Answer:
She needs to purchase 50 square feet of wood .
Step-by-step explanation:
we can find the number of square feet of wood needed to purchase by finding the area of the table
The area of the table = area of the triangle + area of the rectangle
Area of the triangle:
Area of the triangle = 
On substituting the values from the attached figure , we get
Area of the triangle = 
Area of the triangle = 
Area of the triangle = 10 square feet
Area of the rectangle:
Area of the rectangle = Length X Breadth
On substituting the values from the attached figure , we get
Area of the triangle = 
Area of the triangle = 40 square feet
Thus the area of the table = 10 + 40 = 50 square feet
Answer:
4.11
Step-by-step explanation:
Answer:
Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
Step-by-step explanation:
There are 6 plates which consist of 25 lb plates and 5 lb plates.
We need to figure out how many of each one compose 110 lb.
Thus, 25 x 4 = 100... 4 plates of 25 pounds.
5 x 2 = 10 ... 2 plates of 5 lbs.
100+10= 110, which is our goal! And a total of 6 plates were used!
All things put into great consideration, Marcelle will use 4 plates of the 25 lb & 2 plates of the 5 lb to fabricate the 110 lb weight lifting bar.
I hope this helped!
~ Penny
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
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