Answer:
Step-by-step explanation:
Given the equation y = 2,5x
y is the height of the water
x is the time.
To get the range of values of the height at t = 60s, we will substitute x = 60 into the function
y = 2.5(60)
y = 150 in
Hence the range of the situation is [0, 150].
The domain will be all positive integers i.e xEZ
Answer:
Speed of one dog is 2.5 m/s and other dog is 5.5 m/s.
Step-by-step explanation:
Total distance between the two dogs = 360 m
Let the speed of one dog be x m/s, then the speed of second dog will be x+3 m/s.
Then total speed of two dogs = x+x+3 = 2x+3
Times = 20 seconds
After 20 seconds, distance left between them = 200 m
Distance traveled by the two dogs in 20 seconds = 360 m - 200 m
= 160 m
We know, Speed = 
2x+3 = 
2x = 8-3 = 5
x = 2.5 m/s
Speed of first dog = 2.5 m/s
Speed of second dog = x+3 = 2.5 +3
= 5.5m/s
Speed of one dog is 2.5 m/s and other dog is 5.5 m/s.
Answer:
52 cubes.
Step-by-step explanation:
The number touching the opposite sides of the box = 2* 4*4 = 32.
The number touching the other 2 sides = 2* 2 * 4 = 16,
The number only touching the bottom = 4 .
Answer 52
y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
7, to find the mean add up all the numbers and then subtract by the amount of Humber a you added.
For example, 1,3,8,10 added together is 22. We added four numbers together, so divide by 4. The mean of 1,3,8,10 is 5.5