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3 years ago

Answer ALL the questions, SHOW ALL YOUR WORK. Explain your answers when necessary. Answer ALL questions

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

d. Anthony rode 14 more miles per week than Malique.

Step-by-step explanation:

Anthony rode (141 mi)/(3 wk) = 47 mi/wk.

Malique rode (165 mi)/(5 wk) = 33 mi/wk.

Anthony rode more miles per week by ...

(47 -33) mi/wk = 14 mi/wk

Anthony rode 14 more miles per week than Malique.

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13.62 Round to the nearest whole number.

Ivenika [448]

Answer:

Step-by-step explanation:

when rounding you round up when the number is 5+ but if it's anything below 5 you go down instead, making this answer being 14

7 0

2 years ago

I really need help on this one

antiseptic1488 [7]

I think your answer is qt

4 0

3 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,

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

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

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

The volume code of a cube is given by s to the third power, where s is this side length of the cube. What is the difference of t

yKpoI14uk [10]

Answer:

61 m^3

Step-by-step explanation:

The difference in volume is (5 m)^3 - (4 m)^3, or (125 - 64) m^3, or

61 m^3

6 0

3 years ago

Read 2 more answers

Helpp me please! 20 ch

-Dominant- [34]

V=120, l=8, h=1.5

W = V/hl

W=120/8(1.5) = 10

5 0

3 years ago