Answer:
The correct answer is first option
X = 34.61
Step-by-step explanation:
<u>Points to remember</u>
<u>Trigonometric ratios</u>
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.
One angle = 65°
To find the value of x
We have Cos θ = Adjacent side/Hypotenuse
Cos 65 = X/81.9
X = 81.9 * Cos 65
= 81.9 * 0.4226
= 34.61
Therefore X = 34.61
The correct answer is first option
Answer:
4x(5w-y-3z)
Step-by-step explanation:
Answer:
B. 200 cubic feet
Step-by-step explanation:
There are two prisms: the triangular prism and the rectangular prism
first lets start with the triangular one:
remember that for a right triangular prism (this one), the area is 1/2 x base x height x length
another way to think about it is to find the area of the triangle and then multiply that by the thickness
The base is 4 feet and the height is the same as the rectangular prism, which is 5
and the length is 4 ft (same as rectangular prism)
so 1/2 x 4 x 5 x 4 is 40
next lets do the rectangular prism
remember the volume is length x width x height
8 x 4 x 5 = 160
now we simply add the volume of the two prisms
40 + 160 = 200
and there's you're answer :)
hope that helps!
We have constructed two angles with angle measures, 30° and 50° respectively.
Recall the angle sum of a triangle is 180°; the formula for angle sum of any n-sided polygon is formulated by: 180(n - 2), where n is the number of sides.
Since we need the three angles to equal to 180, we can call the third angle x.
Hence, our equation becomes:
x + 30 + 50 = 180
x + 80 = 180
x = 100
Thus, our third angle is 100°
