Answer:
83.4
Step-by-step explanation:
Area of a Regular Polygon: L (of side) times apothem (height) x 1/2
L : 13.9
Looking at the triangle we can assume the height would be 12 since its logical that 3 of the 4 lines can fit in the middle of the triangle.
H: 12
13.9 x 12 = 166.8
166.8/2 = 83.4
Area of trapezoid:
A = 1/2(b1+b2)h
where
b1 = 30,
b2 = 28+12 = 40
Triangle FOG
a^2 = c^2 - b^2
a^2 = 13^2 - 12^2
a^2 = 169 - 144
a^2 = 25
a = √25
a = 5
FO = 5 so height h = FO = 5
Now you can find the Area of trapezoid
A = 1/2(b1+b2)h
A = 1/2(30 + 40) (5)
A = 1/2(70)(5)
A = 175
Answer
175 square units
Answer:
He will sell 70 bags of popcorn and 105 bottles
Step-by-step explanation:
In 1 day he sells 14 bags of popcorn and 21 bottles
Multiply 14 by 5 which is 70
then multiply the bottles which is 21 by 5 days
105
He will sell 70 bags of popcorn and 105 bottles
Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
Answer:
-303.11 -175
Step-by-step explanation:
The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.
The component form of the vector has both the x component (horizontal component) and the y component (vertical component) Therefore:
The horizontal component = 
The vertical component = 
