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3 years ago

7

A number of students are evenly spaced around the circle. The fourth student is directly opposite the tenth student. How many st

udents are there altogether?

1 answer:

natta225 [31]3 years ago

3 0

Answer:

12 students

Step-by-step explanation:

<u>Between the fourth and tenth there are:</u>

9 - 4 = 5 students

<u>The total number is:</u>

2 + 5*2 = 12 students

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Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4:5, and the smaller farm has a perimete

tatuchka [14]

Answer:

$337.5

Step-by-step explanation:

4:5=360:x 360/4=90 90+360=450 check 360/450=0.8 and 4/5=0.8

4:5=360:450

larger farm perimeter is 450 yards so dig a trench 0.75 per yard

so 450 * 0.75 = $337.5

Hope this helps! :)

3 0

2 years ago

Please help asap. it’s 2 am and idk how to do this

lesya692 [45]

This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.

So, if you choose any input $x$ , you have two alternative:

If $x \neq 3$ (i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen ( $y=-x$ )
If $x=3$ , the ouput will be -1.

So, let's forget about $x=3$ for a moment. For any input $x$ you choose, the answer is $-x$ . The graph of this function is the bisector of the second and fourth quadrant.

Now remember that there is our special case: you have to "carve a hole" in our line, at $x=3$ , and assing to this point the value -1, instead of what we would expect, i.e. -3.

So, the graph of this function is the line $y=-x$ , except for one point ( $x=3$ ), where we reassign the value to be -1.

5 0

3 years ago

Find the exact value by using a half angle identity.tan 75°

kramer

The trigonometric function is given as

$\tan 75^{\circ}$

Apply the half angle identity to find the value of tan 75 ,

$\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}$

Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

Again simplify the trigonometric function,

$\tan 75^{\circ}=2+1.732=3.732$

Hence the answer is 3.732.

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1 year ago

The Martinez family has 34 gallon of orange juice in the refrigerator. How many cups of orange juice are in the refrigerator?

kifflom [539]

Answer:

544 cups of orange juice

Step-by-step explanation:

1 gallon = 16 cups

34 x 16 = 544

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2 years ago

I'll give brainlist

kherson [118]

Answer:

the answer is 85 i thought this to someone and i still remember this

Step-by-step explanation:

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3 years ago