Answer: 43
Explanation: All triangles add up to 180. We can subtract angle Z to get 86. Since X and Y are equal, we can divide 86 by 2.
Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
Both fractions are equal, so:
Applying cross multiplication:
The value of x is 3.
The domain is t=0 to t=3.2 and range is y = 0 to 57.125 feet.
<u>What are Domain and range of a Function?</u>
- The range of values that we are permitted to enter into our function is known as the domain of a function.
- The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
- After we enter an x value, the function outputs this sequence of values. The y values are those.
- A function can be compared to a piece of equipment on an assembly line.
- A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.
Given function is : y = -16t^2 + 50t + 4
It hits the ground when y=0
0 = -16t^2 + 50t + 4
8t^2 -25t -2 = 0
t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds
domain is t=0 to t=3.2 [3.2]
take the derivative and set it equal to zero to find maximum height
-32t +50 = 0
t = 50/32 = 25/16 = 1.5625 seconds
-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height
range is y = 0 to 57.125 feet. the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.
Know more about Domain and Range with the help of the given link:
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Answer:
they work together, it will take 2.4 hours to build the wall.
Step-by-step explanation:
One bricklayer can build a wall in 6 hours.
One hour work =
Another bricklayer can build the same wall in 4 hours.
One hour work =
They can together, how long will take them to build the wall.
Let's take "t" the time taken to build the wall.
The sum of their work rate = 1 (To build the wall)
Now we have to solve this equation. Take LCD of 6 and 4.
The LCD (least common divisor) of 6 and 4 is 12.
5t = 12*1
5t = 12
Dividing both sides by 5, we get
t =
t = 2.4 hours.
So, they work together, it will take 2.4 hours to build the wall.
Answer:
The third sentence is wrong.
Step-by-step explanation:
It is not 2 divided by a number equals 14. 7 is divided by a number and equals 14.