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viva [34]
3 years ago
7

Find the value of X. Round to the nearest tenth

Mathematics
1 answer:
postnew [5]3 years ago
3 0

9514 1404 393

Answer:

  88.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation ...

  Tan = Opposite/Adjacent

  tan(10°) = x/500

  x = 500·tan(10°)

  x  ≈ 88.2 . . . . units

_____

If you move the "500" dimension to the top of the figure, you see it is adjacent to the given angle, and the value x is opposite.

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A bean plant grows at a constant rate for a month. After 10 days, the plant is 25 centimeters tall. After 20 days, the plant is
wariber [46]
Y = 2x + 5

If you take the height at 10 days, 25 centimeters, after 10 more days the height is 45 centimeters, meaning for those 10 extra days the been plant grown 20 centimeters. Since we're told the plant is growing at a constant rate, this shows the bean plant is growing 2 centimeters per day. We can represent this with y = 2x. (After 10 days, the bean plant will be 20 centimeters, after 20 days, the bean plant will be 40 centimeters, etc.)

However, this is not completely true yet. As you can see, after the first 10 days the plant is not 20 centimeter, it's 25 centimeters. We already know the rate in which the plant is changing, but now we need to find the height that the plant was originally, before it started growing.

After the first 10 days, the plant is 25 centimeters tall. Since we know that the plant is growing 2 centimeters per day, we can subtract 20 from 25 to find the original height of the bean plant.

25 - 20 = 5
The bean plant was originally 5 centimeters.

This makes our final equation y = 2x + 5.
2x is the slope, and 5 is the y intercept.

Hope this helps1!
5 0
3 years ago
A student solved this problem and said the answer was 8 1/4 feet. Jenny had three pieces of rope. One piece was 3 1/2 ft long, a
Zigmanuir [339]
The answer would be B hope I helped u out!!!!!☺☺☺☺☺☺
3 0
3 years ago
Read 2 more answers
Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the mi
slamgirl [31]

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

f(x)=x^{2} -2x+8......(1)

<h3>What is the general form of a quadratic equation?</h3>

The general form of a quadratic equation is ax^{2} +bx+c=0 with a\neq 0.

As we know the minimum value of a quadratic function is \frac{4ac-b^{2} }{4a} when a>0

For f(x) a>0 so minimum value of f(x) = \frac{4*1*8-(-2)^2}{4*1}=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

To get more about quadratic functions visit:

brainly.com/question/1214333

6 0
2 years ago
A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?​
Assoli18 [71]

Answer:

$36.00 markup

Step-by-step explanation:

$72 x 50% (0.50) = $36.00

5 0
3 years ago
Question 2 (4 points)
matrenka [14]
That’s like a 45 degree angle
4 0
3 years ago
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