Answer:
Step-by-step explanation:
In order to find the side mentioned (IJ), we need to use SOH CAH TOA.
SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:
Sin = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.
Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.
Our equation is now this: 
Let's now solve for x.
Therefore, the length of IJ will be around 2.01.
Hope this helped!
Answer:
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Step-by-step explanation:
Answer:
8 hours
Step-by-step explanation:
If Jackie wants to burn 2000 calories in one week but only burns 250 calories per hour
then, to solve how many hours you have to divide
2000/250= 8
therefor Jackie has to do aerobics for 8 hours that week to burn 2000 calories
Answer:
6√10
Step-by-step explanation:
factorizing 6 and 60
6 = 2 x 3
60 = 2 x 2 x 3 x 5
hence
√6 · √60
= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]
= √ (2· 2² · 3² · 5)
= √ (2² · 3²) x √(2·5)
= (2 · 3) x √10
= 6√10
Answer:
The expected value for a student to spend on lunch each day = $5.18
Step-by-step explanation:
Given the data:
Number of students______$ spent
2 students______________$10
1 student________________$8
12 students______________$6
23 students______________$5
8 students_______________$4
4 students_______________$3
Sample size, n = 50.
Let's first find the value on each amount spent with the formula:
Therefore,
For $10:
For $8:
l
For $6:
For $5:
For $4:
For $3:
To find the expected value a student spends on lunch each day, let's add all the values together.
Expected value =
$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24
= $5.18
Therefore, the expected value for a student to spend on lunch each day is $5.18
