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jeka94
3 years ago
11

If you're good at trig please help meeeee Show full working out ;)

Mathematics
1 answer:
Trava [24]3 years ago
7 0

We break down the area into two triangles - since we're given all their side lengths, we use Heron's formula: [area]=\sqrt{s(s-a)(s-b)(s-c)}, where s=\frac{a+b+c}{2}

[ABD]=\sqrt{(265)(115)(85)(65)}\approx 12975.92

[CBD]=\sqrt{(225)(125)(75)(25)}\approx 7261.84

[ABCD]=[ABD]+[CBD]\approx\boxed{20238\,\text{m}^2}.

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tatuchka [14]
The independent variable is the # of hrs.
the dependent variable is # of gallons.
the slope is -125.
the y intercept is 13000
3000
7 0
3 years ago
Read 2 more answers
Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2
Lana71 [14]

Remark

The best way to answer something like this is to actually graph both equations. I have done that for you below.

Red Line: f(x) = 1/4x - 1

Blue Line: g(x) = 1/2x - 2

Now look at the answers.

A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.

B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].

C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.

D is correct.

E is just wrong. Both parts are incorrect.


3 0
4 years ago
The function c(x) = 0.5x+70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number o
tigry1 [53]

Step-by-step explanation:

the given  function: c(x) = 0.5x+70.

Where C = cost (in dollars) and x is the number of miles you drive the truck.

when we compare the given function by slope- the intercept form y=mx+b, what we get  is

Slope m = 0.5 whose fraction can be written as \frac{1}{2}

And y-intercept b =70.

for us to be able to graph it, we need to plot y-intercept from 70  and then plot some more points by applying or increasing the points by \frac{1}{2}

the shaded lines on the graph indicates the given function.

cost is at $70 for 0 number of miles. travelled.

Thus;

the Domain: x≥0 and Range :  C(x)≥70

3 0
3 years ago
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3. (10 points) G
navik [9.2K]
  • f(x)=2x+1

We have to integrate the expression in order to find average rate of change.

\boxed{\sf {\displaystyle{\int}}x^ndx=\dfrac{x^{n+1}}{n+1}}

Now

\\ \sf\longmapsto {\displaystyle{\int}^3_0}f(x)dx

\\ \sf\longmapsto {\displaystyle{\int}^3_0}(2x+1)dx

\\ \sf\longmapsto \left[\dfrac{2x^2}{2}+x\right]^3_0

\\ \sf\longmapsto [x^2+x]^3_0

\\ \sf\longmapsto 3^2+3-(0^2+0)

\\ \sf\longmapsto 9+3

\\ \sf\longmapsto 12

3 0
3 years ago
What is the value of x in the figure below?
Tema [17]

Let's see

\\ \rm\dashrightarrow \dfrac{9}{x}=\dfrac{24}{12}

\\ \rm\dashrightarrow \dfrac{9}{x}=2

\\ \rm\dashrightarrow x=\dfrac{9}{2}

\\ \rm\dashrightarrow x=4.5

8 0
2 years ago
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