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strojnjashka [21]
3 years ago
10

Find the equivalent ratio with greater terms. (show work)

Mathematics
1 answer:
kipiarov [429]3 years ago
4 0
A 42 24÷16 =1.5 1.5×28 =42 b i think its 78.4 im not sure
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Prove the identity (sin6x)/(1+cos6x)=tan3x.
Vikentia [17]
Use double angle identity
sin(2x) = 2 sin x cos x \\  \\ cos(2x) = 2cos^2 x - 1

We can relate '6x' to '3x' in the same way since 6 is 2*3.
sin(6x) = 2 sin (3x) cos (3x) \\ \\ cos(6x) = 2cos^2 (3x) - 1

Now sub into left side of identity. Simplify until it equals right side.
\frac{2 sin(3x) cos(3x)}{1+(2cos^2 (3x) -1)} = \frac{2 sin(3x) cos(3x)}{2cos^2 (3x) } = \frac{sin(3x)}{cos(3x)} = tan (3x)
3 0
4 years ago
Michael has a $35 Starbucks gift card. He
Eddi Din [679]

Answer:

Each Caramel Macchiato is $5.60

Step-by-step explanation:

You could write the equation 5x+7=35

x stands for the price of each macchiato

the +7 is the $7 left-over after getting 5 macchiatos.

Then solve the equation.

1) subtract 7 on both sides

5x=28

2) divide by 5 on both sides

x=5.60

5 0
3 years ago
40 POINTS AVAILABLE!!!<br> PLEASE HELP
NemiM [27]

Step-by-step explanation:

\begin{array}{ccc}1&-&d\\2&-&c\\3&-&a\\4&-&b\\5&-&f\\6&-&e\end{array}

Value 1:

r = 5ft, h = 10ft. Substitute:

SA=2\pi(5)(10)+2\pi(5^2)=100\pi+50\pi=150\pi\ ft^2

Value 2:

r = 2in, h = 4in. Substitute:

V=\dfrac{1}{3}\pi(2^2)(4)=\dfrac{1}{3}\pi(4)(4)=\dfrac{16\pi}{3}\\\\\pi\approzx3.14\to V\approx\dfrac{(16)(3.14)}{3}\approx16.75\ in^3

Value 3:

r = 6m. Substitute:

V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi\ m^3\\\\\pi\approx3.14\to V\approx288(3.14)=904.32\ m^3

3 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST
Dennis_Churaev [7]
Find the area of the circle

A of circle = πr²

radius = diameter/2 = 48/2 = 24

Area = (3.14)(24)²
Area = 1808.64 in²

Hope this helps :)
6 0
4 years ago
Please help.
Mariulka [41]

Step-by-step explanation:

A rational number can be written as a ratio a/b, where a & b are integers & b \neq 0. Rational numbers are terminating or repeating. The radical sign means "the positive square root of."


Example:

√144 = "the square root of 144" but indicates the positive square root of 144, which is 12


Hope this helps!!! :)

5 0
4 years ago
Read 2 more answers
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