Answer:
Area of the figure = 36 in²
Step-by-step explanation:
Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE
Area of rectangle ABCE = Length × Width
= AB × AC
= 6 × 8
= 48 in²
Area of triangle CDE = 
= 
= 12 in²
Now area of the composite figure = 48 - 12
= 36 square inch
Let's find area of the base.: 5x4.3=21.5, 21.5/2=10.75
Area of the Faces : 5x3=15/2=7.5x4=30
Let's add 10.75 +30=40.75
Answer:
sqrt(50)
Step-by-step explanation:
Since it is a right triangle, we can apply the Pythagorem Theorem.
a^2 + b^2 = c^2
25 + 25 = c^2
50 = c^2
c = sqrt(50)
Answer:
$300 + $200x
Step-by-step explanation:
So to even use the studio you need to pay $300. For every hour you use the studio you have to pay $200 dollars. So the price would end up as $300 + $200x. The variable stands for how many hours Michael uses the studio.
4120_7 = 4•7³ + 1•7² + 2•7¹ + 0•7⁰
4120_7 = 4•343 + 1•49 + 2•7 + 0•1
4120_7 = 1372 + 49 + 14
4120_7 = 1435
In base 12, we use the digits 0-9 as well as A for 10 and B for 11. So
A3B_12 = 10•12² + 3•12¹ + 11•12⁰
A3B_12 = 10•144 + 3•12 + 11•1
A3B_12 = 1440 + 36 + 11
A3B_12 = 1487
In base 36, we assign values between 10 and 35 to the letters A-Z, so that
WXYZ_36 = 32•36³ + 33•36² + 34•36¹ + 35•36⁰
WXYZ_36 = 32•46656 + 33•1296 + 34•36 + 35•1
WXYZ_36 = 1492992 + 42768 + 1224 + 35
WXYZ_36 = 1537019