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PSYCHO15rus [73]
2 years ago
6

Tan x=3/5 nearest tenth

Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0

Answer:

x\approx31\°

Step-by-step explanation:

Given expression:

\tan x=\frac{3}{5}

To solve for x to nearest tenth.

Solution:

We have:

\tan x=\frac{3}{5}

In order to solve for x we will tan inverse tan on both sides in order to isolate x.

\tan^{-1}(\tan x)=\tan^{-1}\frac{3}{5}

x=\tan^{-1}\frac{3}{5}      [ Since \tan^{-1}(\tan \theta)=\theta]

x=30.96\°

We will round to nearest tenth. So,

x\approx31\°  (Answer)

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For each value of y, determine whether it is a solution to -2y+75-5.<br> Is it a solution?
ser-zykov [4K]

Answer:

• No

• Yes

• Yes

• No

Step-by-step explanation:

To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.

-2y +7≤ -5

Subtract 7 on both sides:

-2y≤ -5 -7

-2y≤ -12

Divide by -2 on both sides:

y≥ 6

This means that the solution can be 6 or greater than 6.

-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.

_______

Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.

Here's an example to check if -10 is a solution.

-2y +7≤ -5

When y= -10,

-2y +7

= -2(-10) +7

= 20 +7

= 27

Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.

3 0
2 years ago
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What is the value of the function when x = 3?<br><br> x −2 −1 1 3 4<br> y 4 3 6 5 8
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Look at (3,5) ... it tells us that x = 3 and y = 5

So y = 5
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