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algol13
3 years ago
14

30 pointss!HELP! Two students get into an argument about the correct answer.

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

tan \theta = \frac{opposite side}{adjacentside} .

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So tan A = \frac{3}{4} .

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So tan C = \frac{4}{3} .

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

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If dan has $3.75 and he spends 1/3 of it how much does he have left
olga_2 [115]
3.75 divided by 3= 1.25
3.75-1.25= 2.50
3 0
3 years ago
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For which equations below is x = -3 a possible solution? Select three options.
yaroslaw [1]

Answer:

-|x|=-3

|x|=-3

|-x|=-3

Step-by-step explanation:

4 0
2 years ago
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The following time series shows the sales of a clothing store over a 10-week period. Compute the mean square error (MSE) for a 4
Alenkasestr [34]

Answer:

7.67

Step-by-step explanation:

Given the data :

Week_sales_Forecast ___|error|_ |error|²

1 _____15

2 ____ 16

3 ____ 19

4 ____ 18

5 ____ 19 ____ 17 _______ 2____4

6 ____ 20 ___ 18 ________2____4

7 ____ 19 ____19 ________0____0

8 ___ 22 ____ 19 ________3____9

9 ___ 15 ____ 20 ________5___ 25

10 __ 21 _____19 ________ 2 ___ 4

Mean squared error :

(4 + 4 + 0 + 9 + 25 + 4) / 6

= 46 / 6

= 7.666

= 7.67

8 0
3 years ago
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If f(x) = 7x^2 - 3x +1 and g(x) = 3x - 2, find the following by matching.
Cloud [144]

f(x) = 7x² - 3x + 1

g(x) = 3x - 2


1. g(0) This means that x is 0, so you can plug in 0 for x in the equation:

g(x) = 3x - 2

g(0) = 3(0) - 2

g(0) = -2


2. g(1)    x is 1

g(x) = 3x - 2

g(1) = 3(1) - 2

g(1) = 3 - 2

g(1) = 1


3. f(1)     x is 1

f(x) = 7x²- 3x + 1

f(1) = 7(1)² - 3(1) + 1

f(1) = 7 - 3 + 1

f(1) = 5


4. f(x) = 7x²- 3x + 1

f(-2) = 7(-2)²- 3(-2) + 1

f(-2) = 7(4) + 6 + 1

f(-2) = 28 + 7

f(-2) = 35

4 0
3 years ago
Given that cos(30°) = cos(45°)cos(15°) + sin(45°)sin(15°), it follows that cos(30°) =
mario62 [17]

Answer:

cos(30\°) = cos(45\°-15\°)

Step-by-step explanation:

To solve this problem you must know the formula of subtraction of angles for the function cosx.

The formula is:

cos(h-d) = cos(h)cos(d) + sin(h)sin(d)

We can write 30° as: 45° - 15°

Then:

cos(30\°) = cos(45\°-15\°)

Using the formula for subtraction of angles we have:

cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)

Notice that we have achieved the expression shown in the statement

Finally:

cos(30\°) = cos(45\°-15\°)

8 0
2 years ago
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