Tanα=h/x
h=xtanα, we are told that x=6.5ft and α=74° so
h=6.5tan74 ft
h≈22.67 ft (to nearest hundredth of a foot)
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, lets change 2.6% into a decimal:
2.6% -> 
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
The account balance after 10 years will be $1,179
Answer:
i cannot help you get the answer to the question without more information but i can explain how to solve it, what your question is, is called a "permutation"
Step-by-step explanation:
To calculate permutations, use the equation nPr, where n is the total number of choices and r is the amount of items being selected. To solve this equation, use the equation nPr = n! / (n - r)! , an exclimation point means the factorial, say we need the factorial of 4, we would do this 4x3x2x1 go left to right, and it is not all at once. you multiply 4 times 3 which equals 12, then multiply 12 times 2... so on and so forth
Answer:
A = 81 m²
Step-by-step explanation:
The formula for area of the parallelogram is
A = LH where L is the length of the base, and H is the height
L is given as 9, and H is given as 5, so
A = (9)(5) = 45 m²
The are of the triangle is
A = (1/2)bh where b is the base and h is the height
b is given as 9. Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure. The height of the triangle is give as 8, so the area is..
A = (1/2)(9)(8)
A = 36 m²
The total area is
45 m² + 36 m² = 81 m²
