Triangular tortilla chips have interior angles labelled A, B, and C. The measure of interior angle A is 90∘.If the measure of in
1 answer:
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Answer:
Step-by-step explanation:
It is given that,
Length of each brick = 10 inches
Mortar between between each brick = 1 inch
For 2 bricks, we need mortar once.
For 3 bricks, we need mortar 2 times.
For 4 bricks, we need mortar 3 times.
Similarly,
For n bricks, we need mortar (n-1) times.
Total length of n bricks = 10n inches
Total length of (n-1) times mortar = 1(n-1) = n-1 inches
Total length of wall = 10n + (n-1) inches.
1 feet = 12 inches
10 feet = 120 inches
The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.
Therefore, the required equation is .
Given, the amount Megan has in short term savings = $500.
The amount in retirement savings account = $5000.
The amount in credit card debt = $500.
The amount in student loan debt = $6500.
So total assets of Megan = Sum of short term savings and retirement savings.
Total asset = $500 + $5000 = $ = $
Total liabilities of Megan = sum of credit card debt and student loan debt.
Total liability = $ 500 + $6500 = $ = $
Now to find Megan's net worth we have to subtract total liability from total asset.
So Megan's net worth = $5500-$7000 = $ = $
So we have got the required answer.
Net worth of Megan = -$1500.
Answer:
<em>1.1n</em>
<em>0.6p</em>
<em>0.3b</em>
Step-by-step explanation:
<u>Simplifying Like terms</u>
Like or similar terms are those who have the same letters raised to the same power. For example, 5ab, -6ba, 0.6ab are like terms.
Terms like 5xy, -6xz, are not similar because they have different letters of powers.
The terms 1.6n-0.5n are similar and they can be simplified by operating their coefficients: 1.6-0.5=1.1. Thus
1.6n - 0.5n = 1.1n
Similarly, we can simplify 0.9p-0.3p. Operating 0.9-0.3=0.6 gives the result:
0.9p - 0.3p = 0.6p
Finally:
b - 0.7b = (1 - 0.7)b = 0.3b
Results:
1.1n
0.6p
0.3b
Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2