Number of spaces would be number of squares - 1
You would have 12 squares and 11 spaces.
Multiply number of each by their size then add the two together:
12 x 7 1/4 = 87 inches
11 x 3 5/16 = 36 7/16 inches
Total = 87 + 36 7/16 = 123 7/16 inches
Answer: 123 7/16 inches
Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
Answer:
aₙ = -2aₙ₊₁
Step-by-step explanation:
According to the sequence given 16, -8, 4, ...
a1 = 16
a2 = -8
a3 = 4
From the values, we can conclude thst;
a1 = -2(-8)
Since a2 = -8, then;
a1 = -2(a2)
Similarly
a2 = -2(4)
a2 = -2a3
The subsequent sequence are;
a3 = -2a4
The nth term will ne;
aₙ = -2aₙ₊₁
Hence the required recursive function is aₙ = -2aₙ₊₁
Answer:
1. b. 4/7
2. c. 3
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1)
m= (7-3)/(5 - -2)
= (7-3)/(5+2)
= 4/7
m = (y2-y1)/(x2-x1)
m= (5-2)/(2 - 1)
= 3/1
To find 20 percent of a number, multiply the number by 0.2. In this instance, 0.2 x 30 = 6. Therefore, 20 percent of 30 is equal to 6.<span>
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