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Anestetic [448]
3 years ago
10

Cos45*/sec30*+cosec60*​

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
7 0

Answer:

= (√3+4√2)/2√6

Step-by-step explanation:

To evaluate cos45*/sec30*+cosec60*​

First according to trigonometry identity

sec 30 = 1/cos30

cosec 60 = 1/sin60

Substitute

cos45*/sec30*+cosec60*​

= cos45/(1/cos30) + 1/sin60

= cos45coss30 + 1/sin60

= 1/√2 * √3/2 + 1/(√3/2)

= √3/2√2 + 2/√3

= (√9+4√2)/2√6 +

= (√3+4√2)/2√6

Svetradugi [14.3K]3 years ago
3 0

Answer:

hi

telangana na India na

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Part 1:\frac{5x^{3} + 10x^{2} + 15x}{5x} = \frac{5x^{3}}{5x} + \frac{10x^{2}}{5x} + \frac{15x}{5x} = x^{2} + 2x + 3
The answer is C.

Part 2:\frac{3x^{4} + 5x^{2} + 2x}{x} = \frac{3x^{4}}{x} + \frac{5x^{2}}{x} + \frac{2x}{x} = 3x^{3} + 5x + 2
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8 0
4 years ago
Consider the equation below.
Korvikt [17]

Answer:

Equation in square form:

y=3(x+5)^2-4

Extreme value:

(h,k)=(-5,-4)

Step-by-step explanation:

We are given

y=3x^2+30x+71

we can complete square

y=3(x^2+10x)+71

we can use formula

a^2+2ab+b^2=(a+b)^2

y=3(x^2+2\times x\times 5)+71

now, we can add and subtract 5^2

y=3(x^2+2\times x\times 5+5^2-5^2)+71

y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71

y=3(x+5)^2-75+71

So, we get equation as

y=3(x+5)^2-4

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

y=a(x-h)^2+k

where

vertex=(h,k)

now, we can compare and find h and k

y=3(x+5)^2-4

we get

h=-5

k=-4

so, extreme value of this equation is

(h,k)=(-5,-4)

6 0
4 years ago
Read 2 more answers
Can someone help me with these 2 questions real quick?
k0ka [10]

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

8 0
3 years ago
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The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes
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Answer:

The first submarine needs to travel at a rate of [-180 – (-1,320)] ÷ 60 = 19 feet per minute.

The second submarine needs to travel at a rate of [-180 – (-1,440)] ÷ 60 = 21 feet per minute.

21 – 19 = 2, so the second submarine must travel 2 feet per minute faster than the first sub.

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3 years ago
5.
Vlada [557]

Answer: 1.26 inches

explanation :

because if you subtract 7 by 3.2 you'll get

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6 0
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