Answer:
The vertical distance from the top of the slide go the ground is 24.25 feet
Step-by-step explanation:
Here, we want to calculate the vertical distance from the top of the slide to the ground.
To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;
Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle
The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse
So the trigonometric ratio we are to use will consider the opposite and the hypotenuse
This is the sine
Mathematically sine of an angle = length of the opposite/length of the hypotenuse
let’s call the length of the opposite x
sin 60 = x/28
x = 28 sin 60
x = 24.248 which is 24.25 feet
Answer:
59 bacteria would there be after 4 hours.
Step-by-step explanation:
Given:
Bacteria in the petri dish = 40
Time taken for the bacteria to be doubled =17 hours
To Find:
To Find the number bacteria left after 4 hours = ?
Solution:
By using the proportionality,
After 17 hours the number of bacteria will be 80.
Let the number of bacteria after 4 hours be x
then
Now by cross multiplication
x= 18. 82
So the number of bacteria after 4 hours will be
= 40 + 18.82
= 58.82
=59
sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
<u>Step-by-step explanation:</u>
We need to find sum of sequence : 46 + 42 + 38 + ... + (-446) + (-450)
Given sequence is an AP with following parameters as :
So , Let's calculate how many terms are there as :
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⇒
⇒
⇒
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Sum of an AP is :
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Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250