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Over [174]
2 years ago
10

Using trig to solve for missing angle

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Answer:

x = 14.0902 <em>(After rounding to the nearest ten-thousandth)</em>

Step-by-step explanation:

Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:

Sin(69) = Opp/Hyp

Sin(69) = 14/x

0.9336 = 14/x

0.9336(x) = 14/x(x)

0.9336x = 14

0.9336x/0.9336 = 14/0.9936

<u>x = 14.0902</u>

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Please solve quickly
Sloan [31]

The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.

<h3>What degenerate conic is formed?</h3>

When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.

Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.

Find out more on degenerate conics at brainly.com/question/14276568

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8 0
2 years ago
A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15
Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

A= P(1+\frac{r}{n})^{nt}

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

A= P(1+\frac{r}{n})^{nt}

1500= 1200(1+\frac{0.02}{4})^{4t}

Dividing both sides by 1200 and solving 0.02/4 = 0.005

1.25= (1+0.005)^{4t}

1.25= (1.005)^{4t}

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years

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3 years ago
Alex purchased a 6-hour calling card. He has used t minutes of access time. Wrote an algebraic expression to represent how many
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T= Mins
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3 years ago
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Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

7 0
3 years ago
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