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3 years ago

Find the value of tan Х 45° 315 Please help me ASAP please

Mathematics

1 answer:

Zanzabum3 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

The right triangle is isosceles, so x = 45° and tan(x) = 1.

You can determine tan(x) either from your knowledge of trig function values, or from the fact that the two legs of the triangle are of equal length. The tangent is the ratio of the opposite leg to the adjacent one. When those legs are the same, the ratio is 1.

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What is the area of ABC?

notsponge [240]

Let D be the Intersection of Height of the Triangle and Base of the Triangle BC

From the Figure, We can notice that Triangle ADB is a Right angled Triangle.

We know that, In a Right angled Triangle :

$\bigstar$ (Hypotenuse)² = (First Leg)² + (Second leg)²

In Triangle, ADB : AB is the Hypotenuse, AD is the First leg and BD is the Second leg

Given : AB = 15 and BD = 9

Substituting the values, We get :

$:\implies$ (15)² = (AD)² + (9)²

$:\implies$ 225 = (AD)² + 81

$:\implies$ (AD)² = 225 - 81

$:\implies$ (AD)² = 144

$:\implies$ (AD)² = (12)²

$:\implies$ AD = 12

We know that, In a Right angled Triangle :

$\bigstar\;\;\boxed{\mathsf{Tan\theta = \dfrac{Opposite\;Side}{Adjacent\;Side}}}$

Now, Consider Triangle ADC : With respect to 45° Angle, AD is the Opposite Side and DC is the Adjacent Side

$:\implies \mathsf{In\;Triangle\;ADC,\;Tan45^{\circ} = \dfrac{AD}{DC}}$

$\mathsf{:\implies 1 = \dfrac{12}{DC}}$

$:\implies$ DC = 12

$:\implies$ Total Length of the Base (BC) = BD + DC

$:\implies$ Total Length of the Base (BC) = 9 + 12

$:\implies$ Total Length of the Base (BC) = 21

We know that, Area of the Triangle is given by :

$\bigstar\;\;\boxed{\mathsf{Area = \dfrac{1}{2} \times Base \times Height}}$

In Triangle, ABC : AD is the Height and BC is the Base

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times BC \times AD}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times 21 \times 12}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = (21 \times 6)}$

$:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = 126}$

7 0

3 years ago

Hell with steps please

nadezda [96]

Answer:

the answer would be A

Step-by-step explanation:

7 0

3 years ago

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3)

alekssr [168]

The points on the graph of (-4, 0), (-2.5, -12), and (0, -3), gives;

F(x) > 0 over the interval (-∞, -4)

<h3>Which method can be used to find the true statement?</h3>

From the description of the graph, we have;

Furthest point left of the graph = (-4, 0)

The furthest point right on the graph = (0, -3) = The maximum point

The minimum point = (-2.5, -12)

F(x) < 0 at the minimum point

The minimum point is to the right of x = -4

The point the graph crosses the y-axis = (0, -3)

Therefore;

The interval of the graph where F(x) is larger than 0 is to the left of (-4, 0), is the interval (-∞, -4)

The true statement is therefore;

F(x) > 0 over the interval (-∞, -4)

Learn more about graphs of functions here:

brainly.com/question/13936209

#SPJ1

8 0

2 years ago

Ben is 5 years less than 3 times Gracie's age. How can that be represented as an expression?<br>

Tanzania [10]

You can write 5 times 3

7 0

3 years ago

A pool has an area of 1,275 m2 and a width of 25 1/2 m. What is the length of the pool.

lisov135 [29]

Answer:

50m is the length of the pool

Step-by-step explanation:

area= length * width

length= area/ width

1275/ 25.5 = 50

5 0

3 years ago