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lisov135 [29]
3 years ago
11

A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra

wing has a scale of 1 inch 4 feet. What is the actual length of a side of the octagon?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft

Therefore, the actual length of a side of the octagon is 5 feet.

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Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
galina1969 [7]

Answer:

2 sin^2 \theta

Step-by-step explanation:

According to the scenario, the following information is given:

= \frac{sec^2 \theta - 1 }{sec^2 \theta}

= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)

= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta

Therefore for the given equation, the answer is 2 sin^2 \theta

5 0
3 years ago
Let f(x)=x2−3x−4 . What is the average rate of change from x = 7 to x = 10? Question 6 options: 24 14 66 42
Fed [463]
Just find the slope between the points

basically find (f(10)-f(7))/(10-7)

f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66

slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
8 0
3 years ago
Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
Explain how to answer the question attached
LenaWriter [7]

Answer:

The players ran 150 meters

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:

90² + 120² = c²

8100 + 14400 = c²

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√c² =  √22500

c = 150

3 0
3 years ago
Read 2 more answers
What is 20/45 simplified
Andre45 [30]
4/9, is your answer.
Both numerator and denominator can go into 5.
20 divided by 5 is 4, 45 divide by 5 is 9.
6 0
3 years ago
Read 2 more answers
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