + 5x + 20x + 50

A= 2x2 +25x +50

 

Area of a square=  sides2

A= (x + 1)2

A= (x+1) (x+1)

Next apply FOIL or First Outer Inner Last

A = (x *x) (1*x) (1*x) (1*1)

A = x2 + 1x + 1x +1

A= x2 + 2x +1

 

A= 2x2 +25x +50 - 2x2 +25x +50

A= 50x + 100





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Given \tan A = \frac{7}{{24}}, find the cos B
Natali5045456 [20]

We are given

tan(A)=\frac{7}{24}

we know that

tan(A)=\frac{opposite}{adjacent}

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

hypotenuse=\sqrt{7^2+24^2}

hypotenuse=25

now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

cos(B)=\frac{adjacent}{hypotenuse}

In second triangle:

adjacent=7

hypotenuse =25

so, we get

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8 0
3 years ago
What is the approximate area of a regular heptagon with a side length of 4 inches and a distance from the center to a vertex of
jok3333 [9.3K]
Split it into 7 triangles. Half-base of each is 2 so the distance of center to the midpoint of the base is (Pythagoras) square root of (4.62 - 22) = 4.162 triangle is this times 2, and with 7 triangles multiply also by 7 to get an approximate area of 58 sq in. 
4 0
3 years ago
Segu
Lynna [10]

Answer:

The formula is 10 - 3n

Step-by-step explanation:

For an nth term in an arithmetic sequence

U( n ) = a + ( n - 1)d

Where n is the number of terms

a is the first term

d is the common difference

From the sequence above

a = 7

d = 4 - 7 = - 3

The formula for an nth term is

U(n) = 7 + (n - 1)-3

= 7 - 3n + 3

The final answer is

= 10 - 3n

Hope this helps you.

3 0
3 years ago
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pshichka [43]

Answer:

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