4 years ago

Using the trigonometry tangent, find the values of Theta, Tan (Theta) = 6/16 *

Mathematics

1 answer:

Akimi4 [234]4 years ago

3 0

Answer:

Theta = 20.56 degrees

Step-by-step explanation:

Tan (theta) = 6/16.

Use the inverse of tan to find theta

Theta = $tan^{-1}$ (6/16)

Use your calculator to solve.

Theta = 20.56 degrees

You might be interested in

Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per squ

DedPeter [7]

1/2 divided by 5/8
Keep Change Flip=

1/2 x 8/5= 0.8
0.8 = 8/10 simpified 4/5

Answer: 4/5

7 0

3 years ago

Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$