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2 years ago

Write sin 29 degrees 32 minutes in terms of it cofunction

Mathematics

1 answer:

12345 [234]2 years ago

5 0

Answer:

Sin 29° 32' = Cos 60° 28'

Step-by-step explanation:

Here in this problem, we have to write Sin 29° 32' in terms of its co-function.

We know that co-function of Sin Ф = Cos ( 90° - Ф ).

Therefore, we have to find a complementary angle of 29° 32'.

So, ( 90° - 29° 32' ) = 60° 28'

Therefore, Sin 29° 32' = Cos 60° 28' ( Answer )

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Translate the following phrase to an expression. Then, evaluate the expression for n= 3.

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

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2 years ago

A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats

marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = Number of hits made by a baseball player

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......$

where, n = number of trials (samples) taken = 7 at-bats

r = number of success = exactly 2 hits

p = probability of success which in our question is batting average

of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

P(X = 2) = $\binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}$

= $21 \times 0.25^{2} \times 0.75^{5}$

= 0.3115

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3 years ago

Which of the following relationships represents a function?

belka [17]

Answer: c

Step-by-step explanation:

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2 years ago

Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she

Korolek [52]

Yvonne ran up 12 flights of stairs.

Explanation:
Understand the situation:

Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?

When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4

To add someting, that means that the 9 stairs is 3/4 of the total stairs, so lets fins the total stairs using this information:
9 ÷ 3/4 = 12

LETS CHECK IF 9 IS REALLY 3/4 of 12:
12 x 3/4 = 9

HOPE THIS HELPS
-SpaceMarsh

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2 years ago

Simplify this expression: cos t(sec t − cos t)

Nostrana [21]

$\cos t \, (\sec t - \cos t)$
$= \cos t \, (\frac{1}{\cos t} - \cos t)$
$= 1 - \cos^2 t$
$= \bf sin^2 t$

5 0

3 years ago

Read 2 more answers