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2 years ago

Evaluate: 30 - 21 ÷ 3 x 2

Mathematics

2 answers:

Delvig [45]2 years ago

8 0

Answer:

Step-by-step explanation:

30 - 21 ÷ 3 x 2 = 16

30 - 7 x 2

30 - 14

wariber [46]2 years ago

5 0

Answer:

Step-by-step explanation:

30-21=9

9/3=3

3x2=6

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A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 3

Vitek1552 [10]

The central angle of a hexagon is :
Ф = 360° : 6 = 60°
The hexagon will map onto itself 6 times.
It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.

5 0

2 years ago

Read 2 more answers

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

$\approx 15.3$

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2 years ago

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first

Bess [88]

Answer:

$5000 in the first city
$4000 in the second city

Step-by-step explanation:

Let x represent the pre-tax hotel charge in the first city in dollars. Then the hotel charge in the second city is x-1000 dollars, and the total tax is ...

... 7.5%·x +5%·(x -1000) = 575

... 12.5%·x = 625 . . . . simplify, add 50

... x = 5000 . . . . . . . . divide by 12.5% (=0.125)

The first-city charge was $5000; the second-city charge was $4000.

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2 years ago

Use complete sentences to explain the relationship between tan 5pi/4 and tan pi/4. In your answer, reference specific values on

Kisachek [45]

Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.

5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.

So you are talking about one two angles that are in the first and third quadrants.

Step One
Find the Tangent of pi/4 using the unit circle as a reference.

Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)

That is the point where the opposite / adjacent = 0.707/0.707 = 1

Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)

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2 years ago

Adam reduces a 14 inch long document on the photocopier. The copy is 0.6 times as long. The type on the reduced document is too

Oksanka [162]

14 inch document....it is reduced to 0.6 times as long...
14 * 0.6 = 8.4 inches long
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2 years ago