Step-by-step explanation:
14 - 8 + 3 + 8 × [24 ÷ 8}
14 - 8 + 3 + 8 × [3}
14-8+3+24= 33
= 33
Given:
Volume of square prism = 810 cubic inches
Height of square prism = 10 inches
The volume of a square prism has this formula:
v = a²h
a = side length of the square prism
h = height
810 in³ = a² * 10in
810 in³ ÷ 10 in = a²
81 in² = a²
√81 in² = √a²
9 in = a
The length of each side of the base is 9 inches. Only 5 sides of the cardboard box has a cardboard because the 6th side is open.
Write the decimal number as a fraction (over 1)
23.8 = 23.8 / 1
Multiplying by 1 to eliminate 1 decimal places
we multiply top and bottom by 1 10's
Numerator (N)
N = 23.8 × 10 = 238
Denominator (D)
D = 1 × 10 = 10
N / D = 238 / 10
Simplifying the fraction
238/10 = 119/5= 23 4/5
FINAL ANSWER: 23 4/5
Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )
Answer:
a)
and 
Step-by-step explanation:
The idea for the solution of this equation is to find the value of c where both parts of the piecewise-defined function are the same. So we need to take the parts of the function and set them equal to each other, so we get:

and then solve for x. We move everything to one side of the equation so we get:

and we use the quadratic formula:

and we substitute:

and solve


so our two answers are:
a)
and 