If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3
Now, we have to work out the area scale factor !
This is simple, since area is given in cm² then all we have to do is square our original scale factor!
So,
7/3² = 49/9
So, we can say that the ratio of the area would be:
x : 49/9x
Hope this helps! <3
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
Let x be the month on which the fee for two plans are equal.
Therefore,
150 + 10x = 50 + 30x
10x - 30x = 50 - 150
-20x = -100
x = 5
Cumulative cost = 150 + 10(5)
= 150 + 50
= 200
Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.
Answer:
The value of f(1) is smaller than the value of f(3)
Step-by-step explanation:
<u><em>The correct question is</em></u>
Given the function f(x) = 2x^2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.
The value of f(1) is the same as the value of f(3).
The value of f(1) cannot be compared to the value of f(3).
The value of f(1) is larger than the value of f(3).
The value of f(1) is smaller than the value of f(3)
we have
step 1
Find out the value of f(1)
substitute the value of x=1 in the function f(x)
so
For x=1
step 2
Find out the value of f(3)
substitute the value of x=3 in the function f(x)
so
For x=3
step 3
Compare the values
37> 15
so
f(3) > f(1)
or
f(1) < f(3)
therefore
The value of f(1) is smaller than the value of f(3)
When multiplying two numbers, a person can mentally add one of those numbers the other number amount of times.
