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3 years ago

A circle has an area of 50 square meters what is the diameter

Mathematics

2 answers:

topjm [15]3 years ago

7 0

Area = πr²
50 = πr²
r = √50/π

so diameter = 2√50/π
which is = 7.98m to 3sf

Serjik [45]3 years ago

5 0

<span>d+7.98 meters

This the answer

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A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

3 years ago

2(4 - 2r) = -2(r + 5)

Alexus [3.1K]

2(4 - 2r) = -2(r + 5)

First, divide both sides by -2. / Your problem should look like: $-4 + 2r = r + 5$
Second, regroup your terms. / Your problem should look like: $2r - 4 = r + 5$
Third, add 4 to both sides. / Your problem should look like: $2r = r + 5 + 4$
Fourth, add r + 5 + 4 to get r + 9. / Your problem should look like: $2r = r + 9$
Fifth, subtract r from both sides. / Your problem should look like: $2r - r = 9$
Sixth, subtract 2r - r to get r. / Your problem should look like: $r = 9$

Answer: r = 9

5 0

3 years ago

Read 2 more answers

HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 50 points!

riadik2000 [5.3K]

1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

<h3>What is the Equation of a Line?</h3>

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

Learn more about the equation of a line on:

brainly.com/question/13763238

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4 0

2 years ago

629,999rounded to the nearest hundred thousand is?

Lerok [7]

629,999 =630,000. Nearest hundred

4 0

3 years ago

Read 2 more answers

a bowl of soup holds 7 ounces. If a spoonful holds 1/6 ounce, how many spoonfuls are in 3 bowls of soup? Tell the operation and

Arlecino [84]

There will be 126 spoonful's

hope this helped

5 0

3 years ago