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3 years ago

Can anyone pls help me in dis pls

Mathematics

1 answer:

Brut [27]3 years ago

8 0

(a + b)² and c² + 4(1/2 ab) both represent the area of the outer square and are equal.

Step-by-step explanation:

Step 1: The below reasons explain why the expression is a true equation.

1. The left hand side expression (a + b)² finds the area of the outer square by squaring its side length.

[In the figure, side length of the outer square = a + b and area of a square = (side length)²]

2. The right hand side expression c² + 4(1/2 ab) finds the area of the outer square by adding the area of the inner square and the four triangles.

[In the figure the length of the inner square is c, the triangles have a base a and height b and area of a triangle = 1/2 base × height]

So the left hand side and right hand side of the expression is equal.

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If sin theta = cos theta then find the value of theta

Ksenya-84 [330]

Step-by-step explanation:

$\because \sin \theta = \cos \theta \\ \\ \therefore \: \sin \theta = \sin(90 \degree - \theta) \\ \\ \therefore \: \theta = 90 \degree - \theta \\ \\ \therefore \: \theta + \theta= 90 \degree \\ \\ \therefore \: 2\theta = 90 \degree \\ \\\therefore \: \theta = \frac{90 \degree }{2} \\ \\ \huge \orange{\boxed{\therefore \: \theta = 45 \degree}}\\ \\$

4 0

3 years ago

Solve the equation x³ - 5x²+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x²+2x+8.

exis [7]

Answer:

added in the picture

Step-by-step explanation:

added in the picture

3 0

1 year ago

A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr

alex41 [277]

Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7

7 0

2 years ago

Write the equation and identify the slope, y-intercept, an

Deffense [45]

Equation: y=-2x-4
slope: -2
y-int: -4
x-int: -2

3 0

2 years ago

Pythagorean Theorem

Furkat [3]

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

8 0

3 years ago