Step-by-step explanation:
In ∆ABC, if <A is 90° and <B is 45° then hypotenuse is BC.
Now,
Cos B= base/height
Cos B= AB/ BC
BC= AB/cos 45°.
The first term and common ratio for the geometric sequence are -3 and 5 respectively
<h3>Geometric sequence</h3>
This are sequence that increases exponentially. The nth term of the sequence is given as:
Tn = ar^n-1
where;
a is the first term
r is the common ratio
n is the number of terms
ar = -15
ar^3 = -375
Divide
r^2 = 375/15
r^2 = 25
r = 5
Determine the first term
a= -15/r
a = -15/5
a = -3
Hence the first term and common ratio for the geometric sequence are -3 and 5 respectively
Learn more on sequence here: brainly.com/question/6561461
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In scientific notation, you want (a number less than 10 and more than 0) times 10^x
so 48978 made so that it is less than 10 and more than 0 is
4.8978
we count how many times we divided 48978 by 10 to get 4.8978 and we get 4
so 4.8978 times 10^4
or on an online test
4.8978e+04
Given:
Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.
Cost of oak fencing = $11 per foot
To find:
The cost of total oak fencing around her garden.
Solution:
Let,
Length of the garden, l = (-7x-3) feet
Width of the garden, w = (9x+2) feet
So, the perimeter of garden is (4x-2) fee.
Cost of oak fencing is $11 per foot. So, total cost is
Therefore, the total cost of oak fencing is 44x-22x.
