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Mathematics

1 answer:

Bogdan [553]3 years ago

4 0

Answer: B

Step-by-step explanation:

9.62112750.....

area = πr²

3.5 ÷ 2 = 1.75

1.75² × π = 9.6211250....

= 9.6 ft²

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Eight more than x is at least fourteen. what is the solution set for x?

Otrada [13]

X + 8 >= 14
x >= 14 -8
x> = 6

3 0

3 years ago

REALLY NEED HELP AND WILL MARK YOU AS BRAINLIEST!

katen-ka-za [31]

First, let’s break this down. What exactly are we looking at here? Well, Daisy measured the heights of 20 plants (in cm). The table, under Frequency, shows the # of plants that fit within a certain height range, shown on the left under Height of Plants (h).

Now, it says to take the midpoints of each group to figure out an estimate of the mean height. To find the mean, you add up all the totals and divide it by the # of items. So, let’s go through each row.

Midpoint of 0-10 is 5, and Frequency is 1, so that gives us 5.
Midpoint of 10-20 is 15, Frequency is 4, and 15x4=60.
We continue this with the other rows by finding the midpoint & multiplying the midpoint by the frequency (if the frequency is greater than 1). This gives us the numbers:

175 (25x7)
70 (35x2)
135 (45x3)
165 (55x3)

Now, we add these all together.
5+60+175+70+135+165=610

Finally, we divide 610 by the # of items (remember, there are 20 plants so we divide by 20) and 610/20 is 30.5.

FINAL ANSWER:

Thus, if I calculated correctly (which I hope I did lol), our estimate for the mean height of a plant is 30.5 cm!

4 0

3 years ago

A square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle. find the square's s

DaniilM [7]

The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.

<h3>What is a right-angle triangle?</h3>

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

First we have to find the line that goes through the points (0, 6) and (8, 0)

(y - 0) = (0-6)/(8-0)(x-8)

y = (-6/8)[x - 8]

Plug y = x

x = (-6/8)[x - 8]

After solving:

x = 24/7 or 3.428

y = 24/7 or 3.428

Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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