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2 years ago

A, B & C form the vertices of a triangle.

Mathematics

1 answer:

patriot [66]2 years ago

8 0

Answer:

AC = 17.8

Explanation:

to figure out the length of AC, you want to put the values into the tangent function:

tan 64° = AC/8.7

Now to solve:

first swap them so you have AC/8.7 = tan 64°

Multiply both sides by 8.7 to get AC = 8.7 tan 64°

then calculate it

AC = 8.7 x 2.0503...

AC = 17.8376

AC = 17.8 (3 Significant Figures)

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Find the area of the circle. 12 ft

Ratling [72]

Answer:

Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

Diameter of circle = 12 feet

To Find:

Area of the circle

Using formula:

$\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}} \\ \\$

Where,

π = 3.14
Diameter = 12 feet
Radius = 12/2 = 6 feet

On substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2} \\ \\ \\$

Hence,

Area of the circle is 113.04 ft²

3 0

2 years ago

Read 2 more answers

The probability of an event is 3/10 . What are the odds of the same event?

kozerog [31]

Answer:

D. $\frac{3}{7}$

Step-by-step explanation:

We have been given that the probability of an event is 3/10.

To find the odds of the same event we will use formula:

$\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}$

Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.

$\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}$

$\text{Odds of the event}=\frac{3}{7}$

Therefore, the odds of the same event is $\frac{3}{7}$ and option D is the correct choice.

8 0

3 years ago

I do not get it because i never learned coefficient i

aleksley [76]

1/4

The coefficient is the number attached to a variable.

7 0

3 years ago

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the

Nitella [24]

Answer:

The solution to this system is (4, 1/6).

Step-by-step explanation:

Please separate these two equations for clarity. I like to write them in column format:

2.5y + 3x = 27

5x – 2.5y = 5

---------------------

8x = 32, and x = 4.

Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.

Then 20 - 2.5y = 5, or 15 = 2.5y. Solving for y, we get y = 1/6.

The solution to this system is thus (4, 1/6).

5 0

2 years ago

Read 2 more answers

Suppose that y is inversely proportional to square root of x.

FromTheMoon [43]

Answer:

i) k = 36.8

ii)y = 36.8/square root of x

iii)y = 1.4

Step-by-step explanation:

If y is inversely proportional to square root of x;

then the two variables are related by,

y = k/ square root of x

i)Value of k when...x = 8 and y = 13,

substitute into the equation above..so as to find the value of k

13 = k/square root of 8

;k = 13 × square root of 8

;k = 36.8

ii)Then substitute the value of k with...36.8

y = 36.8/square root of x

iii)If x = 27...then y =;

y = 36.8/27

y = 1.4

7 0

3 years ago