Red bricks : Grey bricks
5 : 2
Total parts = 5 + 2 = 7
7 parts = 224
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Find 1 part:
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1 part = 234 ÷ 7
1 part = 32
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Find 5 parts:
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5 parts = 32 x 5
5 parts = 160
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Answer: 160 Red bricks
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If you want the area of the entire trapeziod.
The formula for area of a trapeziod is:
1/2h(b₁+b₂)
So the equation applied to the trapeziod is:
2.5(20+12)
20+12 is 32. 32 multiplied by 2.5 is 80.
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Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
Ratios:
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
Answer:
Simplify the expression.
t^/9
Step-by-step explanation:
