Answer:
1. 1072.6
2. 753.6
3. 194.2
4. 59.5
5. 4848.3
6. 1818.3
Step-by-step explanation:
We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)
1. tan(40)=900/x
x=900/tan(40)
x=1072.6
2. tan(37)=x/1000
1000tan(37)=x
753.6=x
3. sin(18)=60/x
x=60/sin(18)
x=194.2
4. sin(48)=x/80
80sin(48)=x
59.5=x
5. tan(22)=x/12000
12000tan(22)=x
4848.3=x
6. tan(33)=x/2800
2800tan(33)=x
1818.3=x
Answer: The amount that Kristen would owe three months from now is $67.5
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or the current balance.
R represents interest rate
T represents the duration for which the account is overdue in years.
From the information given,
P = 1500
R = 18%
T = 3 months = 3/12 = 0.25 year
I = (1500 × 18 × 0.25)/100 = $67.5
Answer:
184 in²
Step-by-step explanation:
Given :
Width, w = 6 inches
Length, l = 10 inches
Height, h = 2 inches
To obtain how much wrapping paper is needed ; we take the surface area of the box
Surface area = 2(lw + lh + wh)
Surface area = 2((6*10) + (6*2) + (10*2))
Surface area = 2(60 + 12 + 20)
Surface area = 2(92)
Surface area = 184 in²
The amount of wrapping paper needed = 184 in²
18 in total I think ion really know
The answer is:
A Ramdom variable is a function that assigns a numerical value to every possible outcome in a sample space.
It is a number that represents a result of an event or a random experiment. This variable does not depend on other factors and its values are random, without a specific order. For example: when you roll a dice, the number that you get is a random variable, because in 6 attempts you may get 1,6,4,2,2,5 and then, in another 6 attempts, you may get 3,3, 6,2,1,6.