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2 years ago

Please answer >.<

Mathematics

1 answer:

gladu [14]2 years ago

5 0

Answer: the total amount of money that the investor would have after 6 years will be $ 536.04 :)

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Maria invests $6,154 in a savings

Anna [14]

Answer:

$13286.02

Step-by-step explanation:

100 + 8 = 108

108 / 100 = 1.08

6154 x $1.08^{10}$ = $13286.02

4 0

2 years ago

Read 2 more answers

26. Julie says that sin A/cos A = tan A and sin B / cos B = tan B. Use the triangle shown to prove

PSYCHO15rus [73]

Julie is correct because:

$\frac{\sin A}{\tan A}=\frac{a/c}{b/c}=a/b=\tan A \\ \\ \frac{\sin B}{\cos B}=\frac{b/c}{a/c}=b/a =\tan B$

5 0

1 year ago

Is 2/8 greater or less than 1/4

Alex17521 [72]

Its neither 2/8 is 1/4 simplified, therefore 2/8 is = 1/4

Hope this helped!

4 0

3 years ago

Read 2 more answers

In rhombus ABCD, the diagonal line AC and line BD intersect at E. If AE=5 and BE = 12, what is the length of line AB?

Reika [66]

From a formula located here:
http://www.1728.org/quadltrl.htm
we see that
4 • Side² = Long Diagonal² + Short Diagonal²
Long Diagonal = 24
Short Diagonal = 10
4 • Side² = 24^2 + 10^2 
4 • Side² = 576 + 100
4 • Side² = 676
Side² = 169
Side (or line AB) = 13

8 0

3 years ago

Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.

nikitadnepr [17]

Answer:

* sin Ф = -15/17 * cos Ф = 8/17 * tan Ф = -15/8

* csc Ф = -17/15 * sec Ф = 17/8 * cot Ф = -8/15

Step-by-step explanation:

Lets revise the trigonometric function of angle Ф

- Angle θ is in standard position

- Point (8, -15) is on the terminal ray of angle θ

- That means the terminal is the hypotenuse of a right triangle x and y

are its legs

∵ x-coordinate is positive and y-coordinate is negative

∴ angle Ф lies in the 4th quadrant

- The opposite side of angle Ф is the y-coordinate of the point on the

terminal ray of angle Ф and the adjacent side to angle Ф is the

x-coordinate of that point

∵ The length of the hypotenuse (h) = √(x² + y²)

∴ h = √[(8)² + (-15)²] = √[64 + 225] = √[289] = 17

∴ The length of the hypotenuse is 17

- Lets find sin Ф

∵ sin Ф = opposite/hypotenuse

∵ The opposite is y = -15

∵ The hypotenuse = 17

∴ sin Ф = -15/17

- Lets find cos Ф

∵ cos Ф = adjacent/hypotenuse

∵ The adjacent is x = 8

∵ The hypotenuse = 17

∴ cos Ф = 8/17

- Lets find tan Ф

∵ tan Ф = opposite/adjacent

∵ The opposite is y = -15

∵ The adjacent = 8

∴ tan Ф = -15/8

- Remember csc Ф is the reciprocal of sin Ф

∵ csc Ф = 1/sin Ф

∵ sin Ф = -15/17

∴ csc Ф = -17/15

- Remember sec Ф is the reciprocal of cos Ф

∵ sec Ф = 1/ cos Ф

∵ cos Ф = 8/17

∴ sec Ф = 17/8

- Remember cot Ф is the reciprocal of tan Ф

∵ cot Ф = 1/tan Ф

∵ tan Ф = -15/8

∴ cot Ф = -8/15

5 0

3 years ago