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IgorLugansk [536]
3 years ago
13

Select the correct answer.

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x\sqrt{3}. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x\sqrt{3}.

x = 3

3 *  \sqrt{3} = 3 \sqrt{3}

y =  3\sqrt{3} (option D)

Hope this helps!! :)

Tpy6a [65]3 years ago
3 0

Answer:

your answer is D.

Step-by-step explanation:

Using sine will give you 3*square root of 3

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Sinah bought some packs of gum. There were 8 sticks of gum in each pack. She gave 12 sticks of gum to manuela. This left sinah w
zhuklara [117]

Answer:

8g = 12 + 28

g = 5 packs

Step-by-step explanation:

Share of the sticks of gum

Manuela = 12 sticks

Sinah = 28 sticks

There are 8 sticks in each pack

g = number of packs of gum that sinah bought?

g × 8 sticks = 12 sticks + 28 sticks

8g = 40

Divide both sides by 8

g = 40 / 8

g = 5 packs

3 0
2 years ago
If y represents a child's age, which inequality shows that you must be older than 4 to attend an elementary school?
Amiraneli [1.4K]

Step-by-step explanation:

y> 4

y is greater than 4.

hope this helps

8 0
3 years ago
A florist determines the probabilities for the number of flower arrangements they deliver each day.
anastassius [24]

Answer:

a) mean = 20.75

b) variance = 1.6274

c) standard deviation = 1.2757

d) 145 arrangements per week.

Step-by-step explanation:

We have the following distribution:

x       19      20    21     22      23

P(x) 0.21  0.22  0.30  0.15    0.12

Mean: Is the average of the data. To find the mean, you need to take every x and multiply it by its corresponding P(x) and sum these values. The result will be the mean.

μ =∑ (x·P(x))

Therefore, in this case we have:

μ = 19(0.21) + 20(0.22) + 21(0.30) + 22(0.15) + 23 (0.12) = 20.75

Thus, the mean is 20.75

Variance: To calculate the variance you need to subtract the mean to every value x, then square the result and multiply it by the probability. Finally, you sum up these results and you get the variance.

In this case we will have

19 - 20.75 = -1.75 ⇒ (-1.75)²(0.21) =<u> 0.6431</u>

20 - 20.75 = -.75 ⇒(0.75)²(0.22) = <u>0.1237</u>

21 - 20.75 = 0.25 ⇒(0.25)²(0.30) = <u>0.0187</u>

22 - 20.75 = 1.25 ⇒(1.25)²(0.15) = <u>0.2344</u>

23 - 20.75 = 2.25 ⇒ (2.25)²(0.12) = <u>0.6075</u>

Now we need to sum up these results:

0.6431 + 0.1237 + 0.0187 + 0.2344 + 0.6075 = 1.6274

The variance is 1.6274.

Standard Deviation: It is the root of the variance.

Therefore, the standard deviation will be √1.6274 = 1.2757

b) How many arrangements should the florist expect to deliver each week, rounded to the nearest whole number?

To answer this question we'll work with the mean, he expects to deliver 20.75 arrangements per day, therefore, per week he'd deliver:

20.75 (7) = 145.25 = 145 arrangements.

7 0
3 years ago
(b) Expand (4 + x)½ up to the forth term using the binomial expansion​
Serga [27]

Answer:

2±1\2x

Step-by-step explanation:

[4±x]1\2

we will start by opening the brackets

[4]1\2=2

[x]1\2=1\2x

2±1\2x

hope am right

4 0
3 years ago
10+ points if you answer correctly
crimeas [40]

Answer:

\sqrt[9]{3}

Step-by-step explanation:

The screenshot is proof that it’s the correct answer, because I used a calculator.

8 0
3 years ago
Read 2 more answers
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