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labwork [276]
3 years ago
9

PLEASE HELPP! geometric probabilities​

Mathematics
2 answers:
Vlada [557]3 years ago
7 0
5/20 is the answer hope this helped
Doss [256]3 years ago
3 0
The answer to this is 5/20
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Can someone PLEASE help me solve this equation ? due soon
RideAnS [48]

\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

\implies \sf{3tanx + 7 =2(1 + tan^2x)}

\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}

\implies \sf{2tan^2x - 3 tanx - 5 = 0}

\implies \sf{2tan^2x -  5tanx + 2tanx - 5 = 0}

\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}

\implies \sf{(tanx + 1)(2tanx - 5) = 0}

\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }

8 0
3 years ago
Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

x-y=1\\2x+y=8\\3x=9\\x=3

Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
3 years ago
Read 2 more answers
Solve 2|3x-4|+4=12 show your work
slamgirl [31]

Answer:

0.6

Step-by-step explanation:

2×3x+4+4=12

6X+8=12

6x=12-8

6x=4

Divide by 6

X=0.6

5 0
3 years ago
The first time a census was taken in the town of Lynne, the population was 901. Each year after that, the population was about 2
pshichka [43]
The coordinates are (0, 901). (:
3 0
3 years ago
Read 2 more answers
Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth
butalik [34]

Answer:The distance from a point to a line is

distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)

So first convert the formula for the line to standard form

5x+2y=4

5x+2y-4=0

a=5, b=2, c=-4, x0=15, y0=-21

Step-by-step explanation:

5 0
3 years ago
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