In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win one point

What is the length of AB? 14 unite 12 unite 10 unite 6 units

Sloan [31]

the answer willllll be 6 units

5 0

3 years ago

A parallelogram has one angle that measures 118°. What are the measures of the other three angles in the parallelogram?

MariettaO [177]

Step-by-step explanation:

Given

We know that in a parallelogram opposite angles are equal. So 

1st and 3rd angles = 118°

Let 2nd and 4th angles = x

Now

118° + 118° + x + x = 360° ( Being sum of angles of parallelogram) 

236° + 2x = 360°

2x = 360° - 236°

2x = 124°

Therefore x = 62°

Now the measure of other all angles 

118° , 62° , 118°, 62°

3 0

3 years ago

1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the

Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the only solution to the equation

$\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I$

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

$f(x)=e^{3x}+\cos(5x),$

$g(x)=e^{3x}-\cos(5x),$

$h(x)=\cos(5x).$

Then, letting α = 1, β= -1 and ω = -2, we see that:

$\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.$

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0

3 years ago

Sharon is five years older than Robert. Five years ago, Sharon was twice as old as Robert was then. How old is Robert?

Rama09 [41]

Answer:

15

Step-by-step explanation

8 0

3 years ago

The length of a rectangle is 4 centimeters more than its width. if the ratio of the length to width is seven to five, find the d

Marina86 [1]

L = 4 + w
l/w = 7/5
l = 7w/5

7w/5 = 5 + w
7w = 25 + 5w
2w = 25
w = 12.5

l = 4 + 12.5
l = 16.5

the dimensions are 16.5 x 12.5 cm

6 0

3 years ago