Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
Since it decreases 2.75 then it will give you the answer of 20.75
Answer:
The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.
Step-by-step explanation:
Answer:
456.2 units²
Step-by-step explanation:
The area of the square base is ...
base area = w² = (10 units)² = 100 units²
The lateral area is 4 times the area of one rectangular face:
lateral area = 4wx = 4(10 units)(5 units) = 200 units²
The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:
h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²
h = √61 units
So, the area of 4 triangles is ...
area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²
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Now we have the areas of the parts, so we can add them together to get the total surface area:
surface area = base area + lateral area + area of triangular faces
= 100 units² + 200 units² + 156.2 units²
surface area = 456.2 units²
Given that the received amount was $350 from a car wash, $337 from a bake sale, and $490 from a used equipment sale.
Also, the interest rate is 2.2 % and the time period is 3 years.
Thus, the total amount is as follows:
Next, the accumulated amount can be calculated as follows:
Further, solve the obtained result as follows:
Thus, the league will have $1256.40 in their account after 3 years.
