Answer:
option A
Step-by-step explanation:
let the hypotenuse be x
take 45 degree as reference angle and use cos rule
cos 45 = adjacent/hypotenuse
1/ = 6/x
do cross multiplication
6* = x *1
6 = x
If R= {(1,2), (3,4), (5,6), (8,9)} find the domain and range of R a. Find value of X and Y.
1 answer:
<h2>The Domain and Range of a Set of Ordered Pairs</h2><h3>Answer:</h3>
Domain:
Range:
We are given the set of ordered pairs: . The Domain is just the set containing all the
values of each ordered pair of
. Recall that in the ordered pair
,
is the
value. In set
, we can see that the
values are
.
For the Range, it is just the set containing all the values of each ordered pair of
. Recall that in the ordered pair
,
is the
value. In set
, we can see that the
values are
.
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Real word problem ⇒ constant of proportionality
$4.16 for 4 pounds of bananas ⇒ 1.04
$16.48 for 8 pounds of potatoes ⇒ 2.06
$18.36 for 2 pizzas ⇒ 9.18
2 cups of flour to make 36 cookies ⇒ 18
<em><u>Solution:</u></em>
A proportional relationship is one in which two quantities vary directly with each other.
We say the variable y varies directly as x,
if for x ∝ y
then, x = y k
Where "k" is called constant of proportionality
<em><u>$4.16 for 4 pounds of bananas</u></em>
x = 4.16 and y = 4
Thus constant of proportionality is 1.04
<em><u>$16.48 for 8 pounds of potatoes</u></em>
x = 16.48 and y = 8
Thus constant of proportionality is 2.06
<em><u>$18.36 for 2 pizzas</u></em>
x = 18.36 and y = 2
Thus constant of proportionality is 9.18
<em><u>2 cups of flour to make 36 cookies</u></em>
x = 36 and y = 2
Thus constant of proportionality is 18