You are given a circle of radius 6 what is the segment area of an arc that is 60 degrees

Answers

Answer 1
Answer:

Answer:

= 18.857 cm²

Step-by-step explanation:

The area of a segment is given by;

θ/360 × 2πr². where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.

θ = 60, and r = 6

Therefore;

Area = 60/360 × 22/7 × 6²

        = 18.857 cm²

Answer 2
Answer:

Answer:

6π - 9 √3 square units

Step-by-step explanation:

The person above me is right, but this is all they are asking for in the problem. I hope it helps!


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If x – 9 is a factor of x2 – 5x – 36, what is the other factor?x – 4
x + 4
x – 6
x + 6

Answers

Answer:

x + 4

Step-by-step explanation:

(x - 9)(x + 4)

FOIL

x^2 + 4x - 9x - 36 = x^2 - 5x - 36

Answer:

B

Step-by-step explanation:

Triangle ABC has a perimeter 22cmAB= 8 cm
BC= 5cm

By calculation, deduce whether triangle ABC is a right-angled triangle

Answers

Answer:

ΔABC is not a right- angled triangle

Step-by-step explanation:

Given AB = 8, BC = 5

Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Using the converse of Pythagoras' identity

If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.

AC² = 9² = 81

AB² + BC² = 8² + 5² = 64 + 25 = 89

81 ≠ 89, hence ΔABC is not right- angled


What is the height of this triangular prism?

Answers

The height will be four, becaus 5 is the height of the base not the whole prism. You can tell be beacause when you find the area of the base and multiply it by the height you multiply it by 4 not 5.

A cargo truck weighs 8,750 pounds. The weight limit for a certain bridge is 5 tons. How many pounds of cargo can be added to the truck before it exceeds the weight limit for the bridge?

Answers

The weight that can be added more to the truck before it exceeds the weight limit for the bridge is 1250 pounds.

What is Addition?

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that,

Weight of the cargo truck = 8,750 pounds

Weight limit for the given bridge = 5 tons

We have the conversion factor,

1 ton = 2000 pounds

5 tons = 5 × 2000 = 10,000 pounds

Already there is a weight of 8,750 pounds for the truck.

We can add the weight such that the sum equals 10,000.

x + 8750 = 10,000

x = 10,000 - 8750

x = 1250 pounds

Hence the additional weight that can be added is 1250 pounds.

Learn more about Addition here :

brainly.com/question/29560851

#SPJ2

Answer:

Leaves from the vine

Falling so slow

Like fragile tiny shells

Drifting in the foam

Little soldier boy

Come marching home

Brave soldier boy

Comes marching home

Step-by-step explanation:

John has 5 apples. Cina has 5 times as john. how many apples does Cina have

Answers

5X5=25 apples is the answer
Cina has 25 apples
Because if you multiply 5x5 the out come is 25

Rationalize the denominator and simplify
12/√7+2

Answers

Answer:

The answer is 4√7 - 8

Step-by-step explanation:

12/√7+2

Rationalize the denominator

=12/7+2 * √7-2/√7-2

=12√7-24/7-4

=12√7-24/3

By taking common from numerator we get

=12(√7-2)/3

=4√7-8

Answer:

The answer is 4√7 - 8

Step-by-step explanation: