A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba
1 answer:
Answer:
The wire is approximately 42feet long
Step-by-step explanation:
We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.
The hypotenuse side is the length of the wire we are looking for.
Parameters are given as:
Opposite : 30ft
Adjacent: 30ft
Hypotenuse: x feet
The hypotenuse =
Hypotenuse =
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Answer:
In 4 months Wyatt offer an equal number of sandwiches and tacos.
Step-by-step explanation:
We are given the following in the question:
Types of sandwiches = 8
Rate of increase of sandwich = 1 per month
Thus, number of sandwiches in x months will be given by
Types of tacos = 4
Rate of increase of tacos sandwich = 2 per month
Thus, number of tacos in x months will be given by
Equating the two equations, we get,
Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.
Answer:
(3)
Replcaing equation (3) into equation (2) we got:
And solving for Y we got:
And solving for X from equation (3) we got:
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Step-by-step explanation:
For this problem we can work with the concentration of water and orange juice.
Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content
Using the concentration of orange juice we have:
(1)
And for the water we have:
(2)
If we solve for X from equation (1) we got:
(3)
Replcaing equation (3) into equation (2) we got:
And solving for Y we got:
And solving for X from equation (3) we got:
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
The image is missing so i have attached it.
Answer:
Volume = 1.5 litres
Step-by-step explanation:
Using pythagoras theorem, we can get the height (h) of the cylinder
14² + h² = 17²
h² = 289 - 196
h = √93
Now, volume of a cylinder is;
V = πr²h
In the image, r = diameter/2 = 14/2 = 7cm
Thus,
V = π × 7² × √93
V = 1485 cm³
Now, 1 litre = 1000 cm³
Thus, volume = 1485/1000 = 1.485 litres ≈ 1.5 litres
