What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
We then have the following equation that is given by:
(2x) + (3x) + (4x) = 180
Clearing x we have:
9x = 180
x = 180/9
x = 20
Therefore we have:
m∠A = (40) °
m∠B = (60) °
m∠C = (80) °
Answer:
B) m∠B = 60 °
Answer:
7π
Step-by-step explanation:
SO first find the area of the whole circle
which has a radius of 3
a=πr^2
So 3^2=9
9π
Now the two circles which are the same in area due to having the same radius
so if you plug in the 1 for radius the answer would just be π or 1π
now multiply that by 2 becuase there are 2 identical circles
π*2=2π
Now subtract
9π-2π=7π
Answer:
1)
2)
Step-by-step explanation:
To find : Calculate the Laplace transforms of the following from the definition ?
Solution :
We know that,
Laplace transforms of is given by,
1)
Laplace of y,
here n=2
2)
Laplace of y,
here n=3
Answer:
288
Step-by-step explanation:
<em> Number of rectangles</em>
<em>____________________________________________________________</em>
1 × 1 squares 9-1 = 1 = 8*8 = 64
1 × 2 squares 9-2 = 7 = 8*7 = 56
1 × 3 squares 9-3 = 6 = 8*6 = 48
1 × 4 squares 9-4 = 5 = 8*5 = 40
1 × 5 squares 9-5 = 4 = 8*4 =32
1 × 6 squares 9-6 = 3 = 8*3 = 24
1 × 7 squares 9-7 = 2 = 8*2 = 16
1 × 8 squares 9-8 = 1 = 8*1 = 8
64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288
<em>Thus,</em>
<em>the number of squares on a chessboard is 228.</em>
<em />
<em>Hope this helps :)</em>
Answer: A; 6.3%
Step-by-step explanation:
Problem 1
For the first problem, we first want to find y so that we can plug it into the expression.
We can use elimination method for the system of equations to solve.
3x+3y=21
3x-y=5
We subtract both equations to eliminate x.
4y=16 [divide both sides by 4]
y=4
Now that we know y, we can plug it into the expression.
[divide]
[subtract]
We know that the answer is A.
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Problem 2
For the second problem, we need to know how to calculate percent error. The formula for precent error is . We know that the exact value is 80 because the buyer was supposed to given 80. 75 is the measured value because that was what the buyer was given.
[subtract]
[solve absolue value]
[divide]
[multiply]
Since the problem said to round to one decimal place, we know that the answer is 6.3%.