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3 years ago

Find the exact value of sin theta/12

Mathematics

1 answer:

Elena-2011 [213]3 years ago

8 0

Answer:sin

−

120

169

and

cos

−

119

169

Explanation:

sin

−

i.e. negative and

cos

is positive,

lies in

i.e.

cos

√

−

(

−

)

−

√

−

144

169

√

169

Hence,

sin

cos

(

−

)

−

120

169

and

cos

−

sin

169

−

144

169

−

119

169

Step-by-step explanation:

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Help! 6th grade fractions math!!

Mrac [35]

Each "x" on the number line seems to represent a tree that sap has been collected from. That's 15 trees. Furthermore, you know that the total amount of sap is 8 gallons, because it's stated in the question.
To get the amount of sap that would be collected from each tree if it had been distributed equally (also known as the average amount of sap collected from each tree), just do exactly that.
Mathematically, this means you would divide the 8 gallons by 15 trees, or 8 ÷ 15. The total amount of sap collected is equivalent to an average of eight fifteenths of a gallon per tree.
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3 years ago

Read 2 more answers

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allochka39001 [22]

Part A

Converse = "If corresponding angles are equal, then two lines are parallel"
Result = True

Explanation:

Refer to the converse of the corresponding angles theorem. The original version is stated as part A, and the converse is marked in bold above.

Conditional statements are of the form "if this, then that". Symbolically we can use the template "If P, then Q". The P and Q are placeholders for logical statements.

The converse of "if P, then Q" is "If Q, then P". We swap the positions of P and Q. Do not negate either piece.

========================================================

Part B

Converse = "If angle C is 70 degrees, then the sum of angles A and B is 110 degrees"
Result = True

Explanation:

Recall that for any triangle, the three interior or inside angles always add to 180 degrees. In short: A+B+C = 180. If C = 70, then A+B = 180-C leads to A+B = 180-70 and A+B = 110. This process can be reversed.

========================================================

Part C

Converse = "If two lines are not parallel, then alternate interior angles k and s are not equal"
Result = True

Explanation:

For more information, check out the converse of the alternate interior angles theorem. The regular version of the theorem is "If two lines are parallel, then the alternate interior angles are congruent".

The converse of this theorem flips things to say: "If alternate interior angles are congruent, then the lines are parallel".

========================================================

Part D

Converse = "If John loses his money, then he throws coins in the fountain"
Result = False

Explanation:

Throwing coins in a fountain is one way to lose money, but there are other ways. He could drop a coin somewhere, or leave the coin somewhere he forgot.

In other words, just because he lost his money does not mean he threw a coin in the fountain.

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2 years ago

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard

lilavasa [31]

Answer:

Method A.

Step-by-step explanation:

For solving this question we need to find out the z-scores for both methods,

Since, the z-score formula is,

$z=\frac{x-\mu}{\sigma}$

Where, $\mu$ is mean,

$\sigma$ is standard deviation,

Given,

For method A,

$\mu = 33$

$\sigma=8$

Thus, the z score for 34 is,

$z_1=\frac{34-33}{8}=0.125$

While, for method B,

$\mu = 37$

$\sigma = 4$

Thus, the z score for 34 is,

$z_2=\frac{34-37}{4}=-0.75$ ,

Since, $z_1 > z_2$

Hence, method A is preferred if the procedure must be completed within 34 minutes.

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4 years ago

What integer is equivalent

inna [77]

9^(3/2)=
$\sqrt[2]{ {9}^{3} } = \sqrt[2]{729} = 27$

6 0

3 years ago

In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households. (a) Describe the

sattari [20]

Answer:

(a) The distribution of the sample proportion is Normal distribution.

(b) The probability that in this sample of 150 households that more than 50% own a 4K television is 0.00012.

Step-by-step explanation:

We are given that in the United States, 35% of households own a 4K television.

Suppose we take a random sample of 150 households.

Let $\hat p$ = sample proportion of households who own a 4K television.

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of households own a 4K television = 35%

n = sample of households = 150

(a) The distribution of the sample proportion is related to the Normal distribution.

(b) Probability that in this sample of 150 households more than 50% own a 4K television is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{ 0.50-0.35}{\sqrt{\frac{0.50(1-0.50)}{150} } }$ ) = P(Z > 3.67) = 1 - P(Z $\leq$ 3.67)

= 1 - 0.99988 = 0.00012

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 3.67 in the z table which has an area of 0.99988.

Therefore, probability that in this sample of 150 households more than 50% own a 4K television is 0.00012.

8 0

3 years ago