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abruzzese [7]
2 years ago
11

What is the exact value of x?

Mathematics
1 answer:
Nadya [2.5K]2 years ago
8 0
Exact value of x will be 8 x sin(60)

Exact value of sin 60 = √3/2

So √3/2 x 8= 8 √3/2

Can be simplified to 4 √3
You might be interested in
Find two consecutive whole numbers that the square root of 105 lies between
erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

4 0
3 years ago
1. Seekor burung helang berada 4.56 m di atas aras laut manakala seekor kuda laut berada 6.82 m
s2008m [1.1K]

(a) Calculate the vertical distance between the eagle and the seahorse.

Answer a: 11.38 meters is the vertical distance between them.

(b) Describe Adrian's position from the sea level.

Answer b: Adrian is 1.13m below the sea level.

Step-by-step explanation:

(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.

The vertical distance between the eagle and the seahorse is the difference between their positions:  

Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters

Answer a) 11.38 meters is the vertical distance between them.

(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:

Middle = 11.38m/2 = 5.69m

Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:

4.56m - 5.69m = -1.13m

Answer b: Adrian is 1.13m below the sea level.

<h2><em>Spymore</em></h2>

6 0
3 years ago
Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from populat
gogolik [260]

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

5 0
3 years ago
Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil. What would one pencil and one
vladimir2022 [97]

It is given in the question that

Anna buys 12 pens and 20 pencils for a total cost of $16. One pen costs $0.40 more than a pencil.

Let the cost of pencil is $ x .

Therefore cost of pen is

$(x+0.40)

According to the question

12(x+0.40)+20x =16

Distributing 12 and combining like terms, we will get

12x+4.8+20x=16\\32x = 11.2\\x = 0.35

Therefore cost of pencil is $0.35 and cost of pen is

0.35+0.40=0.75

3 0
3 years ago
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1600 seats. The student
satela [25.4K]
So firstly, find minus 1600 by 96 which = 1504 then divide 1504 by 1600 then times by 100 the percentage is = to 94%
4 0
3 years ago
Read 2 more answers
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