The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
<h3>What is
trigonometric ratio?</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.
Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trig ratio:
tan(23) = d/1143
d = 485.2 feet
The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.
Find out more on trigonometric ratio at: brainly.com/question/24349828
There are 36 dogs in the shelter.
<h3>How to find the total number of dogs in the shelter?</h3>
The ratio of dogs to cats in the shelter is given as 9:15.
The total number of dogs and cats is given as 96.
Let the constant of proportionality be x.
The total number of dogs is 9x and the total number of cats is 15x.
This means that:
9x + 15x = 96
24x = 96
x = 4.
The total number of dogs in the shelter = 9 × 4
= 36
Therefore, we have found that there are 36 dogs in the shelter.
Learn more about ratios here: brainly.com/question/2914376
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Answer:
4/9
Step-by-step explanation:
Answer: y=-3x+5
Step-by-step explanation:
Slope-intercept form is y=mx+b. So to make your equation into slope-intercept form, simply subtract 3x from both sides, which results in y=-3x+5
Answer:
The last graph
Step-by-step explanation:
This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.
Hope this helps. Please inform me if my answer is wrong.
