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KonstantinChe [14]
3 years ago
11

Find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

tan (/theta) = \frac{Opp}{Adj}

Plug in the values

tan 68 = \frac{24}{x}

Multiply both sides by x

x*tan 68 = 24

Divide both sides by tan 68

x = \frac{24}{tan 68}

x = 9.69662942

x = 9.7 (nearest tenth)

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Help me solve this equation 3x-7=4x
Sauron [17]
Hey!

Let's write it, 3x-7=4x
Add 7 to both sides,
3x-7+7=4x+7
3x=4x+7
Subtract 4x from both sides.
3x-4x=4x+7-4x
-x=7
Since we don't want a negative variable, we have to divide both sides by -1.
\frac{-x}{-1}=\frac{7}{-1}
Our answer would be,
x=-7

Thanks!
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Step-by-step explanation:

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2 years ago
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Determine if (-2,6) and (4,12) are solutions to the system of equations:
kykrilka [37]

Answer:

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

2(6) = (-2)^2+8=4+8=12

The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug (4,12) into y=x+8

(12) = (4)+8 = 12

Step 4: Plug (4,12) into 2y=x^2 + 8

2(12) = (4)^2+8=16+8=24

The solution verifies both equations. Therefore, (4,12) is another solution to this system.

3 0
2 years ago
Julie has 4/3 cups of flour.She needs 2/5 cups of flour.How will she get the amount.
valentina_108 [34]

Answer:

Step-by-step explanation:

You need to set up a ratio for the original recipe and then use that ratio for the new one.

 

If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4

 

The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:

 

3/4 = 9/?

 

In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.

8 0
2 years ago
Bonnie operates an orange juice stand. On Monday she used 1/5 of a bag of oranges. On Tuesday she used 3/8 as many oranges as on
Tanya [424]

Answer:

3/40

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Multiply 1/5 * 3/8

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