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3 years ago

How to solve this with tan I need AB

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

Answer:

AB = 2.18 units

Step-by-step explanation:

$\tan 52\degree =\frac{AB}{BC} \\ \\ AB = BC \tan 52\degree \\ \\ AB = 1.7 \times 1.2799416322 \\ \\ AB = 1.7 \times 1.2799416322 \\ \\AB = 2.17590077 \\ \\ AB \approx 2.18 \: units$

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A plan for a park has a rectangular plot of wild flowers that needs to be enclosed by 54 feet of fencing. Only three sides need

Gekata [30.6K]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

a) What is the largest area possible for the garden?

Now, let the length of the rectangular plot be 54 -2x,

and the width of the rectangular plot be x,

so that:

$\begin{gathered} \text{Area = (54 -2x) x = 54 x -2x}^2 \\ \frac{dA}{dx}=\text{ 54 - 4x = 0} \\ We\text{ have that:} \\ 54\text{ = 4x } \\ \text{Divide both sides by 4, we have that:} \\ \text{x = }\frac{54}{4} \\ \text{x = 13. 5} \end{gathered}$

Then, the largest area possible for the garden will be:

$\text{Area = 54x -2x}^2=54(13.5)-2(13.5)^2=729-364.5=364.5ft^2$

b) What width will produce the maximum area?

$Width,\text{ x = 13. 5 fe}et$

c) The length of the garden that will produce the maximum area:

$\text{Length = 54 - 2x = 54 - 2( 13. 5) = 54 -27 = 27 fe}et$

5 0

1 year ago

If x= -2 and y=8 than how do you solve this problem in its simplest form. 4x=y/xy-4y=

Reika [66]

4(-2)=8/-2(8)-4(8)

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3 years ago

Read 2 more answers

A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best rep

MariettaO [177]

Answer:

Step-by-step explanation:

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3 years ago

Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his

yaroslaw [1]

Answer:

$1 \frac{5}{14}$ , $\frac{19}{14}$

Step-by-step explanation:

How much longer did he study for his math test?

$E=3\frac{6}{7}$

$M=5\frac{3}{14}$

$x=difference$

An equation for this would resemble this:

$M- E=x$

Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2. $\frac{6(2)}{7(2)}=\frac{12}{14}$

Now we can solve the equation:

$5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}$

$1 \frac{5}{14}$ , as a mixed number

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The sector of a circle with a 12 inches radius has a central angle measure of 60°. What is the exact area of the sector in terms

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3 years ago