Answer:
Sophia: Deep Ocean, Heather: Soft Sky, Mia: Peacock Feathers
Step-by-step explanation:
If the first statement is true:
- Sophia DID choose Peacock Feathers
- Sophia DID choose Deep Ocean
- Heather DID choose Deep Ocean
- Heather DID choose Soft Sky
If the second statement is true:
- Sophia DID NOT choose Peacock Feathers
- Sophia DID NOT choose Deep Ocean
- Heather DID NOT choose Deep Ocean
- Heather DID NOT choose Soft Sky
If the third statement is true:
- Sophia DID NOT choose Peacock Feathers
- Sophia DID choose Deep Ocean
- Heather DID NOT choose Deep Ocean
- Heather DID choose Soft Sky
If the fourth statement is true:
- Sophia DID NOT choose Peacock Feathers
- Sophia DID choose Deep Ocean
- Heather DID choose Deep Ocean
- Heather DID NOT choose Soft Sky
Out of all of these, only the third statement has no doubles.
Step-by-step explanation:
multiple possibilities.
e.g.
we could use Pythagoras to get QR, and then use the law of sine to get angle P.
or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.
I propose the second option :
the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides always opposite of their associated angles.
33.8/sin(R) = 57.6/sin(90) = 57.6
sin(R) = 33.8/57.6 = 0.586805555...
R = 35.93064691...°
180 = 90 + 35.93064691... + P
P = 54.06935309...°
Hello,
6b) (i) As you can see, in the first year the price drops from 27,000 to 17,000. (Look at year 0-1 on the x axis). To find the percentage drop, find the difference between the two values and divide it over the initial value of 27,000.
So, the percentage drop in the first year is:
(27000-17000) / (27000) = 0.37, or a 37% drop
The answer is 37%.
(ii) For this question, we basically have the same process as the previous question except for the second year.
From year 1 to year 2, the value starts at 17,000 and ends at 15,000.
To find the percentage drop, we do:
(17000 - 15000) / (17000) = 0.118 ≈ 0.12, or a 12% drop
The answer is 12%.
6c) To find the percentage depreciation over the first 5 years, we look at the initial value (x = 0) and the value after 5 years (x = 5), and use these values in the same percentage formula we have been using.
The initial value of the car is 27,000, and after 5 years the value is 8,000.
This is a percentage drop of (27000 - 8000) / (27000) = 0.70, or a 70% drop.
The answer is 70%.
Hope this helps!
Answer:
Option (C)
Step-by-step explanation:
This question is incomplete; here is the complete question.
Morris is showing his work in simplifying,
(-6.7 + 4.3) - 1.2
Step 1: (4.3 - 6.7) - 1.2
Step 2: 4.3 - (6.7 + 1.2)
Step 3: 4.3 - 7.9
Step 4: -3.6
Which statement is true ?
A). Step 1, Morris used the commutative property.
B). Step 2, Morris used the distributive property.
C). Step 3, Morris used the associative property.
D). Step 4, Morris's answer is incorrect.
In associative property,
a + (b + c) = (a + b) + c
By this property,
(-6.7 + 4.3) - 1.2
Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2
Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]
Step 3, 4.3 - 7.9
Step 4, -3.6
Answer:
1701.5
Step-by-step explanation:
