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3 years ago

The circumference of a circle is 11/pi. What is the area, in square inches, of the circle? Express your answer in terms of /pi.

1 answer:

6 0

So since 11/pi doesn't means 11 divided by pi but it means 11 pi

circumference=2pir
if circumerence=11pi
2pir=11pi
solve for r (radius)
divide both sides by pi
2r=11
divide by 2
r=5.5

area=pir^2
area=pi5.5^2
area=pi30.25

answer is area=30.25pi in^2

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For each fraction, write the equivalent percent. a. 6/100 b. 57/100 c. 357/100 d. 100/100

ddd [48]

Answer:

(A) 6%

(B) 57%

(D) 100%

Step-by-step explanation:

(A) 6 / 100 = 6%

(B) 57 / 100 = 57%

(D) 100 / 100 = 100%

5 0

3 years ago

Read 2 more answers

Verify the identity. sin (x+pi/2)=cos x

hram777 [196]

Given data
sin (x+pi/2)=cos x
now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

sin (x+pi/2)=cos x

4 0

3 years ago

A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Romashka-Z-Leto [24]

Answer:

The probability that it is grape juice, given that the juice is not sugar free is 0.769 or 76.9%

Step-by-step explanation:

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}$

A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

$P(\text{Grape }\cap \text{ Not sugar free})=\dfrac{10}{27}$

$P(\text{Not sugar free})=\dfrac{10+3}{27}=\dfrac{13}{27}$

Putting the values,

$P(\text{Grape }|\text{ Not sugar free})=\dfrac{P(\text{Grape }\cap \text{ Not sugar free})}{P(\text{Not sugar free})}=\dfrac{\frac{10}{27}}{\frac{13}{27}}=\dfrac{10}{13}=0.769$

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3 years ago

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yawa3891 [41]

Answer:

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2 years ago

Nadusha1986 [10]

All isosceles trapezoids have congruent base angles.

Option A

Explanation:

An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Properties of isosceles trapezoid:

Opposite sides of an isosceles trapezoid are the same length (congruent).
The angles on either side of the bases are the same size/measure (congruent).
The bases (both top and bottom) of an isosceles trapezoid are parallel.

Note: Refer the attached file for the image of an isosceles trapezoid.

All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.

If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.

In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.

6 0

2 years ago