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3 years ago

8

Find the exact value of tan 5 π. -1 0 1 undefined

1 answer:

Dimas [21]3 years ago

6 0

Answer:

0

Step-by-step explanation:

tan 5 π

Remove full rotations of 2 π until the angle is between 0 and 2 π . tan π

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. tan 0 The exact value of tan 0 is 0 . Multiply 1 by 0 .

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A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.

ArbitrLikvidat [17]

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

3 0

2 years ago

Read 2 more answers

Find the solutions to the equation below 30x^2-28x+6 =0

Naddik [55]

For this case, we have the following equation of the second degree:

$30x ^ 2-28x + 6 = 0$

If we divide between 2 on both sides of the equation, we will have:

$15x ^ 2-14x + 3 = 0$

Where:

$a = 15\\b = -14\\c = 3$

The solutions will come from:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Substituting:

$x = \frac {- (- 14) \pm \sqrt {(- 14) ^ 2-4 (15) (3)}} {2 (15)}\\x = \frac {14 \pm \sqrt {196-180}} {30}\\x = \frac {14 \pm \sqrt {16}} {30}\\x = \frac {14 \pm4} {30}$

So, we have:

$x_ {1} = \frac{14 + 4} {30} = \frac {18} {30} = \frac {18} {30} = \frac {3} {5}\\x_ {2} = \frac {14-4} {30} = \frac {10} {30} = \frac {1} {3}\\$

Answer:

$x_ {1} = \frac {3} {5}\\x_ {2} = \frac {1} {3}$

Option A

Option E

6 0

3 years ago

Read 2 more answers

Family paid $24,000 as a down payment for a home if this represents 12% of the price of the home, find the price of the home.

gizmo_the_mogwai [7]

Answer:

$200,000

Step-by-step explanation:

Down payment = $24,000

Given that $24,000 is 12% of the price.

12% = $24000

1% = 24000 ÷ 12 = $2000

Price of the house

= 2000 x 100%

= $200,000

8 0

3 years ago

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Which equation has the steepest parabola?

ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

$(y-k)=n(x-h)^2$

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

$\dfrac{1}{n}(y-k)=(x-h)^2$

$p(y-k)=(x-h)^2$

where $p=\dfrac{1}{n}$ , the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, $|-0.5|=0.5$

For option B, $|5|=5$

For option C, $|8|=8$

For option D, $|-10|=10$

Since, the equation is option A has smallest value of |p|, therefore, the equation $(x+2)^2=-0.5(y+3)$ represents the steepest parabola.

Hence, the correct option is A.

7 0

3 years ago

a. A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college s

lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

$P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%$

The probability is 0.01083 or 1.083%.

8 0

3 years ago