Area of rectangle is base times height
area of triangle is 1/2 times base times height
this shape has 3 rectangular sides and 2 triangular sides
2 sides and 1 bottom
2×(6×5)+1×(6×8) = 108
front and back triangular sides
2×(1/2)×(3×8) = 24
total is 132 cm^2, C
Answer:
A = 1,144 ft²
Step-by-step explanation:
The base of the quadrilateral is also x. We know this since there are 2 90° angles, there fore the other 2 angles are also 90°, making the top and bottom sides of the quadrilateral parallel to each other, and equal in measure.
Since the entire base of the yard is 2x, the base of the triangle is x.
The area of the triangle is
A = (1/2)bh where b is the base, and h is the height
For this example...
A = (1/2)x(44) (x is the base, and 44 is the height)
So
A = (1/2)(44)x
A = 22x
The area of the quadrilateral is
A = LW
A = 44x
The total area of the yard is
A = 22x + 44x
A = 66x
We are told that the entire area is 3,462. so
3,462 = 66x now solve for 'x'
3,462/66 = x (divide both sides by 66)
52 = x
So the area of the picnic tables is the area of the triangle, which is
A = 22(52) = 1,144 ft²
The equation is L = 34 – 0.5d for the water level, L, after d days
<h3><u>Solution:
</u></h3>
Given that , Suppose that the water level of a river is 34 feet
And that it is receding at a rate of 0.5 foot per day.
We have to write an equation for the water level, L, after d days
The equation can be framed for water level after d days which is found by calculating difference between initial level and receding level of water per day
Now , we know that,
<em>water level after d days = initial level – receded level of water.
</em>
L = 34 feet – number of days spent x rate of receding level per day.
L = 34 feet – d days x 0.5 foot
L = 34 – 0.5d
Hence, the equation is L = 34 – 0.5d
Answer:
11r²-4r-3
Step-by-step explanation:
soo,, now firstly change the signs of 2nd expression
so,
9r²+5r-11+2r²-9r+8
now
we will combine the same terms like , see next step
9r²+2r²+5r-9r-11+8
11r²-4r-3
Answer:
$1516.69 per month less
Step-by-step explanation:
The formula for the monthly payment A on a loan of principal P, annual rate r, for t years is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
For the 18.5% loan, the monthly payment is ...
A = 150000(.185/12)/(1 -(1 +.185/12)^(-12·30)) ≈ 2321.92
For the 5% loan, the monthly payment is ...
A = 150000(.05/12)/(1 -(1 +.05/12)^-360) ≈ 805.23
The mortgage at 5% would be $1516.69 less per month.
