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s2008m [1.1K]
3 years ago
11

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown

Mathematics
1 answer:
garri49 [273]3 years ago
4 0
Your answer will be a
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Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
If the parent function f(x) = (2x − 3)3 is transformed to g(x) = (-2x + 3)3, which type of transformation occurs? A. vertical sh
exis [7]

Answer:

The answer is C

Step-by-step explanation:

We have f(x) function as below:

f(x)=(2x-3)^3

and the converted function g(x) is as mentioned below:

g(x)=(-2x+3)^3

We can observe that:

f(x)=-g(x)

Therefore it can be said that this function reflected horizontally.

Note: please check the plot attached.

4 0
3 years ago
Read 2 more answers
Which functions have real zeros at 1 and 4? Check all that apply
yuradex [85]
X^2 - 5x + 4
-2x^2 + 10x -8
6 0
3 years ago
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
Viefleur [7K]
If we need our line to pass through point C, then we have to use the x and  coordinates of point C in our new equation.  If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal.  First things first.  Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit.  The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is m= \frac{-8-4}{2-(-2)} which is -3.  The opposite reciprocal of -3 is 1/3.  That's the slope we will use along with the points from C to write the new equation.  We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.  4= \frac{1}{3} (6)+b and 4 = 2 + b.  So b = 2.  That's the y-intercept, the point on the y axis where the line goes through when x is 0.  Therefore, the point you're looking for is (0, 2).
4 0
3 years ago
Write a rule for the linear function in the table.
mojhsa [17]

Answer: BRAINLY

f(x)=x-4 is the answer i believe

Answer :

The function is  

Step-by-step explanation:

Given values in table :

x        f(x)

3         -1

4          0

5          1

6          2

Here we see there is a difference of 4 in the values of x and f(x)

i.e. 3-(-1)=4

or 4-0=4

Similarly 5-1=4

6-2=4

So x-F(x)=4

Adding F(x) -4 both sides

x-F(x) +F(x) -4=4+F(x) -4

We have F(x)= x-4

Step-by-step explanation:

i cant find the answer

8 0
3 years ago
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