Answer:
68%
Step-by-step explanation:
17% × 4
68%
Answer:
V = 3
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Perimeter of the pentagon is 52 units.</em>
<em>Solve for value of v.</em>
<u>Solve:</u>
<em>Let first put it into a equation base on the given;</em>
<em>6v + 8 + 8 + 3v + 1 + v + 5 = 52</em>
<em>Add the numbers</em>
<em>6v + 22 + 3v + v = 52</em>
<em>Combine like terms</em>
<em>10v + 22 = 52</em>
<em>Subtract 22 from both sides</em>
<em>10v + 22 - 22 = 52 - 22</em>
<em>Simplify</em>
<em>10v = 30</em>
<em>Divide both sides by 10</em>
<em>10v/10 = 30/10</em>
<em>Simplify</em>
<em>v = 3 </em>
<em>Check Answer:</em>
<em>6(3) + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 16 + 9 + 1 + 8</em>
<em>18 + 16 + 9 + 9</em>
<em>18 + 16 + 18</em>
<em>36 + 16</em>
<em>52</em>
<em>Hence, v = 3</em>
For more information:
brainly.com/question/18640399
<u><em>Kavinsky</em></u>
Answer:
10 pairs for $13.48 is a better buy
Step-by-step explanation:
Given:
6 Pairs of socks have price $8.99
Let it call trade A
10 Pairs of socks have price $13.48
Let it call trade B
To Find:
Best buy = ?
Reason for it
Solution:
To find the best buy from both of these two trades we have to see that in which we will be charged less for per pair of socks
For Trade A:
6 Pairs of socks have price $8.99
Price of one pair of socks = Total price / Total Pairs
= $ 8.99 / 6
=$1.498 per pair
For Trade B:
10 Pairs of socks have price $13.48
Price of one pair of socks = Total price / Total Pairs
= $ 13.48 / 10
=$1.348 per pair
Trade B which is 10 Pairs of socks have price $13.48 is a better buy because of the reason that Price of per pair in Trade B is $1.348 per pair which is smaller then the price of Trade A which has a price of $1.498 per pair. So in the second case he will be saving more and per pair price is also low.
Answer:
cos 2Ф = - 161/289 , tan 2Ф = - 240/161
Step-by-step explanation:
* Lets explain how to solve the problem
∵ cos Ф = - 8/17
∵ Ф lies in the 3rd quadrant
- In the 3rd quadrant sin and cos are negative values, but tan is
a positive value
∵ sin²Ф + cos²Ф = 1
∴ sin²Ф + (-8/17)² = 1
∴ sin²Ф + 64/289 = 1
- Subtract 64/289 from both sides
∴ sin²Ф = 225/289 ⇒ take √ for both sides
∴ sin Ф = ± 15/17
∵ Ф lies in the 3rd quadrant
∴ sin Ф = -15/17
∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle
∵ cos Ф = - 8/17
∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289
* cos 2Ф = - 161/289
∵ tan 2Ф = sin 2Ф/cos 2Ф
∵ sin 2Ф = 2 sin Ф × cos Ф
∵ sin Ф = - 15/17 and cos Ф = - 8/17
∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289
∵ cos 2Ф = - 161/289
∴ tan 2Ф = (240/289)/(-161/289) = - 240/161
* tan 2Ф = - 240/161
