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Novosadov [1.4K]
3 years ago
11

Can someone please help

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.

For the side adjacent to the 30 degree angle, we know that the side length is . Let's take a look at the given options and see which ones fit.

The options that fit are x\sqrt{3} and 7\sqrt{3}.

For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.

The options that fit are x and 7.

Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.

So, the options that fit are 2x and 14.

Hope this helps! :)

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Find the domain of the function
krok68 [10]

Answer:

Domain should be Df = {x>-1}

Step-by-step explanation:

Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 <em>(</em><em>u</em><em>n</em><em>d</em><em>e</em><em>f</em><em>i</em><em>n</em><em>e</em><em>d</em><em>)</em>. Find x.

4 0
3 years ago
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A square with side of k cm has perimeter of 36 cm. find the value of k.
Marrrta [24]

Answer: 9

Step-by-step explanation:

36/4 = 9


also if you want me to explain I can just ask…


but also I dunno if my answer is correct tho

5 0
2 years ago
Six different colored dice are rolled. Of interest is the number of dice that show a one. In words, define the random variable X
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Six dice (each of a different color) are rolled. Since the number of times the 6 dice were rolled isn't stated, take it to be 1.

Hence, 6 dice are rolled at once for this experiment.

Of interest is the number of dice that show a "one". In other words, the variable in question (X) is:

The number of dots that show on the upward face of the rolled dice.

The values that X may take on are:

1  2  3  4  5  6

On average, how many dice would you expect to show a one?

One die.

How is this gotten? By finding the probability that a one or one dot appears when the 6 dice are rolled at once. Since there are 6 dice in number, and each die has the same 6 faces containing dots, the probability of getting a one is 1/6. In this case, one out of 6 dice is expected to show one dot.

Find the probability that all six dice show a dot in just one toss.

Logically, this probability is going to be very small! It is almost impossible for all 6 dice to land on the same face in just a single toss. In other words, expect many decimal places in the probability figure.

1/6 divided by 6  = 0.167/6  = 0.028 approximated to three decimal places.

This would also represent the probability that 2 dots, 3 dots, or any other number of dots appears on all dice in one toss!

Is it more likely (in this experiment) that 3 or 4 dice will show a one (a single dot)?

The answer is yes! It is more likely that 3 or 4 dice (instead of all 6) will show a one or will show the same number of dots.

Kudos!

7 0
3 years ago
phenytoin comes from the pharmacy as an IV solution of 1000mg/250ml. a loading dose of 700 mg has been ordered. how many millime
Vedmedyk [2.9K]

We can write the following proportion between the milligram and milliliters:

1000\div 250 = 700\div x

Solving for x, we have

x=\dfrac{250\cdot 700}{1000}=175

Intuitively, the original 1000mg/250ml solution tells us that the number of milliliters is one fourth of the number of milligrams.

So, if we want 700mg, we have one fourth of this value for the milliliters:

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6 0
3 years ago
What is the y-intercept? y = -1/3x + 4
Arte-miy333 [17]
It would be 4. in the equation y=mx+b, b is the y-intercept.
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