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3 years ago

Please help me Tramserran mam...

Mathematics

1 answer:

n200080 [17]3 years ago

4 0

Answer: see proof below

Step-by-step explanation:

Use the following when solving the proof...

Double Angle Identity: cos2A = 1 - 2sin²B

Pythagorean Identity: cos²A + sin²A = 1

note that A can be replaced with B

Proof from LHS → RHS

Given: cos²A + sin²A · cos2B

Double Angle Identity: cos²A + sin²A(1 - 2sin²B)

Distribute: cos²A + sin²A - 2sin²A·sin²B

Pythagorean Identity: 1 - 2sin²A·sin²B

Pythagorean Identity: cos²B + sin²B - 2sin²A·sin²B

Factor: cos²A + sin²B(1 - 2sin²A)

Double Angle Identity: cos²B + sin²B · cos2A

cos²B + sin²B · cos2A = cos²B + sin²B · cos2A $\checkmark$

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nikitadnepr [17]

ANSWER: Hench, Range is 28.8 to 33.2

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3 0

3 years ago

17. Find the ratio of the perimeter to the area of the square shown. x + 3 x + 3

Serga [27]

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

(x+3)(x+3)

7 0

3 years ago

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter

Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

$H=-4.9t^2+5t+2$

The ball will hit the ground when h=0

$-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}$

3 0

3 years ago

Keira , larry and gita picked apples at an orchard. keira picked twice as many pounds as larry and 3 times as many as gita. the

Natalija [7]

Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
   = 4560/2
   = 2280
G = K/3
   = 4560/3
   = 1520
Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple

7 0

3 years ago

It costs $74 per hour plus a $65 service fee to have a home theater system set up for you. Let t represent the number of hours.

ki77a [65]

Answer:

74t + 65= total cost

Step-by-step explanation:

74 is the amount per hour, so you would need to multiply that by the number of hours they work (74t) and the 65 is a set fee (does not change based on the amount of service) so you just add that on

8 0

3 years ago

Please help me Tramserran mam...​

Please help me Tramserran mam...