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3 years ago

Find all solutions in the interval [0,2pi) sec^2x + 2tanx = 3

1 answer:

6 0

Tan^2x + 1 + tanx - 3 = 0 tan^2x + tanx - 2 = 0 (tanx + 2)(tanx - 1) = 0 tanx = -2 or tanx = 1 x = 2.034 radians or x = 5.176 radians or x = pi/4 radians or x = 5pi/4 radians

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Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking tw

kow [346]

Answer:

$\frac{5}{13}$

Step-by-step explanation:

Given,

Red marbles = 3,

Green marbles = 10,

So, the total marbles = 3 + 10 = 13,

$\because \text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Since, here replacement is not allowed,

Thus, the probability of getting a green marble and a red marble

= first red and second green + first green second red

$=\frac{3}{13}\times \frac{10}{12}+\frac{10}{13}\times \frac{3}{12}$

$=2\times \frac{3}{13}\times \frac{10}{12}$

$=\frac{30}{78}$

$=\frac{5}{13}$

Note : The probability of getting a green marble first and a red marble second

= $\frac{10}{13}\times \frac{3}{12}$

$=\frac{30}{156}$

$=\frac{5}{26}$

4 0

3 years ago

serena is making a large meatloaf that contains ground beef and ground pork. the beef is $3.50 per pound and the pork is $2.00 p

kvasek [131]

Answer:

Step-by-step explanation:

3.50*2= 7 dollars $2.00 *4.125=8.25 8.25+7=15.25

8 0

3 years ago

Read 2 more answers

What is the event space for rolling an even number with one die

hichkok12 [17]

Answer:

3/6 or 1/2

Step-by-step explanation:

2, 4, 6 are even numbers, and half of the die

3 0

3 years ago

Find the other endpoint of the line segment with the given endpoint

baherus [9]

Answer:

(-9,5)

Step-by-step explanation:

the midpoint occurs 5 units to the right of the endpoint. using this we can deduce that the other endpoint should also be 5 units right to the midpoint

5 0

2 years ago

Please help me please I will really appreciate

Sladkaya [172]

Answer:

Step-by-step explanation:

If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:

180 - 114 = 66

Divide that in half so R = S = 33 degrees each

5 0

2 years ago