Answer:
1) x ≅ 51.34°
2) y ≅ 38.66°
Step-by-step explanation:
In the right triangle given in the figure
∵ The triangle has a right angle
∴ Angles x and y are acute angles and the sum of their measures is 90°
→ By using the trigonometry function tan
∵ tan(x) = opposite side to x/adjacent side to x
∵ The opposite side to x = 10
∵ The adjacent side to x = 8
→ Substitute them in the rule above
∴ tan(x) = 
= 
→ Use the inverse of tan to find x
∵ x = 
()
∴ x = 51.34019175
∴ x ≅ 51.34°
∵ x + y = 90°
∴ 51.34 + y = 90
→ Subtract 51.34 from both sides
∴ y ≅ 38.66°
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.
These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)
To work out the height, use Pythagoras’ theorem.
a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides
7^2 - 3.5^2 = 36.75
Square root answer
= 6.06 cm
That’s the height of the triangle
Area of a triangle is base x height divided by 2
So 7 x 6.06 = 42.43…
/2
= 21.2 cm^2 to one d.p
Hope this helped!
Please mark Brainliest!!
Answer: D it makes the most since as both numerators are equal to each other and the denominators will have to be the same for them to be equal.
Step-by-step explanation:
The answer is 0, as any number multiplied by 0, is 0.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
