Answer and Explanation:
Using trig ratios, we can express the given values of sin u and tan v as shown below
![\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csin%20u%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20u%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%20%5Ctan%20v%3D%5Cfrac%7Bopposite%5Ctext%7B%20of%20angle%20v%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Csqrt%5B%5D%7B21%7D%20%5Cend%7Bgathered%7D)
So we can go ahead and label the sides of the triangle as shown below;
We can find the value of u as shown below;
We can find v as shown below;
Answer:
$41 250
Step-by-step explanation:
15% * $275 000 = $41 250
Answer:
Step-by-step explanation:
Let x represent the amount that he paid for one hamburger.
Daniel buys lunch for his family from a food stand. He purchased one hot dog for $2.50 and 3 hamburgers. The cost of 3 hamburgers would be 3x.
If he spent a total amount of $13 on the hot dog and hamburgers, it means that
2.5 + 3x = 13
3x = 13 - 2.5 = 10.5
x = 10.5/3
x = $3.5
Answer: 34.29cm
Step-by-step explanation:
From the question, we are informed that Billy has 2.4 m of ribbon for crafts and that he wants to share it evenly with 12 friends.
The number of centimeters of ribbon that each of the 7 friends would get will be gotten by dividing 2.4m by 12. We can solve this by first converting 2.4meters to centimeters. This will be:
= 2.4meters = 2.4 × 100cm = 240 centimeters.
We then divide 240cm by 7. This will be:
= 240cm/7
= 34.29cm
