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aniked [119]
3 years ago
13

\cos (x-10\deg )=(\sqrt(3))/(2)

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

40°

Step-by-step explanation:

\cos (x-10\degree )= \frac{ \sqrt{3} }{2}  \\  \\ \cos (x-10\degree )=\cos 30\degree  \\  \\ x-10\degree  = 30\degree \\  \\ x = 30\degree + 10\degree \\  \\ x = 40\degree

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A candy company produces individually wrapped candies. The quality control manager for the company believes that the weight of t
Rama09 [41]

Answer:

b) 700 mg to 740 mg

Step-by-step explanation:

The mean is the sum of all the samples divided by the quantity of the samples, so a mean is a number between the maximum and the minimum sample. In this case, 720 mg must be in the interval, so letter<em> a</em> and<em> e </em>are eliminated.

The mean also represents the proportion of the samples, because the samples intend to be close to the mean. So, if 720 mg is the maximum or the minimum sample weight, it means that there are many samples close to it, and the proportion of the distribution will be small. So, letter <em>c</em> and <em>d</em> can't be the answer.

So, the largest proportion of weights is given in letter b, the interval of weights must be 700 mg to 740 mg.

6 0
3 years ago
Jim ate two slices of pizza, which is 25% of the pizza. How many slices were in the whole pizza?
alexdok [17]

Answer:

6

Step-by-step explanation:

i am guessing because a pizza has 8slices just take away two and your left with 6

4 0
3 years ago
Q={1,3,6,9,10,15} then rewrite in set builder method
AfilCa [17]

Answer:

{x:x is a multiple of 3, x ≤ 15}

4 0
2 years ago
A bag contains 150 marbles. Some are red and the rest are black. There are 14 red marbles for every black marble. How many red m
REY [17]

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

i hope i cleared your doubt

8 0
3 years ago
Read 2 more answers
A tree broken at a height of 5 cm from the ground and it's top touches the ground at a distance of 12 m from base of the tree fi
Harrizon [31]

Answer:

The original height of tree is 18 m.

Step-by-step explanation:

Consider the correct question is "A tree is broken at the height of 5m from the ground and its top touches the ground at a distance of 12m from the Base of the tree. Find the original height of the tree."

A tree is broken at the height of 5m from the ground.

Let the height of the tree is (x+5) m.

After broken, it will form a right angle triangle with hypotenuse x, base 12m and perpendicular 5 m.

Using Pythagoras theorem,

hypotenuse^2=base^2+perpendicular^2

x^2=12^2+5^2

x^2=144+25

x^2=169

Taking square root on both sides.

x=13

Height of tree = x+5=13+5=18\text{ m}

Hence, the height of tree is 18 m.

6 0
4 years ago
Read 2 more answers
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