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Assoli18 [71]
3 years ago
7

Find the exact value of tan(theta) for an angle (theta) with sec(theta) = 3 and with its terminal side in Quadrant I.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

c

Step-by-step explanation:

1 + tan²theta = sec²theta

tan²theta = 3² - 1

tan²theta = 8

tan theta = sqrt(8)

Positive because Quadrant 1

sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)

= 2×sqrt(2)

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How many books can be stacked on top of one another inside a cupboard 1.21 m high on the inside, knowing that the thickness of e
kvasek [131]

Answer:

10 books approx

Step-by-step explanation:

Step one:

Given data

Hight of cupboard= 1.21m

Thickness of book= 12.5cm

thickness in meters= 12.5/100= 0.125m

Required

The number of books need to fill the Cupboard

Step two:

the number of books can be computed as

= 1.21/0.125

=9.68 book

=10 books approx

4 0
3 years ago
Shapes I and II are <br> neither congruent nor similar<br> .
GarryVolchara [31]

Answer: They are similar but not congruent.

Step-by-step explanation: hope this help

7 0
3 years ago
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elixir [45]

Answer:

x=7, -2.

Step-by-step explanation:

x^2-5x=14

x^2-5x-14=0

factor out the trinomial,

(x-7)(x+2)=0

zero property,

x-7=0, x+2=0,

x=0+7=7,

x=0-2=-2

8 0
3 years ago
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Radium-226 is a metal with a half-life of 1600 years. If you start with 1 kilogram of radium-226, how much will remain after 20,
erica [24]
Ending Amount = Beginning Amount / 2^n 
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives

Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg / <span> <span> <span> 5,792.6
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6 0
4 years ago
-9(x+2)=54 apply the distributive property and simplify ​
Tomtit [17]

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

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x = -8

Hope this helps :)

Let me know if there are any mistakes!!

8 0
3 years ago
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