Answer:
First picture: 60
Second picture:
Step-by-step explanation:
The first step for the first picture is to find the area of the triangle on top. In order to do that, we have to use the equation: (W*L*1/2)
(3*4*1/2)=6
Then, we multiply the above equation by the Height. Which makes the equation become 60.
The first step for the second picture is the same. We first find the area of the triangle on top.
(12*9*1/2)=54
Then we multiply the height by our above answer.
(54*20)=1,080
The other measurements that were there aren't needed. So, next time, completely ignore them!
Hope you have a good day/night! Good luck!
b. -3x^3+30x^2-76x-5
c. -3x^3-76x-5
d. -3x^3+30x^2+74x-5
The given expression can be simplified to obtain -3x³ + 74x - 5. The correct option is (a).
An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is (x + 5)(-3x² + 15x - 1).
It can be evaluated as follows,
(x + 5)(-3x² + 15x - 1)
⇒ x(-3x² + 15x - 1) + 5(-3x² + 15x - 1)
⇒ -3x³ + 15x² - x - 15x² + 75x - 5
⇒ -3x³ + 74x - 5
Hence, the product of the given expression is -3x³ + 74x - 5.
To know more about algebraic expression click on,
#SPJ2
Answer:
-3x^3+74x-5
Step-by-step explanation:
(x+5)(-3x^2+15x-1)
-3x^3+15x^2-x-15x^2+75x-5
-3x^3+15x^2-15x^2+75x-x-5
-3x^3+74x-5
B.18 M
C. 24 M
D. 48 M
Please show work..Not for a cheat but I am struggling understanding proportions and algebra. Thank you
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Length of a fence on a scale drawing = 6 cm
Scale = 1 cm : 4 m
Let the actual length of the fence be x
Since there is direct variation between the scale and actual.
According to ratio, we will have,
Hence, Option 'C' is correct.
Answer:
40.8407
Step-by-step explanation:
Answer:
The total amount after 2 years of Joann's investment at a rate of 6% compounded annually is US$ 48.314.80 (rounded to the nearest cent)
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 43,000
Duration of the investment = 2 years
Annual interest rate = 6% compounded annually
2. Let's find the future value of this investment after 2 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment = US$ 43,000
number of periods (n) = 2 (2 years compounded annually)
rate (r) = 6% = 0.06
Replacing with the real values, we have:
FV = 43,000 * (1 + 0.06) ²
FV = 43,000 * (1.06) ²
FV = 43,000 * 1.1236
FV = US$ 48.314.80
The calculated value of a in the equtaion is a = 6
From the question, we have the following parameters that can be used in our computation:
7a-3=3+6a
Rewrite as
7a - 3 = 3 + 6a
Evaluate the like terms
So, we have
7a - 6a = 3 + 3
This gives
a = 6
Divide through the equation by 6
so, we have the following representation
a/6 = 1
Evaluate the quotient on the right hand side
a/6 = 1
Lastly, we have
a = 6
Hence, the value of a in the equtaion is 6.
Read more about equation at
#SPJ6