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4 years ago

Solve tan(3x)=1 if -pi≤x≤pi.

Mathematics

2 answers:

levacccp [35]4 years ago

7 0

Tan(3x) = 1
3x = arctan(1) = pi/4, -3pi/4
x = (pi/4)/3 = pi/12 or (-3pi/4)/3 = -pi/4
Therefore, x = pi/12 or -pi/4

bogdanovich [222]4 years ago

7 0

This is a picture of the answer.

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The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

Korvikt [17]

Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

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The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

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3 years ago

4 square feet is equivalent to how many square yards?

tino4ka555 [31]

Answer:

0.44444444

Step-by-step explanation:

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3 years ago

Read 2 more answers

A cube with a volume of 75 cm³ is dilated by a factor of 5.

Brrunno [24]

ANSWER

The volume of the dilated cube is 9375cm³.

EXPLANATION

The volume of the original cube is 75 cm³.

The scale factor for the dilation is 5.

The scale factor for volume is 5³=125

We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

The volume of the dilated cube is

$Volume=125 \times 75$

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3 years ago

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Josie has a small fish tank shaped like a rectangular prism. Her fish tank measures 7 inches tall and 9 inches wide. If Josie's

irinina [24]

Answer:6

Step-by-step explanation:

If we know that the formula of a rectangular prism is length * width * height, and we know the height and width are 7 and 9, the length is the only thing that is left. The volume is 378, and so now we have:

length * 7 * 9 = 378. Dividing the 9 and 7, we get 378/(9*7). The length is 6.

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3 years ago

karen amad an hans have a total of 113 in their wallets? if hans has 4 times the amount of karen an karen has 7 dollars more tha

zvonat [6]

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

Solution:

Let "h" be the amount in Han's wallet

Let "k" be the amount in karen wallet

Let "a" be the amount in amad wallet

They have a total of 113 in their wallet

Therefore,

h + k +a = 113 ------- eqn 1

If hans has 4 times the amount of karen

Amount with Han = 4 times the amount with Karen

h = 4k ------- eqn 2

And karen has 7 dollars more than amad

k = 7 + a

a = k - 7 ---------- eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

4k + k + k - 7 = 113

6k - 7 = 113

6k = 113 + 7

6k = 120

k = 20

Substitute k = 20 in eqn 3

a = 20 - 7

a = 13

Substitute k = 20 in eqn 2

h = 4k = 4(20) = 80

h = 80

Summarizing the results:

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

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3 years ago