Answer:
The total surface area = 582 ft²
Step-by-step explanation:
To find the surface area of it count the number of faces at first
The figure has 8 faces each 2 are equal
1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)
2- Two faces with dimensions 9 ft and 4 ft
3- Two faces with dimensions 4 ft and 6 ft
4- Two faces with dimensions 15 ft , 9 ft and 6 ft
Area of (1-) = 2(4 × 15) = 120 ft²
Area of (2-) = 2(4 × 9) = 72 ft²
Area of (3-) = 2(4 × 6) = 48 ft²
Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²
∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²
Answer: the answer is 21
Step-by-step explanation:
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
Dividing <em>f(x)</em> by 2<em>x</em> + 5 leaves the same remainder as division by <em>x</em> + 5/2. By the remainder theorem, it is equal to <em>f </em>(-5/2), so the remainder here is
<em>f</em> (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
Answer:
he can buy 5 cookies and 5 candies
Step-by-step explanation:
3+2=5
5×5=25
