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Brums [2.3K]
3 years ago
6

Please help me, I don’t know how to solve for x on this one

Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

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How would you correctly write the equation 4(10+5)=6(12-2) using the distributive property?
slamgirl [31]

the correct answer is 45=70

3 0
3 years ago
James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve
otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, <em>x</em>₁ = 0 and <em>x</em>₂ = 2 deliveries the money earned are <em>y</em>₁ = $5 and <em>y</em>₂ = $9.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, <em>x</em>₁ = 2 and <em>x</em>₂ = 4 deliveries the money earned are <em>y</em>₁ = $9 and <em>y</em>₂ = $13.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, <em>x</em>₁ = 6 and <em>x</em>₂ = 8 deliveries the money earned are <em>y</em>₁ = $17 and <em>y</em>₂ = $21.

The rate of change for the money earned is:

\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        =\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0
3 years ago
You buy a package of 12 pencils for $2.64 write this rate as a unit rate?
iogann1982 [59]
Unit rate means how much does it cost for 1 unit

2.64 for 12 pencils
find 1 pencil
divide both sides by 12
0.22 for 1 pencil

0.22 per pencil
3 0
3 years ago
Jimmy went to buy apples at the supermarket. Which is the better buy? $5.00 for 4 apples
Anna71 [15]

Answer:

$6.00 for 5 apples

Step-by-step explanation:

$5.00/4= $1.25 per apple

$6.00/5= $1.20 per apple

5¢ cheaper

4 0
3 years ago
The perimeter of a rectangular garden is 43.8 feet. It's length is 12.4t . What is it's width ?
Nikitich [7]

Answer:5

Step-by-step explanation:

5 0
3 years ago
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