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nadya68 [22]
3 years ago
10

A container has

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

there may be 16 but I am not sure

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Find the exact value of tan 15 degrees
pentagon [3]
<span>tan(15) = 
sin(15) / cos(15) = 
sin(45 - 30) / cos(45 - 30) = 
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)] 

Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom 
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)] 
[ √3/2 - 1/2 ] / [ √3/2 + 1/2] 
(√3 - 1) / (√3 + 1) 
(√3 - 1)^2 / (√3+1)(√3 - 1) 
(√3 - 1)^2 / (3 - 1) 
(3 - 2√3 +1) / 2 
2 - √3 

There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
4 0
3 years ago
Stronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxim
Komok [63]
This is one of those problems where you don't actually have to know anything. The only answer that is any combination of the two given numbers is the last one:
.. 8.4672*10¹³ miles

_____
That result is the product of 5.88*10¹² and 14.4.
4 0
3 years ago
PLEASE HELP!!!!!!!!!!There are 12 boys and 8 girls in a class.
netineya [11]

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

8 0
3 years ago
Which triangle must be a right triangle and why?
Lapatulllka [165]
Of your answers, the first one is correct. There are two right triangles in the graph, ABC and A'B'C'. However, only A'B'C' is listed.
8 0
3 years ago
Read 2 more answers
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at
aksik [14]
The formula for the area of a triangle is
A=\frac{1}{2}bh
\rightarrow\frac{dA}{dt}=\frac{1}{2}(b\frac{dh}{dt}+h\frac{db}{dt})

We are given:
\frac{dh}{dt}=2
\frac{dA}{dt}=4.5
h=9.5
A=92

Plug in:
4.5=\frac{1}{2}(b*2+9.5\frac{db}{dt})
We can find b with:
A=\frac{1}{2}bh\rightarrowb=\frac{2A}{h}=\frac{2*92}{9.5}=\frac{184}{9.5}
So 4.5=\frac{1}{2}(2*\frac{184}{9.5}+9.5\frac{db}{dt})
\rightarrow9=\frac{368}{9.5}+9.5\frac{db}{dt}
\rightarrow9-\frac{368}{9.5}=9.5\frac{db}{dt}
\rightarrow\frac{db}{dt}=\frac{9-\frac{368}{9.5}}{9.5}\approx-3.130

So the base is decreasing at a rate of 3.130 cm/minute.
6 0
3 years ago
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