A cylindrical cup has a circular base of radius 7cm and height 10cm, calculate its curved surface area. take pie as 3.1​

Answers

Answer 1
Answer:

Answer:

264.89cm^2

Step-by-step explanation:

CSA of cylinder=πrl

= 3.1 × 7 ×√149

= 264.89cm^2


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Three consecutive integers have a sum of 81

Answers

(25+27+29=81) 
that should be right 

Jana uses 20 cards to play a memory game the cards are either animal cards or fruit cards. The ratio of animal cards to fruit cards is 2:3 How many if the 20 cards are animal cards? Of the fruit cards, 1/3 have bananas on them. How many cards have bananas on them. Show or explain your work.

Answers

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

B=(1)/(3)* 12\n\n=4

Hence, 4 cards have bananas on them.

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.



When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.



Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

Learn more about Transformations here:

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Calculate 12 x 15 by changing the numbers into friendlier numbers as we saw in the videos. Show how you work it out – write out your methods using the number keys on your computer here: Please write your response.

Answers

Answer:

The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180

Step-by-step explanation:

The parameter given are;

To 12 × 15 by changing the numbers into friendlier numbers

The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;

12 × 15 = (10 + 2) × (10 + 5)

Which gives;

(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5

From which we have;

10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180

Therefore;

12 × 15 = 180.

Final answer:

To calculate 12 x 15 using friendlier numbers, break down 15 into 10 and 5, multiply these by 12 to get 120 and 60 respectively, then add these together to get 180.

Explanation:

To calculate 12 x 15 using friendlier numbers, you can break either 12 or 15 down into numbers that are easier to multiply and then combine those results. Here, we'll break down 15 into 10 and 5, which are friendlier numbers.

  1. First, multiply 12 by 10: 12 x 10 = 120.
  2. Next, multiply 12 by 5: 12 x 5 = 60.
  3. Finally, add the two results together: 120 + 60 = 180.

So, 12 x 15 = 180 using friendlier numbers.

Learn more about Multiplication Using Friendlier Numbers here:

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Difference of numbers. The larger of two integers is 8 less than twice the smaller. When the smaller number is subtracted from the larger, the difference is 17. Find the two numbers.

Answers

let's call the numbers x (the bigger) and y (the smaller)

The larger of two integers is 8 less than twice the smaller. this means:

x=2z-8
When the smaller number is subtracted from the larger, the differenceis 17.

This means: x-z=17.


i'll insert

2z-8

instead of x, since it's equal to it: 
2z-8-z=17

2z-z is just z:
z-8=17

so

z=25.
and x must be 25+17=42

let's check:The larger of two integers is 8 less than twice the smaller.
twice the smaller is 50, and yes, 42 is 8 smaller than 50, it's correct!

so the two numbers are 25 and 42



4- What are the different waysto solve a quadratic? List examples of each

Answers

I know of two ways to solve quadratic equations. The first is through factoring. Let us take the example (x^2)+2x+1=0. We can factor this equation out and the factors would be (x+1)(x+1)=0. To solve for the roots, we equate each factor to 0, that is

x+1=0; x+1=0

In this case, the factors are the same so the root of the equation is

x=1.

The other way is to use the quadratic formula. The quadratic formula is given as [-b(+-)sqrt(b^2-4ac)]/2a where, using our sample equation above, a=1, b=2 and c=1. Substitute these to the formula, and you will get the same answer as the method above.