Answer:
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
Sixth term
T6 = a+(6-1)d
T6 = a+5d
Third term;
T3 = a+(3-1)d
T3 = a+2d
If the sixth term of an AP is twice the 3rd term, then
a+5d = 2(a+2d)
a+5d = 2a+4d
Given a = 3
3+5d = 2(3)+4d
5d-4d = 6-3
d = 3
Common difference is 3
For the 10th term
T10 = a+9d
T10 = 3+9(3)
T10 = 3+27
T10 = 30
Hence the tenth term is 30
Answer:
I am not entirely sure what you are asking here but if I am right then the answer is -4(x-2) = 8 - 4x
Step-by-step explanation:
Multiplying binomials all you have to do is distribute the 4
Multiply -4 by x to get: -4x
Muliply -4 by -2 to get: 8 (Because two negatives make a positive)
Now you have -4x + 8
Rewrite so it flows better and the answer is:
8 - 4x
Answer:
95 ft²
Step-by-step explanation:
Given:
regular pyramid with,
Square base of side length (s) = 5 ft
Slant height (l) = 7 ft
Required:
Surface area
Solution:
Surface area of a regular pyramid = ½*P*l + B
Where,
P = perimeter of the square base = 4(s) = 4(5) = 20 ft
l = slant height = 7 ft
B = area of base = s² = 5² = 25 ft²
Surface area = ½*20*7 + 25
= 10*7 + 25
= 70 + 25
Surface area of regular pyramid = 95 ft²
The dimensions of the rectangle are:
Length = 14.75 m
Width = 10.75 m
<h3>What is the Perimeter of a Rectangle?</h3>
The total length of a rectangle is gotten by adding all it's side lengths together. The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length+ width).
The dimensions for a rectangle is given as:
Perimeter = 51 meters
Length of rectangle = L meters
Width of rectangle = (L - 4) meters.
Therefore:
2(L + (L - 4)) = 51
2(L + L - 4) = 51
2(2L - 4) = 51
4L - 8 = 51
4L = 51 + 8
4L = 59
L = 59/4
L = 14.75
Length of rectangle = 14.75 m
Width of rectangle = (L - 4) = 14.75 - 4 = 10.75 m
Learn more about rectangle on:
brainly.com/question/25292087
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