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MA_775_DIABLO [31]
3 years ago
10

Sherlock Holmes was sitting comfortably on an armchair on a snowy day. Dr. Watson was sitting beside him reading a book near the

fireplace. Suddenly Holmes said to Watson,” I am having a little brainteaser for you”. Then Holmes scribbles something in a piece of paper and give it to Watson. The note is: 217: 335 896: 543 345: ?
Mathematics
1 answer:
ladessa [460]3 years ago
8 0
The riddle given by Dr. Watson to Sherlock Holmes is:

217 is to 335
896 is to 543
345 is to ____

We need to find the missing number of the third pair of the riddle. This is a ratio and proportion problem.

217/ 335 = 896/ 543 = 345 / x

The value of x is 209. 
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A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

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X - 3y = 6
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Answer:

9x - 2y = 0

Step-by-step explanation:

elimination method

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What is |-8| + |6| ?
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|-8| + |6| should be 14

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3 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
2 years ago
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