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Olin [163]
2 years ago
12

Pleaseee answer this!!!!

Mathematics
1 answer:
MariettaO [177]2 years ago
3 0

Answer:

2162 cm²

Step-by-step explanation:

the area of shaded gray = the area of the big rectangle-the area of the small rectangle

= 42×63-22×22

=2646-484

=2162 cm²

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Sin theta = 24/25, cos theta > 0, Find cos(2theta)
Norma-Jean [14]
Well... you don't necessarily need to get the cosine value, in order to get the double angle

\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\\\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\ \quad \\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\
cos(2\theta )=1-2sin^2(\theta )\qquad \qquad  sin(\theta )=\cfrac{24}{25}
\\\\\\
cos(2\theta )=1-2\left( \cfrac{24}{25} \right)^2\implies cos(2\theta )=-0.8432
4 0
3 years ago
Read 2 more answers
1.      If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial. ​
creativ13 [48]

Answer:

{x}^{2}   + 6x + 5

Step-by-step explanation:

Required polynomial

{x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  \\  \\  =  {x}^{2} - ( - 6)x + 5 \\  \\  =  {x}^{2}   + 6x + 5

6 0
2 years ago
The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has deter
crimeas [40]

Answer:

(a)R(x)=-0.02x^2+610x

(b)R'(x)=-0.04x+610

(c)R'(5400)=$394

Step-by-step explanation:

Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:

p = −0.02x + 610 (0 ≤ x ≤ 20,000)

(a)Revenue function R.

Revenue = Price X Quantity Demanded

Therefore:

R(x)=xp

=x(-0.02x + 610)\\R(x)=-0.02x^2+610x

(b)Marginal revenue function R'(x)

If R(x)=-0.02x^2+610x

Then, the marginal revenue function

R'(x)=-0.04x+610

(c)We want to compute R'(5,400)

R'(5400)=-0.04(5400)+610\\R'(5400)=394

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.

5 0
3 years ago
Kevin has 2/5 of a pound of candy. 3/10 of the candy is chocolate. How many pounds of chocolate does he have?
ehidna [41]
3 is the answer for it
8 0
3 years ago
This one is pretty easy, i just forgot how to do it.
Solnce55 [7]
No,
one of the 3 sides need to be 90
3 0
2 years ago
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