Complete question :
In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano
measures the temperature at 69.5 degrees Celsius. Every 3 minutes the temperature
rises 1/5 a degree. If the Volcano explodes at 145.5 degrees Celsius how many hours do
they have to evacuate a nearby city?
Will Mark BRAINLIEST to the correct answer
Answer:
19 hours
Step-by-step explanation:
Given that:
Temperature of volcano at 6:00 am = 69.5°C
Average rise in temperature per 3 minute = 1/5
Hence, rise in temperature per minute = 0.0666666°C
Temperature at which volcano will explode = 145.5°C
Hence, change in temperature :
(145.5°C - 69.5°C) = 76°C
Hence, temperature will have to rise by 76°C
Rise in temperature / rate of temperature increase
= 76°C / 0.0666666°C
= 1140.0011 minutes
= 1140.0011 / 60
= 19.0000019 hours
= 19 hours
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
A, C, and E. Both sides of the ratio has to change at the same time. If you multiply both sides by 2 you get 8:10. If you divide both sides by 2 you get 2:2.5. and if you divide by 1.5 you get 3:3.75.
Sorry if my explanation doesn't make sense
Let's say that the number we are looking for is called 'x'.
3 * x = 40
3x = 40
To solve for 'x', we will need to divide both sides by 3.
3x/3 = 40/3
40/3 or 13 1/3 can be multiplied by 3 to get 40.
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached