Calculate the area of the triangle 7m 4m is it (a) 14 m² (b) 18 m² (c) 28 m² (d) 56 m²
Answers
Therefore, the answer is (b)
=)=)=)=)=)
28m
Step-by-step explanation:
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Scores on the wechsler adult intelligence scale (wais) approximate a normal curve with a mean of 100 and a standard deviation of 15. what proportion of iq scores are below 82
Two similar pyramids have corresponding dimensions in the ratio 3:5 Find the ratio of their volumes
Answers
Answer:
Step-by-step explanation:
If a ball bounces to a height of 5feet, the initial drop = 5feet
If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;
= 70% of 5
= 70/100 * 5
= 0.7*5
= 3.5 feet
The next height will be 0.7*3.75 = 2.45 and so on
The heights wil form a sequence as thus;
5, 3.5, 2.45...
This sequence forms a geometric progression.
To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the sequence:
a = 5
Substitute the given values into the formula
The nth tern=m required is
The function that models the nth term in the sequence of heights of the ball after the initial drop is an = 5 * 0.7(n-1)
The sequence of heights of the ball can be modeled using a geometric sequence, since the ball rebounds to 70% of its previous height after each bounce. The formula for a geometric sequence is:
an = a1 × r(n-1)
where an represents the nth term in the sequence, a1 is the initial term (in this case, the height of the first bounce), and r is the common ratio (in this case, 0.7). So, the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is:
an = 5 × 0.7(n-1)
Learn more about Geometric sequence here:
#SPJ3
Answers
Answer:
- 1 necklace: 24 blue, 30 green
- 2 necklaces: 12 blue, 15 green (each)
- 3 necklaces: 8 blue, 10 green (each)
- 6 necklaces: 4 blue, 5 green (each)
Step-by-step explanation:
The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.
The possible numbers of necklaces are 1, 2, 3 or 6.
The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.
_____
The greatest common factor (GCF) is the product of the common prime factors.
24 = 2^3×3
30 = 2×3×5
The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.
Answers
0.25 × 100 = 25%
Answer is B. 25%
so the answer is 25%
y=x+2
substitution
Answers
y = x+2
y = y
2x-2 = x+2 |-x
x -2 = 2 |+2
x = 4
y = x+2
y = 4+2
y =6
x2 - 2x + = 4(x2-2x +1)-3
Answers
Answer:
-3x² +6x -1 = 0
Step-by-step explanation:
x2 - 2x + = 4(x2-2x +1)-3
x² - 2x = 4x²-8x +4 - 3
x²-4x²-2x+8x = 4-3
-3x² +6x = 1
-3x² +6x -1 = 0