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2 years ago

11

The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, the

n sin∠CBD = as well. Using the definition of sine, what is AB? Show your work

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:

Exact answer

Step-by-step explanation:

You might be interested in

Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

<em>A=3 and B=6</em>

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

Find the measure of an interior angle and exterior angle of a regular 24gon

Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0

2 years ago

PLEASE HEEEELLLLPPP

Anni [7]

Answer:

The answer is 4

Step-by-step explanation:

5 0

3 years ago

One serving of the food product contains 1g total saturated fat or 5% daily value (DV) for saturated fat. What is the daily valu

Leona [35]

Answer:

The daily value for saturated fat is 20g.

Step-by-step explanation:

Percentage problems can be solved by rule of three

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:

1g - 5%

xg - 100%

5x = 100

$x = \frac{100}{5}$

x = 20g

The daily value for saturated fat is 20g.

6 0

3 years ago

Find the volume of this sphere.<br> Use 3 for TT.<br> V ≈ [?]in³<br> V = πr³<br> 5in<br> Entering

nydimaria [60]

Answer:

500

Step-by-step explanation:

r = 5

r³ = 125

V = (4/3)pi(r³)

pi = 3

V = (4/3)3(125)

/3 and x3 cancel

V = 4 x 125

V = 500

6 0

2 years ago