Find the function value.<br> cos480°

What ratio can you use to determine the probability of a compound event?

maria [59]

Answer:

Step-by-step explanation:

Favorable outcome. To possible outcome

4 0

3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

malik collects rare stamps and has a total of 212 stamps. he has 34 more domestic stamps than foreign stamps. let x represent th

valina [46]

<span>x = number of domestic stamps

y = number of foreign stamps

Malik collects rare stamps and has a total of 212 stamps.

=> x + y = 212

he has 34 more domestic stamps than foreign stamps.

=> x = y + 34

which equation represents the total number of stamps malik collected?

x + y = 212

which equation represents the difference in the number of foreign and domestic stamps malik collected?

x - y = 34

which system of linear equations represents the situation?

x + y = 212
x - y = 34
</span>

8 0

2 years ago

Read 2 more answers

The quadratic function f(x) has a turning point at (-3,6). the quadratic y=2/3f(x)+3 would have a turning point of

NARA [144]

Answer:

C. (-3,11)

Step-by-step explanation:

Tp is (-3,6) implies the quadratic could have been

f(x) = (x+3)²+6

(2/3)f(x) = (2/3)[(x+3)²+6]

= (2/3)(x+3)²+4

(2/3)f(x)+3 = (2/3)(x+3)²+4+3

= (2/3)(x+3)²+7

Tp at (-3,7)

Alternately,

No change in domain so x remains-3

(2/3)f(x) changes y from 6 to 4 (6×2/3)

+3 increases the y by 3

i.e 4+3 = 7

So, (-3,7)

4 0

3 years ago

Can someone please help , I have no idea at all :((

frez [133]

D=62*
triangles=180*
use the equation 90+28+d=180

8 0

3 years ago

Find the function value. cos480°