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kolbaska11 [484]
3 years ago
7

A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock

to the edge of the clock. How long is the minute hand?
Mathematics
1 answer:
HACTEHA [7]3 years ago
4 0

Answer:

Minute hand = 3.98 feet

Step-by-step explanation:

Circumference of a circle can be calculated by

C = 2 x pi x radius

The minute hand extends from center to the edge means that minute hand is the radius and that is required.

putting values in above equation

C = 25 and pi = 3.14

25 = 2 x 3.14 x radius

radius = 25 / 6.28

Radius = 3.98 feet

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The constraints of a problem are listed below. What are the vertices of the feasible region?<br>​
Mamont248 [21]

Answer:

Option 4 : (0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)

Step-by-step explanation:

<u>See the attached figure:</u>

To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.

As shown, the shaded area represents the solution of the constraints

So, the vertices of the feasible region are:

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sp2606 [1]
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3 years ago
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The perimeter of an isosceles triangle is 168mm.The base is 18mm more than each of the legs. what is the length of the longest s
Lina20 [59]

Answer:

The length of the longest side is 68mm

Step-by-step explanation:

The perimeter of a triangle is equals to the sum of all its sides

P=a+b+c

The triangle is isosceles, so two of its sides are equal, have the same length.

So: a=b, then

P=2a+c=168mm

Moreover, we know that the base is 18mm more than each of the legs, this means: c=18mm+a, where we obtain that a=c-18mm.

So, the system of equations is solved, lets use the above result in Perimeter`s equation.

168mm=2*(c-18mm)+C

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4 years ago
Please help and thank you
Vladimir79 [104]

Answer:

C

Step-by-step explanation:

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