Answer:
8.94 if no rounding is necessary.
Step-by-step explanation:
Pythagorean Theorem. What we know is only one leg and the hypotenuse, sooo...
8² + b² = 12²
64 + b² = 144
Subtract 64 from both sides...
64 - 64 + b² = 144 - 64
b² = 80
= 8.94 if you're not rounding.
Answer:

Step-by-step explanation:

Distribute 5 through the parentheses
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When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses
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Collect like terms
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Add the numbers : 15 and 4
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Hope I helped!
Best regards!!
Answer:
Option D is the correct option.
<em>please </em><em>see</em><em> the</em><em> attached</em><em> picture</em><em> for</em><em> full</em><em> solution</em><em>.</em><em>.</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer:
The window is actually 6 feet long
Step-by-step explanation:
To solve this problem we have to see how to use the scale
2 in : 1ft
We divide the 12 inches that we have by the 2 inches of the scale
12 in / 2 in = 6
Now we multiply the number he gave us by 1ft of the scale
6 * 1ft = 6ft
The window is actually 6 feet long
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.