Rafaela is a physical education teacher and has 25 girls and 35 boys in her class.
2 answers:
You might be interested in
Answer:
the height of the tree is <em>15.49 m</em>
<em></em>
Step-by-step explanation:
Step 1:
From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:
∠ ATB = 180° - 98° - 20°
∠ ATB = 62°
Step 2:
Therefore, using the law of sines, we can determine the height of the tree.
TB / sin(20°) = 40 / sin(62°)
TB = 40 × (sin(20°) / sin(62°))
<em>TB = 15.49 m </em>
<em></em>
Therefore, the height of the tree is <em>15.49 m</em>
Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be
And the number of dog be
So, total number of animals:
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
Dividing both sides by -2 we get:
The number of duck = 1.
Now, putting the value of in above equation we get:
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.