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Mandarinka [93]
3 years ago
5

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics
1 answer:
gregori [183]3 years ago
4 0
The given expression is the expansion of cos (a-b)
so we can simply calculate it as <span>cos(112-45)= cos 67</span>
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The difference of m and 3 is greater than or equal to 10
mel-nik [20]

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

6 0
3 years ago
Sally is filling glass containers in the shape of cylinders with different colors of sand. Each cylinder has a radius of 4 inche
ryzh [129]
Part A.
We are given the total volume of the amount of sand she will want to fill
we are also given the shape and dimensions of the cylinders
Total volume of the sand = 1,000
Cylinder= radius 4 in, and height 8 in
the volume of a cylinder is V=πr^2h
We will solve for the volume of the cylinders
V=πr^2hV=π(4)^2*(10)
V = π (16) * (10)
V = π 160
The volume of the cylinders she wants to fill is 502.65 in^3
How many cylinders will she need
Well,
1000/502.65 <span>≈ 1.98
She will need two cylinder cans to fill with the 1,000 in^3 of sand

Part B.
To see if this is true, we find the half of the original cylinder's radius and height then solve for the volume and compare
</span>V=πr^2h
<span>The height and radius of the original cylinders were 4 r and 8h
we will find half of that which will be : 2 r and 4 h
Now solve for the volume </span>V=πr^2h
V=π(2)^2* (4)
V=π (4)*(4)
V = π 16
V ≈<span> 50.26  inches ^3
The volume of the original cylinders was </span>502.65 in^3 and the volume of the new cylinders is 50.26 in^3...  Clearly the volume of the new cylinders is NOT half of the original. Sally is not correct!
<span>
Hope this helps :)

</span>
7 0
3 years ago
What is 1230.932567 rounded to the nearest hundredths place?
liberstina [14]
The answer is 1230.93

The hundredth position is 0.0<span>0
</span>So, in 1230.932567, the hundredth position is 1230.93
4 0
4 years ago
Read 2 more answers
Part of $3000is invested at 12%, another at 13%, and the remainder at 14%. The total yearly income from the three investments is
Lunna [17]
Answer: 500 investigated @ 12%, 1,000 @ 13%, 1,500 @ 14%. 
Process: 
Suppose $x investigated at 12%, $y @ 13%, $(x+y) @ 14%. 
According to the question we can set up the equations: 
x+y+x+y=3000
0.12x+0.13y+0.14(x+y)=400
Solve it: x=500, y=1,000. 
So x+y=1,500. 
4 0
4 years ago
PLEASE HELP Me quickly PLEASE......What are 8 advantages and/or disadvantages of technological versus old-school methods for det
bixtya [17]

Answer: I don't know if this is correct

Step-by-step explanation:

With ECDIS as the primary source of navigation, the Navigating Officer can plan and summarise the passage much faster than on Paper Charts.

This is the setting which will sound an alarm if the vessel is within the limit specified.

Shallow Contour: This setting indicates the non-navigable area and marks the boundary outside of which the vessel may safely navigate.

7 0
3 years ago
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