80 PTS In the triangle below X=[?] cm. Round to the nearest tenth.

Mathematics

1 answer:

stealth61 [152]2 years ago

8 0

Answer:

x = 8.6 cm

Step-by-step explanation:

To find x, we need to take the sin ratio of the 35° angle.

Identity

sin∠x = opposing side length / length of hypotenuse

Solving

sin35° = 0.57
sin35° = x/15
⇒ x/15 = 0.57
⇒ x = 15 × 0.57
⇒ x = 8.55 cm
⇒ x = 8.6 cm

You might be interested in

A^3+a+a^2+1 2a^2+2ab+ab^2+b^3

Vikentia [17]

$\frac{a^3+a+a^2+1}{a^3+a^2+ab^2+b^2} \cdot \frac{2a^2+2ab+ab^2+b^3}{a^3+a+a^2b+b} =\frac{a(a^2+1)+1(a^2+1)}{a^2(a+1)+b^2(a+1)} \cdot \frac{2a(a+b)+b^2(a+b)}{a(a^2+1)+b(a^2+1)} =\\\\=\frac{(a^2+1)(a+1)}{(a+1)(a^2+b^2)} \cdot \frac{(a+b)(2a+b^2)}{(a^2+1)(a+b)} = \frac{2a+b^2}{a^2+b^2}$

6 0

2 years ago

X- (-12)=25 ( FIND X)

Dafna11 [192]

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

8 0

3 years ago

I need some help on this. Not sure how to solve.

andreyandreev [35.5K]

Answer:

x = 9

Step-by-step explanation:

This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). A 30-60-90 triangle is special because of the relationship of its sides. The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.

Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:

2x = 18 or x = 9