Answer:
Step-by-step explanation:
The sunflower then began to grow at a rate of 2 inches per week. This means that the rate of growth of the sunflower is in arithmetic progression. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 25 inches
d = 2 inches
To determine the height after 7 weeks, T7
n = 7
T7 = 25 + 2(7 - 1)
T7 = 25 + 12
T7 = 37 inches
To determine the height after w weeks, Tw
n = w
Tw = 25 + 2(w - 1)
Tw = 25 + 2w - 2
Tw = 23 + 2w
Answer:
a segment cd only
Step-by-step explanation:
segment cd is the only line that passes through segment ab at a right angle
Answer:
3(pi)
Step-by-step explanation:
8.33 (repeating 33) is 8.333333...
3(pi) = 9.42477796...
17/2 = 8.5
sqrt(64) = 8
Answer: 3(pi)
Answer:
Lower quartile 3, median 5, Upper quartile 7
Step-by-step explanation:
First divide the data in half 1 3 4 and 6 7 7
The median is the middle between 4 and 6, so it is 5.
The lower quartile is the median in the lower half, 3
The upper quartile is the median in the upper half, 7
Answer:
x = 110°
Step-by-step explanation:
The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.
This means that ½ (210 – x) = 50.
½ ( 210 – x ) × 2 = 50 × 2
210 – x = 100.
210 – x + x = 100 + x.
210 = 100 + x.
100 + x = 210.
100 + x – 100 = 210 – 100.
x = 110.
This value must be true because:
½ ( 210 – 110 ) = 50.
½ ( 100 ) = 50.
50 = 50.
