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3 years ago

Gregory drinks 6 liters of water over 2 days. And how many days would he consume another 12 liters?

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

4 days because he drinks 6 in two and 12 in 4 days.

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Solve for X. X/8 = 3 3/4 A. 30 B. 24 3/4 C.120 D.15/32

Feliz [49]

X / 8 = 3.75
X = 3.75 * 8
X = 30

6 0

3 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Which equation is equivalent to f(x) =-4(x+7)^2-6

Vladimir [108]

Answer:

-4x-34

Step-by-step explanation:=−4x+−28+−6

=(−4x)+(−28+−6)

=−4x+−34

3 0

3 years ago

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Nostrana [21]

8 is the answer I got when I did the equation

5 0

3 years ago

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Two line are ___ if and only if they lie in the same plane and do not intersect, and two lines are __ if and only if they lie in

Vilka [71]

the answer is C, I think because parallel lines never touch

6 0

3 years ago