Answer:
The base of the second parallelogram is 51cm.
Step-by-step explanation:
If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:
Apply this same scale factor to the base of the first shape to find the base of the second:
Step-by-step explanation:
The solution is more detailed
Answer:
(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}
(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.
for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.
The frelation is not a function because:
When x = 1, y = +1 and y = -1.
(c) The set of data provided can be represented by the equation of a line of the form y = mx + b
The slope is:
m = 2
b = 5 - 2*3
b = -1
Then, the function is:
y = 2x-1
You can substitute any of the points shown in the equation and check that equality is satisfied, for example:
(11 , 21)
y = 2 (11) -1
y = 22-1
y = 21. The equation is satisfied. The same goes for the rest of the values.
Answer:
1) $16.35
2) 75%
3) $245
Step-by-step explanation:
1) Jada earns = $15 per hour
9% increase = 15 * 9/100 = $1.35
Increased Jada's pay = 15+1.35 = $16.35
2) Markup = selling price - cost= $350 - 200= $150
Markup % = \
= = 75%
3) Jada's sister commission is 3.5% of $7000
=
= $245