The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle =
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle = square feet.
The surface area for all the similar triangles = square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square = square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area = square feet which is the third option.
<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer: The area of a sector is a fraction of the area of the circle. The fraction is equal to the ratio of the measure of the sector’s central angle to one full rotation, or 360°.
Step-by-step explanation:
Answer:
He would make $36 for 12 pounds of strawberries
He would make $196 for 49 pounds of blueberries
He would make 3S if he sold S pounds of strawberries
He would make 4B if he sold B pounds of blueberries
Working:
We know that strawberries are $3/pound so $3 x 12pounds = $36
We know that blueberries are $4/pound so $4 x 49pounds = $196
The letters represent the amount of pounds of fruit being bought so the calculation for that is ($ x pounds) so you would write this but without assigning a numerical value to the amount. So if the strawberries are $3/pound and Luke sold ‘s’ pounds then it would be 3S (or 3xS but that is already assumed). The same goes for the blueberries. We know that they are $4/pound so it would be 4B.
Sorry if this doesn’t make any sense but I hope this helped
Answer:
156
Step-by-step explanation:
It the whole line’s angle measure would be 180 degrees. If you subtract 24 from 180 You get 156.
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