Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the string, hence:
sin(28) = 75/l
l = 159.75 feet
Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.
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Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
To add these fractions, you need a lowest common denominator. Both 4 and 8 "go into" 8, so the lowest common denominator is 8.
In order to change the denominator 4 to 8, you need to multiply both the numerator and the denominator by 2. So, 1/4 becomes 2/8.
Now, the problem is 3/8 + 2/8.
You can add the numerators, because the denominator is the same for each fraction.
3/8 + 2/8 = 5/8
X=the weight of this man
We can suggest this equation:
5x/6+30=x
least common multiple=6
5x+180=6x
5x-6x=-180
-x=-180
x=180
Answer; his weight is 180 pounds.
<h3>
Answer: 2x(x^2-2)(x+1)</h3>
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Explanation:
First factor out the GCF 2x
2x^4+2x^3-4x^2-4x
2x*x^3+2x*x^2-2x*2x-2x*2
2x(x^3 + x^2 - 2x - 2)
Then let's factor the expression inside the parenthesis using the factor by grouping method
x^3 + x^2 - 2x - 2
(x^3 + x^2) + (- 2x - 2)
x^2(x + 1) - 2(x + 1)
(x^2 - 2)(x+1)
We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)
Overall, the original expression fully factors to 2x(x^2-2)(x+1)
length = 2x
width = x^2-2
height = x+1
The order of length, width, and height doesn't matter.
Answer:
11.18
Step by Step Explanation:
Subtract 9.5 from 21.23
