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faltersainse [42]
3 years ago
10

Please help! 12 points

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

Step-by-step explanation:

sin2x = 2sinx*cosx

         = 2\sqrt{sin^{2}x } * cosx

         = 2\sqrt{(1-cos^{2}x } * cosx

         = 2  \sqrt{1-\frac{3}{5} ^{2} } *\frac{3}{5}

         = \frac{8}{5}  * \frac{3}{5}  

         = 24/25        

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A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds
ehidna [41]

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

Component of each bag of brand x:

3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

Component of each bag of brand y:

4 pounds of nutrient a and 1 pound of nutrient b

Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden

3 0
3 years ago
A box measures 20 inches wide by 14 inches deep. The height of the box is two feet. What is the volume of the box? Remember two
Jobisdone [24]

Answer:

6,720 inches or 560 feet

Step-by-step explanation:

20 x 14 x 24 = said number above.

Remember volume is just length times width times height.

8 0
3 years ago
I gots some mathhhhh.<br> if you get all three done first then u get brainliest
Burka [1]

Answer:

will you write them? my school computer blocked the picture

Step-by-step explanation:

5 0
3 years ago
Point Q' is the image of Q(-7, -6) under the translation (x, y) + (x + 12, y + 8).
Lina20 [59]

Answer:

The co-ordinates of Q' is (5,2).

Step-by-step explanation:

Given:

Pre-image point

Q(-7,-6)

To find Image point Q' after following translation.

(x,y)\rightarrow (x+12,y+8)

Solution:

Translation rules:

Horizontal shift:

(x,y)\rightarrow (x+k,y)

when K>0 the point is translated k units to the right.

when K the point is translated k units to the left.

Vertical shift:

(x,y)\rightarrow (x,y+k)

when K>0 the point is translated k units up.

when K the point is translated k units down.

Given translation (x,y)\rightarrow (x+12,y+8) shows the point is shifted 12 units to the right and 8 units up.

The point Q' can be given as:

Q'=(-7+12,-6+8)=(5,2)

So, the co-ordinates of Q' is (5,2). (Answer)

7 0
3 years ago
Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.
Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x)      + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4)   +2  Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4      Combine the right.

y = (x^2 + 4x + 4) - 2            Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0
3 years ago
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