Step-by-step explanation:
Amount of water left = 250 - 9x.
Given:
side lengths of right triangles = 12 cm ; 16 cm ; 20 cm
lateral area = 192 cm²
lateral area of a triangular prism = perimeter * height
192 cm² = (12 cm + 16 cm + 20 cm) * height
192 cm² = 48 cm * height
192 cm² / 48 cm = height
4 cm = height
The height of the pedestal in the shape of a triangular prism is 4 cm.
The correct answer is 5.25
Answer:
no, because for x=-3, y would have to be -31
Step-by-step explanation:
boy oh boy (or girl oh girl) - you wrote this in a horrible, horrible format.
I can only guess what your problem and the fitting answer would be.
y = -2×x^2 + 3×x - 4
-4 = -2×(-3)^2 + 3×(-3) - 4
-4 = -2×9 - 9 - 4
-4 = -18 - 9 - 4
-4 = -31
and that is wrong. for (-3,-4) to be on the graph of the function, y would have to be -4 when using x=-3 in the function. but y = -31 for x= -3.
Answer: The value of x= 18
Step-by-step explanation:
Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.
The sum of all angles of a triangle is 180°.
Therefore, in triangle EFG
∠E + ∠F +∠G= 180°
⇒ 8x-16 +x+8+ 2x-10 = 180
⇒ 11x-18= 180
⇒ 11x = 180+18
⇒11x=198
⇒ x= 18 [Divide both sides by 11]
Hence, the value of x= 18
