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2 years ago

What is -2(-6+1)=-2x-2(-5-x)

Mathematics

1 answer:

jeka57 [31]2 years ago

6 0

-2 ( -6 + 1 ) = -2x - 2 ( -5 - x )

12 - 2 = -2x + 10 + 2x

10 = 10

x is all real numbers

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Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te

denis-greek [22]

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

$\frac{b}{sin40}$ = $\frac{7}{sin35}$ ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = $\frac{7sin40}{sin35}$ ≈ 7.8 ( to the nearest tenth )

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1 year ago

Two experiments are to be performed. The first can result in any one of m possible outcomes. If the first experiment results in

Galina-37 [17]

Answer: The first experiment has M probabilities, and the second has I(m) outcomes, that depends on the result of the first.

And lets call m to the result of the first experiment.

If the outcome of the first experiment is 1, then the second experiment has 1 possible outcome.

If the outcome of the first experiment is 2, then the second experiment has 2 possibles outcomes.

If the outcome of the first experiment is M, then the second experiment has M possibles outcomes.

And so on.

So the total number of combinations C is the sum of all the cases, where we exami

1 outcome for m = 1

2 outcomes for m=2

M outcomes for m = M

C = 1 + 2 + 3 + 4 +...´+M

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2 years ago

After the closing of the mill, the town of Sawyerville experienced a decline in its population.

vfiekz [6]

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

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2 years ago

What is the value? I'm marking brainliest!!

tensa zangetsu [6.8K]

Answer:

103

Step-by-step explanation:

simplify to 81 + 27 - 5

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2 years ago

Read 2 more answers

What is the area of the logo?

Ludmilka [50]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

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2 years ago

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