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Ivahew [28]
3 years ago
6

What is the answer cos75 degrees=10/x

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0
To find the answer we simply work out the equation.
cos (75) = 10/x

cos (75) * x = 10. Here, I simply multiplied both sides by x to move x to the left hand side of the equation.

x = 10 / cos (75) Here, I divided cos (75) on both sides to move cos (75) to the right hand side of the equation.

The cosine of 75 is 0.92175127, so, 10 / 0.92175127 = 10.8489137
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Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
How could you use compensation to find 391-26
almond37 [142]
This equals 365 i know that is not what you ask but this is what i know
7 0
3 years ago
There are 72 packs of sugar in a box. Each sugar pack is 9/10 of an ounce. How many ounces are in a box?
mixas84 [53]
9/10 of an ounce is 0.9. 0.9 X 72 = 64.8.

There is 64.8 ounces in a box.
7 0
3 years ago
How many degrees are each angle of a regular 7 sided shape?
Diano4ka-milaya [45]

Answer:


Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

900/7 = 129.57 which is slightly off because it is a rounded error.

In general, the size of the angles  in a  regular polygon

180(n - 2 ) / n

Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get

180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

6 0
3 years ago
6 + n = 22 ; n = 8 please show the given value is a slolution of the equation
Mariana [72]

Answer: if n = 8 then the equation is false because 6+8 = 14 but on the equation, it shows 6+8 = 22, which is false

5 0
2 years ago
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