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3 years ago

9

If set A has 3 elements, then number of elements in A×A×A are

1 answer:

mrs_skeptik [129]3 years ago

7 0

Answer:

27

Step-by-step explanation:

If set A has 3 elements then number of elements in A*A*A is 27

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A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at

neonofarm [45]

Answer:

₹165.79

Step-by-step explanation:

Given:-

No. of electric bulbs = 1000

cost of each electric bulb = ₹ 150

No. of bulbs broken = 50

Selling price of each bulb = x

Profit percentage = 5%

To Find:-

The selling price of each bulb.

Solution:-

Cost price of 1000 electric bulbs,

= 1000 × ₹150

= ₹1,50,000

5% profit on the total cost price,

= {5}/{100}× ₹150000

= ₹7500

Total selling price = ₹157500

No. of bulbs remaining = 950

Therefore, selling price of each bulb,

= {₹157500}/{950}

= ₹165.79

Therefore,

Selling price of each bulb = ₹165.79

5 0

1 year ago

Which statements about finding the area of the equilateral triangle are true? Check all that apply.

lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

$b=\frac{BC}{2}=\frac{8.7}{2}=4.35$

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

$OC^2=OD^2+DC^2$

$5^2=a^2+(4.35)^2$

$25=a^2+18.9225$

$a=\pm 2.46526$

$a\approx\pm 2.5$

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

$tan(30^{\circ})=\frac{a}{b}$

$\frac{1}{\sqrt{3}=\frac{a}{4.35}$

$a\approx\pm 2.5$

Therefore option 2 is correct.

The perimeter of an equality triangle is

$P=3a=3(8.7)=26.1$

Option 3 is incorrect.

$A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77$

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0

3 years ago

Read 2 more answers

Draw a tape diagram to represent 3+5-5=3

xxTIMURxx [149]

Answer:

i will have to draw it for you

Step-by-step explanation:

the reason why there is an X on the 5 squares is because you added then subtracted them

8 0

3 years ago

Solve: 2 In 3 = In(x-4)<br> x= 9<br> x = 10<br> x = 13<br> DONE

Airida [17]

Answer:

Step-by-step explanation:

______

Good evening ,

________________

Look at the photo below for the answer.

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:)

6 0

3 years ago

Read 2 more answers

A triangle has side lengths of 12 inches 14 inches, and 18 inches. What best represents the perimeter of the triangle in centime

kotykmax [81]

Answer:

111.76 cm

Step-by-step explanation:

The formula for the perimeter of a triangle is given as:

Side A + Side B + Side C

Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters

Hence:

1 inch ~ 2.54 centimeters

For 12 inches

1 inch = 2.54 cm

12 inches = x

Cross Multiply

x = 12× 2.54 cm

x = 30.48 cm

For 14 inches

1 inch = 2.54 cm

14 inches = x

Cross Multiply

x = 14× 2.54 cm

x = 35.56 cm

For 18 inches

1 inch = 2.54 cm

18 inches = x

Cross Multiply

x = 18× 2.54 cm

x = 45.72 cm

Hence, the perimeter of the triangle

= 30.48 cm + 35.56 cm + 45.72 cm

= 111.76 cm

4 0

2 years ago