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3 years ago

A circle P is circumscribed about a regular hexagon ABCDEF

Mathematics

1 answer:

Leni [432]3 years ago

5 0

Answer: True

Explanation:

Let point G be the center of both the hexagon and the circle.

The measure of arc AB is the same as central angle AGB, both of which are 360/6 = 60 degrees. This applies to the other arc measures as well. The full 360 degree circle is split up into 6 equal pieces, each piece being 60 degrees.

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Allowing 3 feet for the door ,how much baseboard wen john need to enclose a square room where each wall measures feet ?

Dimas [21]

11x11=121

You have to minus the 3 feet of the door = 118

Hope this helps.

3 0

3 years ago

A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?

tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0

3 years ago

Kelly needs to order lunch for the 6 people at a business meeting. Her menu choices are chicken salad for acost of $5 per person

Lady bird [3.3K]

Hello There!! (:
I'm Here to help!
If we say Kelly orders 1 chicken salad, then it means she ordered 5 egg salads. If she ordered x chicken salads, then she'll have to order the rest, which is (6−x) egg salads. For first equation, let's set y to be the meal's price. It consist of the price of all chicken salads ordered and the price of all egg salads ordered: y=5x+4(6−x) Again, x represents number of chicken salads ordered, and y represents the meal's price. A second equation would come to limit the price to the money Kelly has: y≤28
 Notice there are more constraints to add on the values (x cannot be negative, no such thing negative number of salads or fractional number of salads) so just keep that in mind. Now, since we know the price based on the number of chicken salads, we can say for what number of salads it matches the second restriction: 5x+4(6−x)≤285x+24−4x≤28x≤28−24x≤4

Does this help you?
I Sure hope so have a goodnight ! (:

6 0

3 years ago

What number is halfway between eight and nine

stellarik [79]

Answer:

8.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.

Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m + 40 m + c = 120 m

61 m + c = 120 m

c = 120 m - 61 m

c = 59 m

↓ ↓

A → → → → → → → → → → → C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

$a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0$

Angle B is calculated as follows;

$Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0$

Angle C is calculated as follows;

$Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0$

Therefore, the largest angle of the field is 149⁰.

8 0

3 years ago