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vovikov84 [41]
4 years ago
9

Solve this equation; If sin x = 3/5 and x is acute find the value of tan2x, cos2x and sin2x

Mathematics
1 answer:
Masja [62]4 years ago
7 0

Answer:

Tan^2x=9/16

Cos^2x=16/25

Sin^2x=9/25

Step-by-step explanation:

Perpendicular=3

Base=4

Hypotenuse=5

Now, Just find out trigonometry ratios

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Which expression below me is equivalent to -3x+5(x+2)?
Bumek [7]

Answer:

C)

Step-by-step explanation:

First use distributive property: a(b +c) =a*b +a*c

-3x + 5(x +2) = -3x + 5*x +5*2

                   = -3x + 5x + 10          {Combine like terms}

                  = 2x + 10

(-3x) and 5x are like terms

4 0
3 years ago
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu
notka56 [123]

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.


\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi

5 0
3 years ago
Read 2 more answers
the equation shows the radius of the algae,f(d), in mm,after d days: f(d)=7(1.06)^d the radius of the algae was approximately 13
Andrei [34K]

Answer:

\begin{gathered} A)\text{ }Domain:\text{ \lparen0,11\rparen} \\ B)\text{ the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.} \\ C)\text{ rate of change= 0.64. This means that on average the algae grows 0.64mm per day.} \end{gathered}

Step-by-step explanation:

If the radius of the algae was approximately 13.29 mm, substitute f(d)=13.29 and solve for d to determine the domain:

\begin{gathered} 13.29=7\left(1.06\right)^d \\ \frac{13.29}{7}=1.06^d \\ d=\frac{\text{ log\lparen13.29/7\rparen}}{\text{ log\lparen1.06\rparen}} \\ d=11 \\ \text{ Then, the domain:} \\ (0,11) \end{gathered}

B. The y-intercept is obtained when d=0, hence;

\begin{gathered} d=0 \\ f(0)=7(1.06)^0 \\ f(0)=7 \end{gathered}

Therefore, the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.

C. Now, to determine the rate of change of a function, use the following equation:

\text{ rate of change=}\frac{change\text{ over y}}{change\text{ over x}}

Then, determine the value of f(4):

\begin{gathered} f(4)=7(1.06)^4 \\ f(4)=8.83 \end{gathered}

Hence, the rate of change on that interval of the function:

\begin{gathered} \text{ rate of change=}\frac{13.29-8.83}{11-4} \\ \text{ rate of change=0.64 } \end{gathered}

This means that on average the algae grows 0.64mm per day.

8 0
1 year ago
Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1). Question 2 options: A) (ƒ ∘ g)(–1) = 6 B) (ƒ ∘ g)(–1) = –4
Papessa [141]

Answer:

answer B

Step-by-step explanation:

hello,

f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4

so the winner is the answer B

hope this helps

5 0
3 years ago
Round 915 to the nearest ten
solong [7]
920 because 15 is closer to 20 than to 10
6 0
4 years ago
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