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3 years ago

Writing Trig Ratios.

Mathematics

1 answer:

notsponge [240]3 years ago

8 0

Answer:

The ratios are as follows for the given angle:

sineX=opposite/hypotenuse

cosineX=adjacent/hypotenuse

tangentX=opposite/adjacent

Insert the appropriate values for each:

7.) sinZ=24/40

8.) sinC=14/50

9.) cosZ=24/30

10.) tanC=27/36

11.) cosZ=12/15

12.) cosC=27/45

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Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9

givi [52]

Answer:

(x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

21y = 24x -14

Multiplying the second equation by 8 gives ...

24x +9y = 5

Then the system of equations in standard form is ...

24x -21y = 14
24x +9y = 5

Subtracting the first from the second, we get ...

(24x +9y) -(24x -21y) = (5) -(14)

30y = -9

y = -9/30 = -3/10

Substituting this into the second equation, we have ...

24x +9(-3/10) = 5

24x = 7.7 . . . . . . . add 27/10

x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

7 0

3 years ago

Please respond to the question below in your own words with proper explanations

ycow [4]

Answer:

$t(400)=673$ .

It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

Step-by-step explanation:

Given:

The function relating number of 9 inch tiles required and area to cover is:

$t(A)=\frac{144}{9.25^2}A$

Now, plug in 400 for $A$ to evaluate $t(400)$ .

$t(400)=\frac{144}{9.25^2}\times 400=\frac{144\times 400}{85.5625}=\frac{57600}{85.5625}=673.19\approx6225$

Therefore, Don required 673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.

4 0

3 years ago

The dairy king hold 64 cups of ice cream jerry uses a scoop that hold 1/4.how many scoops of ice cream can jerry get out each bu

Setler79 [48]

Answer:

16 cups

Step-by-step explanation:

64 × .25=16

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3 years ago

Problem

Nitella [24]

Answer:maybe 29

Step-by-step explanation:

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3 years ago

Leo is running in a 5-kilometer race along a straight path. If he is at the midpoint of the path, how many kilometers does he ha

hammer [34]

Answer:

2.5 km left

The midpoint is half of 5, which is 2.5, so he'll still have 2.5 km left to complete

7 0

3 years ago