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2 years ago

What’s the area of this figure

Mathematics

2 answers:

kvasek [131]2 years ago

8 0

Answer:

743.25m^2

Step-by-step explanation:

Area of triangle = 1/2bh

= 1/2 x 30 x 26

= 390

Area of semi circle = 1/2 πr^2

= 1/ 2 x 3.14 x 15 x15

=353.25m^2

= 390 + 353.25

= 743.25m^2

Tasya [4]2 years ago

6 0

743.25

Step-by-step explanation:

To find the area of a triangle you use this formula (h= height b=base) A=hb/2 So 26*30/2=390

To find the area of a circle you use this formula (r= radius π=3.14) A=πr^2 So 3.14*15^2=706.5 Now cut it in half because it's a half circle 706.5/2=353.25

Add them 353.25+390= 743.25

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lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0

2 years ago

What is the product of 1/2 x -1/4 and 5x^2 - 2x + 6? Write in standard form.

geniusboy [140]

Answer: the product of the first one is (x-2)/(2)

Step-by-step explanation:

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3 years ago

Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per

emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

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For the first month, he needs to exercise at most five hours per week, then

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Nando must burn at least 2,000 calories per week, so

$350x+700y\ge 2,000$

You get the system of two inequalities:

$\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.$

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.