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DochEvi [55]
3 years ago
5

I need help with this trig question

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0
<h3>Answer:  5.6 cm</h3>

===========================================================

Work Shown:

Apply the cosine ratio to find the adjacent side AB

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(62) = AB/12

12*cos(62) = AB

AB = 12*cos(62)

AB = 5.6336587534307

AB = 5.6 cm

Make sure your calculator is in degree mode.

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Which of the following is a characteristic of Euclidean geometry?
ELEN [110]

Answer:

b

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

4 0
3 years ago
If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift
Arturiano [62]

Answer:

  • A. g(x) = |x + 8| - 3

Step-by-step explanation:

<u>If the function is f(x), then shift 8 units left and 3 units down will result in:</u>

  • g(x) = f(x + 8) - 3

<u>Apply to the given function to get:</u>

  • g(x) = |x + 8| - 3

Correct choice is A

8 0
3 years ago
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
SOVA2 [1]
Part A: To get an equation into standard form to represent the total amount  rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.

Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}

Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
<span>
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
</span>
The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
</span>
But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25


Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
</span>
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
</span><span>
Writing the equation using the function notation would give us this
f(x) = 50x + 25


Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
6 0
3 years ago
A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne
Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width     l = 4w

Process

1.- Substitute length in the first equation

                       Area = w(4w)

Simplify

                       Area = 4w²

2.- Solve for w

                      w = \sqrt{\frac{Area}{4}}

Substitution

                      w = \sqrt{\frac{144}{4}}

Simplification

                      w = \sqrt{36}

Result

                      w = 6 ft

3.- Find l

                       l = 4(6)

                       l = 24 ft

8 0
3 years ago
If 5x + 2 = 17, then 12x =____?
tensa zangetsu [6.8K]

36

Step-by-step explanation:

5x is 15

x is 3

12 times 3 is 36

7 0
2 years ago
Read 2 more answers
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