Answer:
The missing side, a = 100.50
Step-by-step explanation:
The given information are;
A = 18
B = 28
C = 100
a = Required,
The number of data points in the definition = 3, therefore, the figure is a three sided figure or a triangle
The sum of the given data is 18 + 28 + 100 = 146 which is less than the sum of the interior angles of a polygon, the minimum of which is 180° for a triangle.
However, the length of the two sides A and B are less than the third side C, therefore, the sides need more length for them to form a triangle
The fourth required information can be taken as the fourth side of a trapezium, to give;
Length of a = √((28 - 18)² + 100²) = 100.499, which can be written to the nearest 10th as 100.50.
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Answer:
(a) an = 18 +3(n -1)
(b) row 35
Step-by-step explanation:
(a) The general term (an) of an arithmetic sequence can be expressed in terms of the first term (a1) and the common difference (d) as ...
an = a1 +d(n -1)
The given sequence has a1 = 18 and d = 3, so the explicit formula is ...
an = 18 + 3(n -1)
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(b) We want to find n such that an = 120.
120 = 18 + 3(n -1)
40 = 6 + n - 1 . . . . . . . divide by 3
35 = n . . . . . . . . . . . . . subtract 5
Row 35 has 120 seats.
Answer:
Step-by-step explanation:
Pumpkins are good for more than just jack-o’-lanterns: you can decorate with them, carve them, eat them, or plant the seeds so you have free pumpkins next year. You can find pumpkins for sale at farmers markets, pumpkin patches, and national chain retailers like Costco, Kroger, and Walmart. Farmers markets and pumpkin patches tend to price their pumpkins by the pound, charging around $16 to $25 for large pumpkins. Chain stores charge a per-pumpkin price, which is usually around $3 for small, decorative pumpkins and $5 to $10 for carving pumpkins. Below, we list the various uses for pumpkins, the places that sell pumpkins, and the average pumpkin prices.
