Answer:
34.0 m
Step-by-step explanation:
The total angle sum in a triangle should be 180° hence the missing angle will be given by
180°-145°-28°=7°
Using sine rule
By substituting 160 for m, 145° for M and 7° for L then
Making l the subject then
What is the value of 3 in 6300 and 530
2 answers:
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To begin, you are given two point that this function would intercept: (0,3) where the 0 is the original year (2000) and 3 is the amount of million cars sold. The next point would be (6,2.5) Where the 6 is the 6 years later and the 2.5 is the 2.5 million cars sold. Since we have 2 points, we can work out the gradient by finding the rate of change in y and dividing by the rate of change in x:
We then substitute in the points:
Because we started on the y-intercept of (0,3), we already have our intercept value of 3. If we did not start with the y-intercept given, we could substitute in a point to solve for it:
Using point (2.5,6):
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Hope this helps :)
We then substitute in the points:
Because we started on the y-intercept of (0,3), we already have our intercept value of 3. If we did not start with the y-intercept given, we could substitute in a point to solve for it:
Using point (2.5,6):
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Hope this helps :)
For the first expression. move the like terms next to each other in the expression.
17c - 5c -3 + 5 Do -3 + 5
17c - 5c + 2 Pretend the c isn't there and do 17 - 5
12c + 2
For the second expression, pretend the b isn't there and do -12 + 10
8b -2b Now, do 8 - 2
6b
For number 9, you know that since the top of the rectangle is 20cm, the bottom should be too. You can then use the 6cm and 2cm to find out how much of the bottom is missing.
20 - (6 + 2) Add 6 and 2
20 - 8 Subtract
12
So, the base of the triangle is 12cm. The side of the rectangle tells you that the height of the triangle is 9cm. If you plug those numbers into the triangle area formula, you can find the area of the triangle.
1/2 (b x h) Plug in the numbers ( b = 12 , h = 9)
1/2 (12 x 9) Multiply 12 and 9
1/2 (108) Find half of 180
54
The are of the triangle is 54
. Since you need the area of the rectangle minus the are of the triangle, you need the are of the rectangle. That can be found using l x w.
l x w Plug in the values (l = 9 , w = 20)
9 x 20 Multiply
180
Now, subtract the area of the triangle (54) from the area of the rectangle (180).
180 - 54 Subtract
126
The area of the shaded region is 126
.
17c - 5c -3 + 5 Do -3 + 5
17c - 5c + 2 Pretend the c isn't there and do 17 - 5
12c + 2
For the second expression, pretend the b isn't there and do -12 + 10
8b -2b Now, do 8 - 2
6b
For number 9, you know that since the top of the rectangle is 20cm, the bottom should be too. You can then use the 6cm and 2cm to find out how much of the bottom is missing.
20 - (6 + 2) Add 6 and 2
20 - 8 Subtract
12
So, the base of the triangle is 12cm. The side of the rectangle tells you that the height of the triangle is 9cm. If you plug those numbers into the triangle area formula, you can find the area of the triangle.
1/2 (b x h) Plug in the numbers ( b = 12 , h = 9)
1/2 (12 x 9) Multiply 12 and 9
1/2 (108) Find half of 180
54
The are of the triangle is 54
l x w Plug in the values (l = 9 , w = 20)
9 x 20 Multiply
180
Now, subtract the area of the triangle (54) from the area of the rectangle (180).
180 - 54 Subtract
126
The area of the shaded region is 126