Answer:
A: C = 2: 1
Step-by-step explanation:
Please see the attached pictures for the full solution.
Further explanantion (2nd image):
The reason why the ratio of A: C is equal to the ratio if 2A: 2C is that the number of parts of A and C is equal, which is 2 parts. If I were to divide both 2A and 2C by 2 to find the ratio of A: C, I would obtain 15: 15/2. However, ratios are expressed as whole numbers and thus, we would multiply the whole ratio by 2 again and the answer would still be 30: 15. This ratio is not in the simplest form since both can be divided by 15. Thus, dividing both sides of the ratio by 15 will leave us with the final answer of
A: C= 2: 1.
☆ An alternative method is to simplify the ratio 3B: 2C at the beginning.
3B: 2C
= 36: 15
= 12: 5
Multiply the first ratio by 2 so 3B has 12 parts in both ratios:
2A: 3B
= 10: 12
Combining the 2 ratios together,
2A: 3B: 2C
= 10: 6: 5
2A: 2C
= 10: 5
= 2: 1
A: C= 2: 1
Answer:
<em>A) The reference angle should be </em><u><em>
,</em></u><em> and the sign of the value should be </em><u><em>negative.</em></u>
Step-by-step explanation:
cos(
)
Remove full rotations of 2π until the angle is between 0 and 2
.
cos(
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.
-cos(
)
The exact value of cos(
) is
.
−
The answer is 6 ....you just have to do the steps backwards and it will result faster.
6+5=11
11*2=22
22-6=16
16/2=8
<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>
<em><u>Solution:</u></em>
Given that,
Price of telescope = $ 400
Mark up = 32 %
To find: Cost after mark up
The formula used is:
<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>
Therefore,
Cost after mark up = 400 + 32 % of 400

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )
Answer:
-102x+34mx
Step-by-step explanation:
PLAN:
- Distribute:
: 34x( - 3) + 34xm - Multiply and Simplify: -34 * 3x + 34mx
- Multiply again: -102x + 34mx
<em>Hope this helps!!!</em>