If vertex T' is at (2,-2) what are the coordinates of vertex s

Solve for x. round to the nearest hundredth if necessary.

iris [78.8K]

Answer: $x=11.47$

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Then, knowing that:

$\alpha=55\°\\adjacent=x\\hypotenuse=20$

You need to substitute these values into $cos\alpha=\frac{adjacent}{hypotenuse}$ :

$cos(55\°)=\frac{x}{20}$

Now, you can solve for "x":

$20*cos(55\°)=x\\x=11.471$

Rounded to the nearest hundreth:

$x=11.47$

6 0

2 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

2 years ago

У-3

alisha [4.7K]

Answer:

the answer will be verified by an expert. Until then, talk to a tutor.

5 0

1 year ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

On Monday, Rachel bought 13 yards of fabric in order to make face masks. Later that day, she purchased another 6 3/4 yards. On W

Vladimir [108]

Answer:

14.65

Step-by-step explanation:

You add 13 + 6 3/4 then subtract 5 1/10 from that and you have your answer.

5 0

2 years ago