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2 years ago

A dairy produces 256 pints of milk each day. How many gallons of milk is this? (1 gallon

Mathematics

1 answer:

hoa [83]2 years ago

6 0

Answer:

32 gallons

Step-by-step explanation:

c'mon this is simple, but thx for the points

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Which inequality is true?

DiKsa [7]

Answer:

C. 5 $\pi$ > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4 $\pi$ - 2 < 10

4 $\pi$ < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

B. $\pi$ + 9 < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

c. 5 $\pi$ > 15

$\pi$ > 3

Since $\pi$ > 3, then the inequality is true

D. 6 > 2 $\pi$

3 > $\pi$

Since $\pi$ < 3, then the inequality is false

Thus, the only inequality that is true is option C.

3 0

2 years ago

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

2 years ago

Read 2 more answers

Sam Long anticipates he will need approximately $227,300 in 14 years to cover his 3-year-old daughter's college bills for a 4-ye

SSSSS [86.1K]

Answer:

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Step-by-step explanation:

4 0

3 years ago

What is another way to write x 4/3

pentagon [3]

Answer:

x 1 1/3

Step-by-step explanation:

4/3 is equal to 1 1/3

5 0

3 years ago

Given the angles in the diagram, who is closer to the treasure chest and why