The two legs (shorter sides ) if a right angle triangle have lengths of 15 cm and 8 cm respectively. Determine the length of the largest third side (to the nearest cm).

Answers

Answer 1

Answer: By Pythagoras theorem,
h^2=a^2+o^2
Longest side is the same as the hypotenuse (h)
h^2=8^2+15^2
h^2=64+225
h^2=289
Square root both sides
h=17 cm

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How many times does 4 go into 48?

Answers

Answer:

Number of times 4 is gone through to get 48 = 12

Step-by-step explanation:

The number which is formed after the product is given to be 48

Now, we need to find how many times 4 is gone through to get the final result as 48

4 × 1 = 4

4 × 2 = 8

4 × 3 = 12

4 × 4 = 16

4 × 5 = 20

4 × 6 = 24

4 × 7 = 28

4 × 8 = 32

4 × 9 = 36

4 × 10 = 40

4 × 11 = 44

4 × 12 = 48

Hence, Number of times 4 is gone through to get 48 = 12

12, because 48 divided by 4 is 12

Tom wants to tile the floor in his kitchen which has an area of 320 ft.² in the store the smallest tile he likes has an area of 1.1 square feetand the largest tile he likes has an area of 1.815 ft.² about how many tiles can be fitted in the given area

Answers

The 291 smallest tile or 177 largest tile.

What is Area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However

Given:

Area of floor = 320 feet²

Area of smallest tile= 1.1 square feet

Area of smallest tile = 1.815 square feet.

Number of smallest tile = 320/1.1 ≈ 291 tiles

Number of large tiles = 320/1.815 ≈ 177 tiles

Hence, the 291 smallest tile or 177 largest tile.

Learn more about area here:

brainly.com/question/27683633

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To use the most tiles, Tom should use the smallest tiles possible, or 1.1 square feet. Because 320/1.1 is about 290, approximately 290 such tiles can be fit in the area.

Compare using <, >, or =.
5 3/4___6 1/4

Answers

the answer would < because 6 1/4 is larger than 5 3/4. Hope that helps!

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m. Find the exact area of the larger circle
Find the exact area of the smaller circle.
Write an expression to find the exact area of the sidewalk (shaded portion).
Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answer:
Find the exact area of the larger circle. Show your work. (1 point)
A= N x 11 2 A = n?

Find the exact area of the smaller circle. Show your work. (1 point)
A= n 9 2 A=n?

Write an expression to find the exact area of the sidewalk (shaded portion). Show your work. (2 points) 11 2 – 9 2 x n

Find the approximate area of the sidewalk. Use 3.14 to approximate π. Show your work. (1 point) 11 2 x 3.14 – 9 2 x 3.14=

Answers

Well first lets find area of the entire circle itself

We have the radius be 11.

Pie x radius^2 = A

11 squared is 121.

So we have:

Pie x 121 = area

Pie is 3.14.

The area of the entire circle is exactly 379.94 m.

Now lets put this off to side and solve the inner circle.

Same thing:

Radius of the inner circle is 9.

Pie x radius^2 = Area

9 squared is 81.

So now:
Pie x 81 = area

Pie is 3.14

3.14 x 81 = exactly 254.34.

The inner pen is exactly 254.34 m

So now knowing :

The whole circle is 379.94
And the inner circle is 254.34

We can subtract the inner circles area from the whole circle and get the area of the outer circle/sidewalk.

379.94 - 254.34 = 125.6

The outer circle/sidewalk is 125.6 m

With this info we can answer your questions.

The exact area of the larger circle is 379.94 m

The exact area of the inner circle is 254.34 m

Expression:
If
Large circle = L
Small circle = S
Sidewalk = W

An expression would be L - S = W

The sidewalk area is exactly 125.6 m

To show your work read what i did above and just show how i did Pie x radius = area.

Hope this helps!
Brainliest is always appreciated if you feel its deserved.

Three consecutive integers have a sum of 42. find the integers.

Answers

The answer is 13,14,15.

Find a23 in the sequence -18,-34,-50,-66

Answers

there is not one there all 16

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