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3 years ago

I need help with this asap.

Mathematics

1 answer:

KatRina [158]3 years ago

6 0

Answer:

X = 29.9

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Selecting the angle of 18°:

Tangent Ratio:

$\displaystyle \tan 18^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 18^\circ=\frac{X}{92}$

Solving for X:

$\displaystyle X=92\tan 18^\circ$

Operating:

$\displaystyle X=92*0.325$

X = 29.9

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The vertical of three squares are joined to form a right triangle , what is the area of the largest square

lakkis [162]

Answer:

43cm²

Step-by-step explanation:

let's first consider the area of a square.

the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.

so to find the side of the square using the area, we take the square root of both of the area.

$\sqrt{25} = 5$

and also

$\sqrt{18} = 4.2$

so we have the height of the triangle as 5cm and the base is 4.2cm.

now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

$\sqrt{ {5}^{2} + {4.2}^{2} } = 6.53cm$

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula

Area = L²

Area = 6.53²

Area = 42.6cm

the nearest cm square

Area = 43cm²

8 0

2 years ago

Read 2 more answers

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. find f(g(2)). −7 −3 10 33 open study

Ray Of Light [21]

F(g(2))

g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15

f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==

ur answer is -7

6 0