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3 years ago

11

Pls only answer if you know it

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

Interest =PTR/100

12000×3×15/100

540000/100

$5400..

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What is the median of the following data set?

Len [333]

Answer:

6

Step-by-step explanation:

First order them from least to greatest:

1, 3, 6, 7, 9

The median is 6 because it is the middle value.

Hope this helps! Brainliest would be really appreciated

5 0

2 years ago

Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

or

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

3 years ago

Read 2 more answers

13 liter is approximately how many gallons rounded to the nearest tenth

andrey2020 [161]

A liter is 0.264 gallons so 13 * 0.264 = 3.432 and round it up it is 3.4

5 0

3 years ago

Read 2 more answers

Find the side lengths the cube X

s344n2d4d5 [400]

Answer:

x = 6

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = $\frac{1}{2}$ bh = 0.5 × 9 × 4 = 18 cm² , then

V = 18 × 12 = 216 cm³

The volume of a cube is

V = s³ ( s is the side length ) , so

s³ = x³ = 216 ( take the cube root of both sides )

x = $\sqrt[3]{216}$ = 6

7 0

2 years ago

How to factor out 7x^6

Nataly_w [17]

Answer:

42

Step-by-step explanation:

so you do 7 times 6 and you should get 42

8 0

3 years ago