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ANEK [815]
3 years ago
15

Edoardo things of a number between one and 20 that has exactly 5 factors what number is he thinking of

Mathematics
2 answers:
kupik [55]3 years ago
6 0
He is thinking of number ten
Marina86 [1]3 years ago
3 0
The number is 16 because it is divisible by 1, 2, 4, 8, and 16
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Which expressions correctly represent the area of the triangle XYZ?
Evgen [1.6K]

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = \frac{1}{2}(\text{Base})(\text{Height})

                              = \frac{1}{2}(XZ)h

                              = \frac{1}{2}(18)h

By applying sine rule in the ΔYPZ,

sin(38°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(38°) = \frac{h}{14}

h = 14[sin(38°)]

Therefore, area of the given triangle = \frac{1}{2}(18)(14)sin(38)

By applying sine rule in ΔYPZ,

sin(58°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(58°) = \frac{h}{10}

h = 10sin(58°)

Area of ΔXYZ = \frac{1}{2}(18)(10)sin(58)

Therefore, Options (2) and Option (1) are the correct options.

6 0
3 years ago
A refrigerator can be bought on hire purchase by making a deposit of $500 and 18 monthly installments of $56 each. Calculate the
horsena [70]
500+ 18(56) equals total cost of refrigerator
$1508
7 0
3 years ago
If Judy completes a puzzle by herself, it takes her 3 hours. Working with Sal, it only takes them 2 hours.What is the missing va
aliina [53]

Answer:

It means the Judy's rate to complete the puzzle is \frac{1}{3}.

Step-by-step explanation:

If Judy completes a puzzle by herself, it takes her 3 hours.

Working with Sal, it only takes them 2 hours

We have been given the rates of time taken by Judy and Sal to complete a puzzle.

We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.

It is given that Judy completes a puzzle by herself, it takes her 3 hours.

so part of puzzle completed by Judy in one hour would be\frac{1}{3}

Therefore, the part of puzzle completed by Judy in one hour is \frac{1}{3}.

8 0
3 years ago
Read 2 more answers
Write the inequality shown by the graph with the boundary line
Bingel [31]

Answer:

>=

Step-by-step explanation:

since the shaded area is above the line y must be > or >= 1/4x-4, so the symbol must be > or >=. since the line isn't dashed, points on the line also fit the inequality meaning that the answer is >=

3 0
2 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.  

We know that height of sphere is equal to its radius. This means that r=h.

\text{Volume of sphere}=\frac{4}{3}\pi r^3  

\text{Volume of cylinder}=\pi r^2 h

Using r=h, we will get:

\text{Volume of cylinder}=\pi r^2\cdot r

\text{Volume of cylinder}=\pi r^3

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is \frac{4}{3} times volume of cylinder.

\pi r^3=21

\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21

\frac{4}{3}\pi r^3=4\cdot 7

\frac{4}{3}\pi r^3=28

Therefore, the volume of the sphere would be 28 cubic meters.

4 0
3 years ago
Read 2 more answers
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