Answer:
990
Step-by-step explanation:
M/J = 2/7
J = 3/4 L
L = M + 396
7M = 2J
J = 3.5M
3.5M = 3/4 L
L = 4/3(3.5M)
L = 14/3 M
14/3 M = M + 396
11/3 M = 396
M = 3/11 × 396
M = 108
L = M + 396
L = 108 + 396
L = 504
J = 3/4 L
J = 3/4 × 504
J = 378
M + L + J = 108 + 504 + 378 = 990
Using the Pythagorean theorem we get:
Simplifying the above result we get:
Subtracting 64 from the above equation we get:
Therefore:
Answer:
This sequence be represented as a recursive equation by a1=8 and an=2a1
<u>Step-by-step explanation</u>:
- 'Recursive' refers to the repetition of a specific process in a sequence.
- The given sequence is {8,16,32,64}.
- If the value is 2 times the previous value, then an=2a(n-1)
Let a1=8,
then a2 = 2a(2-1)
⇒ a2 = 2a1
⇒ a2 = 2(8)
⇒ a2 = 16
Similarly,
For a2=16,
⇒ a3 = 2(a2)
⇒ a3 = 2(16)
⇒ a3 = 32
For a3=32,
⇒ a4 = 2(a3)
⇒ a4 = 2(32)
⇒ a4 = 64
∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.
Answer:
Step-by-step explanation:
How to Find Outliers Using the Interquartile Range(IQR)
Step 1: Find the IQR, Q1(25th percentile) and Q3(75th percentile). ...
Step 2: Multiply the IQR you found in Step 1 by 1.5: ...
Step 3: Add the amount you found in Step 2 to Q3 from Step 1: ...
Step 3: Subtract the amount you found in Step 2 from Q1 from Step 1:
Answer:
<u>The correct answer is B. 150 cm.</u>
Correct statement, question and diagram:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
60/84 = h/210
84 * h = 210 * 60
84h = 12,600
h = 12,600/
h = 150 cm
<u>The correct answer is B. 150 cm.</u>
