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Ganezh [65]
3 years ago
9

Evaluate exactly in radians: arctan(1/sqrt(3)). Show solution w/ explanation.

Mathematics
1 answer:
balandron [24]3 years ago
5 0
Arc tan ( 1/√3 ) = arc tan ( √3/3 ) = 30°
180° = π ( in radians )
30° = 180°/6  = π/6 
 
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Find two numbers that you can multiply to get a product of 0.56. 0.6 0.7 0.8 0.9 6 7 8 9
Marina86 [1]

Answer:

0.7 and 0.8

Step-by-step explanation:

First you have to use your multiplication table, find out how much equals to 0.56 to make it easer just remove the zero and decimal point for example: 0.56 - 56 then divide it using all numbers. i divided it by 0.8 and is there that number yes and then i got 0.7 and that number is there too.

6 0
3 years ago
What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?
drek231 [11]
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

                            <span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)

Substituting the known terms,
                           Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
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Thus, the sum of the first four terms is 26.5625. </span></span>
5 0
3 years ago
An interior designer sketches a design for a rectangular rug. The dimensions of a sketch are 4 inches by 7.5 in. The dimensions
Black_prince [1.1K]

3,000 in.

(4 x 10) + (7.5 x 10) = 3000


The dimensions on the sketch are 10 times less than the actual rug.


40 in., 7.5 in.


The drawing lengths are ten times more, so you just multiply the dimensions by 10, and then multiply the product you find out to find the actual area of the rug.

4 0
3 years ago
Cends 36 feet in 2 seconds. Express the rate of the​ parachutist's change in height as a unit rate.
djverab [1.8K]

Answer: 18 ft per second

Step-by-step explanation: 36 divided by 2

5 0
2 years ago
The numbers of points scored in each basketball game are 49, 36, 61, 64, 39, 41, 43, and 39.
valentina_108 [34]

Answer:

In 25% of the games at least 55 points were scored.

Step-by-step explanation:

Percentage:

Number of desired outcomes multiplied by 100 and divided by the number of total outcomes.

In this question:

8 total games

In 2 at least 55 were scores.

100*2/8 = 100/4 = 25%

In 25% of the games at least 55 points were scored.

5 0
3 years ago
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