The vertex angle is defined as the angle opposite the base. It can be calculated by formula, 180° - 2B = A where, B=base angle and A=vertex angle.
The two sides of an isosceles triangle are congruent, which means they are the same length. The third side of an isosceles triangle is larger than the other two and is known as the base.
Every triangle has three angles that add up to a total of 180°. The base angles are the two angles located along the base of isosceles triangles. In isosceles triangles, the base angles are always congruent, or equal.
The vertex angle is defined as the angle opposite the base. The vertex angle is always greater than the sum of the two base angles. The vertex angle is always calculated by subtracting the base angles from 180°, using the general formula: 180° - 2B = A, where B represents the base angle and A represents the vertex angle.
Thus, vertex angle is defined as the angle opposite the base.
To learn more about isosceles triangle refer here
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Answer:
DA= $800 and DB= $1200
Step-by-step explanation:
Equation I (Interest of Bank A):
IA= 0.06/year*DA *1year (DA= Deposit in Bank A)
IA= 0.06*DA
Equation II (Interest of Bank B):
IB= 0.08/year*DB *1year (DB= Deposit in Bank B)
IB= 0.08*DB
Total interest:
TI=IA+IB=$144
Total deposit:
TD= DA +DB= $2000
Adding equations I and II:
IA+IB = 0.06DA +0.08DB
$144= 0.06DA+0.08DB
(DB= $2000-DA)
When replacing DB:
$144= 0.06DA + 0.08($2000-DA)
Applying distributive property:
$144= 0.06DA + (0.08*$2000) -0.08DA
$144= -0.02DA + $160
0.02DA= $160-$144
0.02DA = $16
DA= $16/0.02
DA= $800
DB= $2000-$800
DB= $1200
Operations are processes that take in a set of input resources which are used to transform something, or are transformed themselves, into outputs of products and services.
Let's solve for r.<span><span><span>x2</span>+<span>y2</span></span>=<span>16<span>r2</span></span></span>Step 1: Flip the equation.<span><span>16<span>r2</span></span>=<span><span>x2</span>+<span>y2</span></span></span>Step 2: Divide both sides by 16.<span><span><span>16<span>r2</span></span>16</span>=<span><span><span>x2</span>+<span>y2</span></span>16</span></span><span><span>r2</span>=<span><span><span>116</span><span>x2</span></span>+<span><span>116</span><span>y2</span></span></span></span>Step 3: Take square root.<span><span>r=<span><span><span><span><span>116</span><span>x2</span></span>+<span><span>116</span><span>y2</span></span></span> or </span>r</span></span>=<span>−<span><span><span>116</span><span>x2</span></span>+<span><span>116</span><span>y2</span></span></span></span></span>Answer:<span><span>r=<span><span><span><span><span>116</span><span>x2</span></span>+<span><span>116</span><span>y2</span></span></span> or </span>r</span></span>=<span>−<span><span><span>116</span><span>x2</span></span>+<span><span>116</span><span>y2</span></span></span></span></span>
The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars
<em><u>Solution:</u></em>
Given that,
Cost for reclining seat = $ 197
Cost for twin sharing room = $ 490
We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms
<em><u>Cost for reclining room when "x" passengers booked is:</u></em>
Cost for reclining room = $ 197x
<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>
Cost for twin sharing room = 
Cost for twin sharing room = 98y
<em><u>Total cost is given as:</u></em>
Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers
Thus total cost is (197x + 98y) dollars
