Answer:
If, a = 2 and b = 3
<h3>Jada</h3><h3>
</h3>
It's not equivalent.
<h3>Diego</h3><h3>
</h3>
It's equivalent.
The correct equation is 4a + 9b.
The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Step-by-step explanation:
We can see in the diagram that the values of all sides are given. In case of trigonometric ratios, the side in front of angle under consideration is perpendicular and the side adjacent to angle is base.
In the given case, we have to find trigonometric ratios for angle B; So,
Base = a = 3
Perpendicular = b = 4
Hypotenuse = c = 5
Hence,
The ratios will be:
The ratios are: sin B = 4/5 , cos B = 3/5 and tan B = 4/3
Keywords: Ratios, triangle
Learn more about trigonometric ratios at:
#LearnwithBrainly
y = 11/21
To solve this first evaluate the power (then calculate the sum):
<u><em>
</em></u>y - <u><em>
</em></u> = 5y +<u><em> (-5 + 7)</em></u>
16y - 9 = -5y + 2
Next Move terms (move variable to the left side and change its sign) (Move constant to the right side and change its sign):
16y <u><em>- 9 </em></u>= <u><em>-5y</em></u> + 2
16y + 5y = 2 + 9
Next Collect the like terms and calculate the sum:
<u><em>16y + 5y</em></u> = <u><em>2 + 9</em></u>
21y = 11
Lastly divide both sides of the equation by 21:
<u><em>21y = 11</em></u>
y = 
<span>(a) $7.04
(b) 704/1599
(c) 0.44
(d) 14
(e) $98.56
(a) How much profit does Lucy earn when she sells a necklace?
Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation.
P = $15.99 - $3.38 - $5.57
P = $12.61 - $5.57
P = $7.04
So her profit is $7.04 per necklace.
(b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers.
The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599.
The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599.
(c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)?
Pardon the lack of formatting
704/1599 = 0.4403
Rounded to the nearest hundredth gives 0.44
(d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work.
This question is asking for total cost. So divide the $223.86 by the sale price of $15.99.
$223.86 / $15.99 = 14
14 necklaces were sold.
(e) How much profit did she earn from the number of necklaces she sold? Show your work.
Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So
$7.04 * 14 = $98.56</span>
The answer is D, or 168.
The cheese can be any one out of 3 = 3 choices. For each of those . . .
The first topping can be any one of 8. For each of those . . .
The second topping can be any one of the remaining 7 . For each of those . . .
The third topping can be any one of the remaining 6 .
Total number of ways to assemble a pizza = (3 x 8 x 7 x 6) = 1,008 ways.
<span>BUT . . . </span>
You could choose the SAME 3 toppings in (3 x 2) = 6 different ways, and
nobody could tell the difference once they were selected. All 6 different
ways would result in the same pizza.
So, out of the 1,008 total different ways there are of choosing ingredients,
<span>there are only ( 1,008 / 6 ) = </span>168<span> different and distinct pizzas.</span>
