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Gre4nikov [31]
2 years ago
8

For questions 1-2, use the Reciprocal and Quotient Identities to find each value.​

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
8 0

By using the reciprocal identity the value   Sin \theta will be  \dfrac{5}{27}{

<h3>What is Reciprocal and Quotient Identities?</h3>

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

Cosec\theta = \dfrac{27}{5}

Now we have to find the reciprocal identity,

Sin\theta=\dfrac{1}{Cosec\theta}

Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }

Sin\theta=\dfrac{5}{27}

hence by using the reciprocal identity the value   Sin \theta will be  \dfrac{5}{27}{

To know more about Reciprocating identity follow

brainly.com/question/15769816

#SPJ1

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In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.
Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = \frac{1}{100}

The probability that the item is not defective = \frac{99}{100}

The probability that the fifth item is defective = \frac{1}{100}* \frac{98}{99}

                                                                            = 0.009899

Probability that one in 5 items is defective  = 0.005624

5 0
3 years ago
A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that
julsineya [31]

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

5 0
3 years ago
Elavter of using distuburting propties a. 17×102<br> b. 477×1035 -477×35​
V125BC [204]

Answer: a. 1734    b. 477000

Step-by-step explanation:

We know that,

Distributive property : a(b+c)  = ab+ac

a. 17 x 102

=  17 (100+2)

= 17 x 100 + 17 x 2  [Distributive property ]

= 1700+34

= 1734

b. 477×1035 -477×35​

= 477 (1035-35)  [Distributive property ]

= 477 (1000)

= 477000

3 0
3 years ago
Write x^2 + 6x -7 in the form (x+a)^2 +b where a and b are integers please
ANTONII [103]

Answer:

(x + 3) {}^{2}  - 16

Step-by-step explanation:

{x}^{2}  + 6x - 7 = (x  + 3)  {}^{2}  - (3) {}^{2}  - 7 \\  = (x + 3) {}^{2}  - 16

3 0
3 years ago
Which expression represents the volume of the pyramid? One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3 One-th
anyanavicka [17]

Answer:

1/3(5.2)h cm³

Step-by-step explanation:

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3

One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3

Volume of the pyramid = 1/3 × area × height

Area = 5.2 cm²

Height = h cm

Volume of the pyramid = 1/3 × 5.2 cm² × h cm

= 1/3(5.2)h cm³

7 0
3 years ago
Read 2 more answers
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