<img src="https://tex.z-dn.net/?f=%20-%203p%20-%2010%20%3E%2014" id="TexFormula1" title=" - 3p - 10 > 14" alt=" - 3p

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Alina [70]

3 years ago

; 14" align="absmiddle" class="latex-formula">
................

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

p < -8

Step-by-step explanation:

i hope this helps :)

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4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the

Vitek1552 [10]

Answer:

C. 0.08889

Step-by-step explanation:

Total number of marbles:

5 + 2 + 1 + 2 = 10

There are two possibilities

Orange then green or green the orange

The probabilities are:

P(o&g) = 2/10*2/9 = 2/45
P(g&o) =2/10*2/9 = 2/45

Required probability is:

P = 2/45*2 = 4/45 = 0.08889

Correct choice is C

4 0

2 years ago

two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s

Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

$diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)$

$diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)$

$diagonal^2 = 53.284$

$diagonal = 7.3\ meters$

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

$a / sin(A) = b/sin(B)$

$5 / sin(A) = diagonal / sin(130)$

$sin(A) = 5 * sin(130) / 7.3$

$sin(A) = 0.5247$

$A = 31.65\°$

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

7 0

3 years ago

What is the measure of <R?

Verdich [7]

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

7 0

3 years ago

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

Sergeu [11.5K]

Answer:

129 and 51 degrees.

Step-by-step explanation:

Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.

tan x = 12.4 / 26

x = 25.497 degrees.

The other angle will be 90 - 25.497

= 64.503 degrees.

One of the diagonal angles is 180 - (2*25.497)

= 129 degrees

and the other is 180 - 129 = 51 degrees.

8 0

3 years ago

Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her

stira [4]

The answer is -125+85= -40 because she is adding -125 by 85 which equals-40

4 0

3 years ago