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2 years ago

Which reason could be used for statement 3??

Mathematics

1 answer:

Basile [38]2 years ago

4 0

Option 3, definition of congruent segments is the answer I'm pretty sure

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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit

Musya8 [376]

Answer:

C. 647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

Area of the octagon

$\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}$

where:

n = number of sides
l = length of one side
a = apothem

Given:

n = 8
l = 13
a = 15.69

Substitute the given values into the formula and solve for A:

$\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}$

$\implies \textsf{Area}=\sf \dfrac{1631.76}{2}$

$\implies \textsf{Area}=\sf 815.88\:\:square \:units$

Area of the square

$\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units$

Area of the shaded region

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

3 0

2 years ago

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Find the perimeter of the square. Be sure to write the correct unit in your answer.

docker41 [41]

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

3 0

3 years ago

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Solve: I kept trying but I can’t do it Thank you a lot for you help

scoray [572]

Answer:

5.25

Step-by-step explanation:

15/10=1.5

9*1.5=13.5

13.5-3=10.5

10.5/2=5.25

3 0

3 years ago

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The graph below shows the height through which an elevator travels, y, in x seconds: A graph is shown with x axis title as Time

Blababa [14]

Answer:

C. 10

Step-by-step explanation:

We are given a graph representing the height of the elevator with respect to time.

Since, we know that,

X-axis represents the 'time' in seconds and y-axis represents the 'height of the elevator' in feet.

As, the coordinate points on the graph are given by,

(1,10), (2,20), (3,30) and (4,40).

So, the rate of change can be found out by solving, $\frac{20-10}{2-1}=10$ .

Hence, the rate of change of the relationship is 10.

5 0

4 years ago

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A plane flies with an average velocity of -98.5 m/s for 45.0s .What is the displacement?

Gnesinka [82]

Answer:

-4432.5 m

Step-by-step explanation:

Displacement is measured in meters, so will be the product of velocity in m/s and time in s.

(-98.5 m/s)×(45.0 s) = -4432.5 m

___

If you're concerned with significant figures, you can round this to -4430 m, which has the required 3 significant figures.

8 0

3 years ago

Read 2 more answers