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kakasveta [241]
3 years ago
14

If you know that cosine of the obtuse supplementary angle -0.3456 what can you determine about the acute angle

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer:

69.8°

Step-by-step explanation:

Since cosФ = -0.3456

Ф = cos⁻¹(-0.3456)

Ф = 110.2°

Since the angles are supplementary, let the acute angle be x

So, x + 110.2° = 180°

x = 180° - 110.2°

x = 69.8°

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
masha68 [24]

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

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On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

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3 years ago
Each row in the table shows how a picture was enlarged or reduced.
murzikaleks [220]

Answer:

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8 0
3 years ago
Read 2 more answers
I need help on this question pls!
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Answer:103

Step-by-step explanation: find the av and then add till u git a nuber u like and submit it

5 0
2 years ago
Read 2 more answers
PLEASE HELP!!
Tems11 [23]
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