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svet-max [94.6K]
3 years ago
8

How many solutions are there to this system of equations?

Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

one

Step-by-step explanation:

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The length of a rectangle is 5t+6 and its height is t^6 , where t is time in seconds and the dimensions are in inches. Find the
Nataly_w [17]
\bf \textit{area of a rectangle}\\\\
A=l\cdot w\qquad 
\begin{cases}
l=length\\
w=width\\
-----\\
l=5t+6\\
w=t^6
\end{cases}\implies A(t)=(5t+6)t^6
\\\\\\
A(t)=5t^7+6t^6\implies \cfrac{dA}{dt}=35t^6+36t^5
7 0
3 years ago
What is the value of tan (-2pi/3)?
wolverine [178]
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):

tan0: 0
tanpi/6: 1/sqrt(3) 
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined

Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.

Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
4 0
4 years ago
Read 2 more answers
Which situation can be represented by 12x=26.2
liraira [26]
A is the answer I would say
6 0
2 years ago
Read 2 more answers
Please help
DedPeter [7]

Answer:

<h2>10</h2>

Step-by-step explanation:

Given the expression \sqrt{10} * \sqrt{10}. To find the product of this two values, the following steps must be followed.

According to one of the law of indices, \sqrt{a} = a^{\frac{1}{2} }

\sqrt{10} * \sqrt{10}\\= 10^{\frac{1}{2} }* 10^{\frac{1}{2} }\\= 10^{\frac{1}{2}+\frac{1}{2}}\\ = 10^{1} \\= 10

The product is 10

3 0
3 years ago
Read 2 more answers
Please help! !!!!!!50 POINTS!!!!!!! Question bellow!!
Sergeeva-Olga [200]
Area = πr²
Area = 3.14* 6²
A = 3.14 * 36
A = 113.04

Now find the area of the other one. 

<span>Area = πr²
A = 3.14 * 0.75</span>²
A = 1.76625

Now subtract them. 

113.04 - 1.76625 = 111.27375
Now, we have our answer: A = <span>111.27375

However, I don't see why they told you to have an exact answer for the area. You can't have an exact answer when you use 3.14 for pi.</span>
7 0
3 years ago
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