All categories

3 years ago

Use special right triangles to solve for the exact value of x. 4 16 9

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

CHECK THE ATTACHMENT FOR THE FIGURE OF THE QUESTIONS

Answer:

Option A. is correct x = 4

Step-by-step explanation:

From the given figure

The adjacent of the given right angle triangle is

8 units which is the base,

Then x units is the opposite of the right angle triangle which is the height.

The hypotenuse side also has x units

Then value of x is required,

But going by right angle triangle trigonometry

cos(x) = adjacent / hypotenuse

Where adjacent= 8 unit

cos( 60) = 8/x

1/2 = 8/x

x = 8/2

= 4unit

Hence, Option A is correct, with 4 units

You might be interested in

Help me please no links

kirza4 [7]

Answer:

the answer is 4

Step-by-step explanation:

7 0

3 years ago

The graph above is a transformation of the function x2 Write an equation for the function graphed above

lutik1710 [3]

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

$(-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\$

We summarize (1) and (3):

$2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.$

Substitute b=-1 into (2):

$9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\$

From (5) subtract (4):

$8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\$

Substitute a=0,5 into (4):

$0,5+c=-1\\c=-1,5.$

Hense:

y=0,5x²-x-1,5.

5 0

2 years ago

What can you say about the y-values of the two functions ?

grandymaker [24]

Both exponential i.e 5 ^x
A is true, surprisingly.
B cannot be true, it alternates.(rule of indices negatives by positive exponent = positive, negative by negative , but -5 x -5 x -5 = + 5)
I'm only imaginging, but C must be right, since it increases exponentially, as opposed to D which only increases quadratically.

8 0

3 years ago

-5 1/2 - 4 1/4 + 6 3/4

ruslelena [56]

Answer:

-3

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

$-5\frac{1}{2} - 4\frac{1}{4} +6 \frac{3}{4} = -5\frac{2}{4} - 4\frac{1}{4} +6 \frac{3}{4} = -9\frac{3}{4} +6\frac{3}{4}=-3$