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3 years ago

6. Find the sum or difference 1/3(9 - 6m) + 1/4 (12m-8)

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9 - 1/3 *6m + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

8090 [49]

Answer:

tanΘ = - $\frac{12}{5}$

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = $\frac{sinx}{cosx}$

given sinΘ = $\frac{12}{13}$ , then

cosΘ = ± $\sqrt{1-(12/13)^2}$

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - $\sqrt{1-\frac{144}{169} }$

= - $\sqrt{\frac{25}{169} }$ = - $\frac{5}{13}$

tanΘ = $\frac{\frac{12}{13} }{\frac{-5}{13} }$

= $\frac{12}{13}$ × - $\frac{13}{5}$ = - $\frac{12}{5}$

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2 years ago

This is a bonus question

Elena L [17]

Answer:

10,500

Step-by-step explanation:

See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)

Area of Rectangle = lwh

For the water;

50 x 30 x 28= 42000

As for the needed volume:

50 x 30 x 35 = 52500

To find how much more water, subtract the smaller volume from bigger volume.

10500 should be the final answer

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2 years ago

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For the circle x^2 + y^2 = 100, a) State the radius at 6,8

alexandr1967 [171]

Answer:

add multiply divide or subtract make sure to use Pemdas then and you should have your answer

Step-by-step explanation:

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2 years ago

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Find the slope of the line that would be parallel to the given original line 3x+y=10

Arturiano [62]

The answer is 3. If the lines are parallel then they would have the same slope. :)

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2 years ago

3. Jolene gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What i

mafiozo [28]

Answer:

Wage of Jolene is 414.29 dollars per week

Step-by-step explanation:

Amount received by Jolene for planting a tree is 17 cents

Given

Total amount of trees planted in a week = 2437

Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree

Wage of Jolene

$= 2437 * 0.17\\= 414.29$ Dollars

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2 years ago