Well I would divide 8 and 144 first.
That gives you 18
Then multiply 3 by 18 and you get 54
So 54 out of 144 bottles were filled with grape juice.
Fairly simple. :)
Hope this helps you!
2. (4/5x, 4/5y)
3. (5/4x, 5/4y)
4. (7.5x, 7.5y)
(Please help)
Answer:
1. The dilation (0.2x, 0.2y) is an enlargement.
When the scale factor of a dilation is greater than 1, it results in an enlargement. In this case, the scale factor is 0.2, which is less than 1. However, the absolute value of the scale factor is greater than 1. Therefore, it is considered an enlargement.
For example, let's consider a point (2, 3). After applying the dilation with a scale factor of 0.2, the new coordinates would be (0.4, 0.6). This shows that the image has been enlarged.
2. The dilation (4/5x, 4/5y) is an enlargement.
Similar to the first dilation, the scale factor in this case is less than 1, but its absolute value is greater than 1. Hence, it is an enlargement.
For instance, if we have a point (5, 6) and apply the dilation with a scale factor of 4/5, the new coordinates would be (4, 4.8). This demonstrates an increase in size.
3. The dilation (5/4x, 5/4y) is also an enlargement.
The scale factor here is greater than 1, which indicates an enlargement.
Let's consider a point (8, 10) and apply the dilation with a scale factor of 5/4. The new coordinates would be (10, 12.5), indicating an increase in size.
4. The dilation (7.5x, 7.5y) is an enlargement.
Once again, the scale factor is greater than 1, confirming that it is an enlargement.
For example, if we have a point (1, 2) and apply the dilation with a scale factor of 7.5, the new coordinates would be (7.5, 15), indicating an increase in size.
In summary, all the given dilations result in enlargements as their scale factors are either greater than 1 or their absolute values are greater than 1.
Step-by-step explanation:
<3
Answer:
Step-by-step explanation:
When 448 is rounded to the nearest tens then the value is 450.
When rounding a number to the nearest tens, we consider the digit in the tens place.
In the case of 448, the digit in the tens place is 4.
To round to the nearest tens, we examine the digit in the ones place, which is 8. Since 8 is greater than or equal to 5, we round the tens place up by 1.
Therefore, the digit in the tens place becomes 5, and all the digits to the right of the tens place become zeros.
This gives us the rounded value of 450.
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Answer:
Can't be solved.
Step-by-step explanation:
Answer: B = 43.9 , b = 18 71 , c = 8.45
Step-by-step explanation:
from the law of sine,
a b c
--------- = ---------- = ----------- a =25.3, C = 18.2 degree, A = 110.8 deg.
Sine A Sine B Sine C
to get the value of c,
a c
--------- = -----------
Sine A Sine C,
25.3 c
----------- = -------------
Sine 110.8 Sine 18.2
Now cross multiply to get the value of c
c x Sine 110.8 = 25.3 x Sine 18.2
Therefore c = 25.3 x Sine 18.2
------------------------
Sine 110.8
checking for Sine 18.2 in your log tables/calculators , ie, sine 18 under 2, = 0.3123 and sine 110.8 = 0.9348
c = 25.3 x 0.3123
--------------------
0.9348
= 8.45.
To get angle B, sum total of a triangle is supplementary ie, 180 degree.
meaning that A + B + C = 180
Therefore, angle B = 180 - ( 110.8 + 25.3)
= 180 - 136.1
= 43.9
Now to find b,
b c
------------- = ------------
Sine B Sine C
b 8.45
--------- = ------------
Sine 43.9 Sine 18.2
b x sine 18.2 = 8.45 x Sine 43.9
b = 8.45 x 0.6934
--------------------
0. 3123
b = 18.708
= 18.71.
The final Answer = B = 43.9, b = 18.71, c = 8.45