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3 years ago

Could someone please help with this?

Mathematics

1 answer:

saveliy_v [14]3 years ago

5 0

9514 1404 393

Answer:

5. 88.0°

6. 13.0°

7. 52.4°

8. 117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

Additional comment

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

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Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the

8_murik_8 [283]

So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t) = 0. Namely, what is "t" when h(t) is 0?

$\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}$

clearly the seconds cannot be a negative unit, so is not -3/2.

6 0

3 years ago

Cancel the common factor of the numerator and the denominator and write specified expression

lisabon 2012 [21]

Step-by-step explanation:

Hello,

I hope you mean to cancel the common factor that exists in numerator and denominator,right.

so, Let's look for the common factor, 

here, the expression is, 

=4(x-2)/ (x+5)(x-2)

so, here we find the common factor is (x-2)

now, we have to cancel it. And after cancelling we get,

=4/(x+5)

Note:{ we cancel the common factor if the common factors are in multiply form.}

Hope it helps 

3 0

3 years ago

What is (-33x-78)+(5x8x9x10)divided by9.75

kherson [118]

Answer:

6,174

Step-by-step explanation:

(-33 * - 78) + (5 * 8 * 9 * 10)

Remove the brackets:

-33 * - 78 + 5 * 8 * 9 * 10

Solve like so:

-33 * - 78 = 2,574

5 * 8 * 9 * 10 = 3,600

(2,574) + (3,600)

2,574 + 3,600 = 6,174

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Schach [20]

Answer:

5000

Step-by-step explanation:

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Reggie’s bank is offering a checking account for anyone who has more than 1000. He deposits 3200 into the account at a rate of 4

timama [110]

Answer: 384

Step-by-step explanation:

4/100×3200×3yrs

=128

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3 years ago