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2 years ago

#18. estimate the perimeter and the area of the shaded figure to the nearest tenth

Mathematics

1 answer:

Gelneren [198K]2 years ago

6 0

Answer:

Area = 22.3 m^2

Perimeter 27.4 m^2

Step-by-step explanation:

Perimeter = __ m

Area __ m^2

The area of the triangle is about 4.2,

The area of the square is 4,

The area of the semicircle is 14.1,

14.1 + 4.2 + 4 = 22.3

Area = 22.3 m^2

9.4 + 6 + 4 + 4 + 4 = 27.4

Perimeter = 27.4 m^2

Therefore the area of the shape is about 22.3 m^2 and the perimeter is about 27.4 m^2.

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Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)

Step-by-step explanation:

We have the following function:

$y = 2x+1$ .

We are going to check if each ordered pair is a solution.

(3,7)

If when $x = 3, y = 7$ , it is a solution.

$y = 2x + 1 = 2(3) + 1 = 7$

This ordered pair is a solution.

(7,3)

If when $x = 7, y = 3$ , it is a solution.

$y = 2x + 1 = 2(7) + 1 = 15$

This ordered pair is not a solution.

(-1,14)

If when $x = -1, y = 14$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is not a solution.

(0,1)

If when $x = 0, y = 1$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is a solution.

(12,25)

If when $x = 12, y = 25$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is a solution.

(5,11)

If when $x = 5, y = 11$ , it is a solution.

$y = 2x + 1 = 2(5) + 1 = 11$

This ordered pair is a solution.

(0,12)

If when $x = 0, y = 12$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is not a solution.

(1,8)

If when $x = 1, y = 8$ , it is a solution.

$y = 2x + 1 = 2(1) + 1 = 3$

This ordered pair is not a solution.

(12,0)

If when $x = 12, y = 0$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is not a solution.

(-1,-1)

If when $x = -1, y = -1$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is a solution.

3 0

2 years ago

Four more than 3 times a number t written asfour

Orlov [11]

Four more than 3 times a number t

3t+4

If you are telling me to write the variable t as 4- then:

3(4)+4

12+4

16

Hope this helps!
~cupcake

5 0

3 years ago

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A box of cereal costs $3.49. How much do a dozen boxes of cereal cost?

antiseptic1488 [7]

Answer:

41.88

Step-by-step explanation:

3.49*12=41.88

7 0

2 years ago

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Explain what happens when you have an exponent to the power of another exponent.

jekas [21]

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56.

Step-by-step explanation:

7 0

2 years ago

Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the ro

Brrunno [24]

Answer-

$\boxed{\boxed{L=\dfrac{g}{4\pi^2 f^2}}}$

Solution-

The equation for time period of a simple pendulum is given by,

$T=2\pi \sqrt{\dfrac{L}{g}}$

Where,

T = Time period,

L = Length of the rod,

g = Acceleration due to gravity.

Frequency (f) of the pendulum is the reciprocal of its period, i.e

$f=\dfrac{1}{T}\ \Rightarrow T=\dfrac{1}{f}$

Putting the values,

$\Rightarrow \dfrac{1}{f}=2\pi \sqrt{\dfrac{L}{g}}$

$\Rightarrow (\dfrac{1}{f})^2=(2\pi \sqrt{\dfrac{L}{g}})^2$

$\Rightarrow \dfrac{1}{f^2}=4\pi^2 \dfrac{L}{g}$

$\Rightarrow L=\dfrac{g}{4\pi^2 f^2}$

8 0

3 years ago

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