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2 years ago

In △ABC, a = 4, b = 5, and ∠C = 110°. Find the length of the the median to the longest side

1 answer:

5 0

The expert phase is different for different tasks. The calculator tries to calculate the sizes of three sides of the triangle from the entered data. He gradually applies the knowledge base to the entered data, which is represented in particular by the relationships between individual parameters of the triangle. These are successively applied and combined, and the parameters of the triangle calculate. Calculator iterate until the triangle has calculated all three sides. For example, the appropriate height is calculated from the given area of the triangle and the corresponding side. From the known height and angle, the adjacent side, etc., can be calculated. They use knowledge, e.g., formulas (relations) Pythagorean theorem, Sine theorem, Cosine theorem, Heron's formula, solving equations and systems of equations.The second stage is the calculation of the properties of the triangle from the known lengths of its three sides.

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3. Which of the following has a value that is

Luda [366]

Answer:

d) -72

Step-by-step explanation:

The value of negative integers is always less than zero.

So, (-72) is the answer

(-6)² = (-6) * (-6) = 36. Which is greater than 0

7 0

3 years ago

Please help soon! Will give 5 starts, thanks, and brainliest! Thank you! The hypotenuse of a right triangle measures 6sqrt(2) in

givi [52]

Answer:

Area = 18 sq. inches

Step-by-step explanation:

Hypotenuse = 6√2

as it is a right angled triangle and one of the angles is 45°,

=> the other angle is also 45°.

According to 45°-45°-90° theorem,

the side is 1/√2 times the hypotenuse.

Therefore, side = 6√2 × 1/√2

=6 inches.

Area of triangle = 1/2 × base × height

= 1/2 × 6 × 6

= 1/2 × 36

=18 sq. inches

3 0

3 years ago

Read 2 more answers

Which table represents the graph of a logarithmic function in the form y-log, when : > 1?

muminat

Looked it up & the answer is -1.9

5 0

3 years ago

The angle of depression from a descending airplane to the control tower below is 60∘.

dybincka [34]

Answer:

The answer is B) 20,207 ft

Step-by-step explanation:

6 0

3 years ago

A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose the outer perimeter of such a window must

Feliz [49]

The base length that will maximize the area for such a window is 168.03 cm. The exact largest value of x when this occurs is 233.39 cm

Suppose we make an assumption that:

(x) should be the width of the rectangle base;
(h) should be the height of the rectangle

Also, provided that the diameter of the semi-circle appears to be the base of the rectangle, then;

the radius $\mathbf{r = \dfrac{x}{2}}$

and, the perimeter of the window can now be expressed as:

$\mathbf{x + 2h + \pi r = x + 2h + \dfrac{\pi x }{2}}$

$\mathbf{= \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h}$

Given that the perimeter = 600 cm

∴

$\mathbf{ \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h= 600}$

$\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x}$

Since h > 0, then:

$\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x>0}$

By rearrangement and using the inverse rule:

$\mathbf{ x< \dfrac{ 300}{\Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) } }$

$\mathbf{ x= \dfrac{ 1200}{\Big( 2 +\pi \Big) } }$

$\mathbf{ x= 233.39 \ cm }$

Thus, the largest length x = 233.39 cm

However, the area of the window is given as:

$\mathbf{A(x) = xh + \dfrac{1}{2} \pi r^2}$

$\mathbf{A = x \Big [ 300 - \Big ( \dfrac{1}{2}+\dfrac{1}{4} \Big) x \Big ] +\dfrac{1}{2}\pi \Big(\dfrac{x}{2} \Big )^2}$

$\mathbf{A (x) = 300x - \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ cm^2}$

Now, at maximum, when the area A = 0. Taking the differentiation, we have:

$\mathbf{\dfrac{d}{dx} 300x - \dfrac{d}{dx} \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ =0}$

$\mathbf{ 300 - 2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \ =0}$

Making x the subject of the formula, we have:

$\mathbf{x = \dfrac{1200}{4 +\pi}}$

x = 168.03 cm

Taking the second derivative:

$\mathbf{\dfrac{d}{dx} \Big [300 -2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \Big]}$

$\mathbf{= -2 \Big( \dfrac{1}{2}+\dfrac{\pi}{8}\Big )$

Therefore, we can conclude that the maximum area that exists for such a window is 168.03 cm

Learn more about derivative here:

brainly.com/question/9964510?referrer=searchResults

6 0

3 years ago