Answer:
C($)= (x²/2 +11x)5.75
Step-by-step explanation:
Let's assume the height= x
The base= x+22
Area= 1/2(base*height).
Area= 1/2((x+22)(x))
Area= x²/2 +11x
Cost per ft= $5.75
Cost for painting the triangular mural C
C($)= (x²/2 +11x)5.75
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
<h3>
Answer: A. 9</h3>
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Explanation:
Draw in the segments AO and OC.
Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.
Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.
Then we can say:
AB+BC = AC .... segment addition postulate
AB+AB = AC .... plug in BC = AB
2*AB = AC
2*AB = 18
AB = 18/2 .... divide both sides by 2
AB = 9
In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.
The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. The measure of an acute base angle of the trapezoid is 73 degrees.
