We can use the tangent ratio, where tan(x)=opposite/adjacent. In this question, FT is the 'opposite', TV is the 'adjacent' and 43° is 'x'.
Let's substitute the values into the equation, and rearrange to find the length of FT:
tan(43)=FT/53
× both sides by 53
53tan(43)=FT
Using a calculator, the answer to this equation gives us 49.42329957. Thus, the answer is D. 49.42
Answer:
3(7 + 4)2 − 24 ÷ 6 = 62
Step-by-step explanation:
3(7 + 4)2 − 24 ÷ 6 is the given expression.
Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,
M = multiplication, A = addition and S = subtraction
we try and solve the following expression in the same order.
Solving the bracket first, we get
3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6 =<u> 66</u> − 24 ÷ 6
Next, we solve divide,
66 − <u>24 ÷ 6</u> = 66 - <u>4</u>
Next, solving the subtraction, 66 - 4 = 62
Hence, 3(7 + 4)2 − 24 ÷ 6 = 62
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Answer:
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Given:
Find:
Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.
<u>Plug in the values</u>
<u>Simplify and solve for y</u>
Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.
Conversions aren't bad until you have to deal with the cubed and squared versions of them!! Remember that there are 100 cm in 1 meter. If that be the case, then there are 100cm*100cm*100cm (100cm^3) in m*m*m (1 meter cubed). We will use that in our conversion then:
. The cm^3 cancels out leaving m^3 over m^2 which is what we want. Doing the math now we get
, or