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vovikov84 [41]
2 years ago
9

Find (tan Q) the answers are in the pictures, the last answer is D.) cannot be determined

Mathematics
1 answer:
Readme [11.4K]2 years ago
3 0
Q=45°
tan 45°=1
so the answer is 1
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Variable y varies directly with x2, and y = 96 when x = 4.
lakkis [162]
Direct variation is y = kx, where k is the constant of variation.
 But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.

The equation is y = k(2x)
 Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
 
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made. y = 12(2*2) y = 48
_________________
Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
 
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
 
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
4 0
2 years ago
marianne buys 16 bags of potting soil that comes in 5/8 lb. bags. how many pounds of potting soil foes she has.
andriy [413]
One bag of soil is 5/8 pounds.
you have 16 of them.
just multiply 16 by 5/8.
you could just type it into your calculator, or you could do it the long way:
16 *  \frac{5}{8} \\ \frac{16*5}{8} \\  \frac{8*2*5}{8} \\ 2*5\\10

she has 10 pounds of potting soil.
8 0
3 years ago
A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is
Levart [38]

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

<h3>The distance from the point of departure?</h3>

The given parameters are:

  • Distance east = 40 milies
  • Distance southwards = 70 miles
  • Angle = 12 degrees

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

Read more about distance and bearing at:

brainly.com/question/24142612

8 0
2 years ago
How to work out surface area of cubes
allsm [11]

Answer:

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.

Hope this helps!!!!!!!!

8 0
3 years ago
Do you guys like red chicken or white chicken
lys-0071 [83]

I like black chicken that lay black eggs

7 0
2 years ago
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