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Black_prince [1.1K]
3 years ago
12

69 (-7 •9) how do i expand this

Mathematics
1 answer:
Schach [20]3 years ago
8 0
I think you would expand it like this but I am not 100% positive.
(69 * -7) * (69 * 9)
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cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta
NikAS [45]
First calculate \sin\theta.

\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
5 0
3 years ago
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Which ordered pair is in the solution set of the system of linear inequalities? y &gt; x – 1 y &lt; x – 1
suter [353]
There are no possible answers to this. 
3 0
3 years ago
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If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C=
olga nikolaevna [1]

Answer:

The value of the slope in this equation is 50

The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50

Step-by-step explanation:

To answer this question, we need to compare the given equation with the equation of a straight line graph.

The equation we have is;

c = 50g + 75

comparing this with the equation of a straight line, we have

y = mx + c

where m represents the slope and c is the y-intercept

So comparing both, the slope of the equation is 50.

The slope is always the co-efficient of the value on the x-axis

So what does this mean?

The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.

So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50

3 0
3 years ago
If two consecutive numbers<br> add up to 8815, what are the<br> numbers?
Svet_ta [14]

answer : 4407,4408

because 8815/2 = 4407.5 so you take away the .5 to find one number and you add .5 for the other

7 0
3 years ago
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ANSWER ASAP PLEASE!!! TY:)​
ANEK [815]

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

7 0
3 years ago
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