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Alexxx [7]
1 year ago
14

Answer these 4 for me please help me step by step

Mathematics
1 answer:
tangare [24]1 year ago
6 0

4.

The equation we have is:

\frac{8}{5}a=-6

To solve for "a", we want to isolate it in one side.

For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:

\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}

Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":

\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}

And that is the answer to 4.

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Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
asambeis [7]

Answer:

(15°, 165°)

Step-by-step explanation:

Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval  [0, 2π]

Given

6 sin2(x) = 3,

Divide both sides by 6

6 sin2(x)/6 = 3/6

sin2(x) = 1/2

2x = sin^-1(0.5)

2x = 30°

x = 30°/2

x = 15°

Since sin is positive in the second quadrant, x2 = 180-15

x = 165°

Hence the values within the interval are 15 and 165.

(15°, 165°)

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3 years ago
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kirill [66]

-the equation is a quadratic

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enyata [817]
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A running group has 38 members. Each group member completed half marathon (13.1 miles). The average time to complete is 110 minu
Vikki [24]

Answer:

They took 4,180 minutes total to complete the course.

Step-by-step explanation:

The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:

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They took 4,180 minutes total to complete the course.

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IgorLugansk [536]

Answer:

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Step-by-step explanation:

Standard form is written this way: Ax+By=C

However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.

So, to do this, we have to combine like terms.

The only like terms that can be combined are -4x and 8x.

So, we add 4x to both sides, and we get: 12x - 3y = 6.

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2 years ago
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