Answer:
12m^2
Step-by-step explanation:
volume = 48 m^3
l*b*h = 48
12*h = 48
h = 4 m
baSe of prism will be made of l and b
so area is 12 m^2
Answer:
5
Step-by-step explanation:
Let L be the larger number and s be the smaller one.
Then we have two equations.
(1) L – s = 25
(2) s = L/6 Multiply both sides by 6
6s = L Substitute the value for L in Equation(1)
6s – s = 25 Combine like terms
5s = 25 Divide both sides by 5
s = 5
The value of the smaller number is 5.
Answer:
Step-by-step explanation:
a). Since, ΔABC ~ ΔWYZ
Their corresponding sides will be proportional.

--------(1)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
BC² = AB² - AC²
BC² = (194)² - (130)²
BC² = 20736
BC = 144
From equation (1)


WY = 
WY =
= 1.35

WZ = 
WZ =
= 0.90
b). tan(A) = 
= 
= 
Since, ΔABC ~ ΔWYZ,
∠A ≅ ∠W
Therefore, tangent of angle A and angle W will measure
.
Answer:2 1/2 + 1/3 = 5/2 + 1/3 = 15/6 + 2/6 = 17/6 cup
(2/6)/(17/6) = (2/6)(6/17) = 2/17 (two parts in 17), or 11.8%
1 2/3 + 1/4 = 5/3 + 1/4 = 20/12 + 3/12 = 23/12 cup
(3/12)/(23/12) = (3/12)(12/23) = 3/23 (three parts in 23), or 13.04%
Step-by-step explanation: