All categories

2 years ago

Please can you help me with this problem. Thanks.

Mathematics

1 answer:

avanturin [10]2 years ago

6 0

Hey! since it’s a 5 sided shape it’s area will be 540° so you add up 108+100+90+120=418
the final angle is 122*
then since angles on a straight line is 180° you minus 122 from 180 and x= 58°

You might be interested in

Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o

Brrunno [24]

Answer:

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

$Sin\ C = \frac{h}{a}$

Make h the subject:

$h = aSin\ C$

Also, in BOC (Using Pythagoras)

$a^2 = h^2 + x^2$

Make $x^2$ the subject

$x^2 = a^2 - h^2$

Substitute $aSin\ C$ for h

$x^2 = a^2 - h^2$ becomes

$x^2 = a^2 - (aSin\ C)^2$

$x^2 = a^2 - a^2Sin^2\ C$

Factorize

$x^2 = a^2 (1 - Sin^2\ C)$

In trigonometry:

$Cos^2C = 1-Sin^2C$

So, we have that:

$x^2 = a^2 Cos^2\ C$

Take square roots of both sides

$x= aCos\ C$

In triangle BOA, applying Pythagoras theorem, we have that:

$AB^2 = h^2 + (b-x)^2$

Open bracket

$AB^2 = h^2 + b^2-2bx+x^2$

Substitute $x= aCos\ C$ and $h = aSin\ C$ in $AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = h^2 + b^2-2bx+x^2$

$AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2$

Open Bracket

$AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C$

Reorder

$AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C$

Factorize:

$AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C$

In trigonometry:

$Sin^2C + Cos^2 = 1$

So, we have that:

$AB^2 = a^2 * 1 + b^2-2abCos\ C$

$AB^2 = a^2 + b^2-2abCos\ C$

Take square roots of both sides

$AB = \sqrt{a^2 + b^2-2abCos\ C}$

6 0

2 years ago

Which statement represents the given algebraic expression?

alexandr1967 [171]

Answer:

D would be your answer

Step-by-step explanation:

6 0

2 years ago

What is the result when 6x^3+25x^2+20x+46x

goldenfox [79]

Answer:

The answer to your question is 2x² - 29x + 26

Step-by-step explanation:

dividend = 6x³ - 25x² + 20x + 4

divisor = 3x + 2

2x² - 29x + 26

3x + 2 6x³ - 25x² + 20x + 4

-6x³ - 4x²

0 - 29x² + 20x

+ 29x² + 58x

0 78x + 4

-78x - 52

0 - 48

quotient = 2x² - 29x + 26

remainder = -48

Result = 2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4

6 0

2 years ago

To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that

Katarina [22]

3.25 if you round it it’ll be 3.3

4 0

1 year ago

What is the value of x?

dezoksy [38]

X is equal to 1

hope it helps

6 0

2 years ago