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Ivahew [28]
3 years ago
13

Help with trigonometry​

Mathematics
1 answer:
diamong [38]3 years ago
4 0

Answer:

cos ∠CBD = - 4√41 / 41

Step-by-step explanation:

AB = 4      ΔABC = (4 x AC) / 2 = 10

AC = 5

BC = √5² + 4² = √41

cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA

(cos 180° = - 1          sin 180° = 0       cos ∠CBA = 4 / √41 )

cos ∠CBD = (-1) x cos  ∠CBA = - 4 / √41 = - 4√41 / 41

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What is the minimum value for the function shown in the graph? Enter your answer in the box. A sinusoid function graphed on a co
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The sinusoidal function graph has a period of 2·π and a minimum point

with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...

Response:

  • The minimum value of the function is -6

<h3>How to find the minimum value of a function?</h3>

The minimum value of a function is the lowest vertex value of the

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The given graph description, is the graph of the following function;

f(t) = 0.5·sin(t) - 5.5

The minimum value is given at the location where, sin(t) = -1, which gives;

f(t) = 0.5 × (-1) - 5.5 = -6

The minimum value of the function is therefore;

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Learn more about the graphs of functions here:

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8 0
2 years ago
You deposit $2000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30
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The amount that will be in the account after 30 years is $188,921.57.

<h3>How much would be in the account after 30 years?</h3>

When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.

The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit

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2 years ago
At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

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0 = 8x^2 + 6x + 1 - 35^2

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Does this factor?

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x = 12

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Note: I used the quadratic formula to solve this.

6 0
3 years ago
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