Answer:
The son age is 10 years
And, his mother age be 40 years
Step-by-step explanation:
Given that
The mother is four times the age of her son
And, in 5 years, she will be three times as old as him
We need to find out the ages of both
Here we assume that the age of her son be x
So the mother age be 4x
Now in 5 years, her mother would be 3 times as old as his son
So,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
x = 10
The son age is 10 years
And, his mother age be 40 years
Answer:
uhhh well im not good but im gonna try and i think b sorry if wrong
Answer:
Lateral surface area formula: AL=(a+b+c)h
Step-by-step explanation:
"Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism."
Ok, so you can just ignore that 8.7 ft (height of triangle shape). It's not important for finding the lateral surface area.
a, b, c are the base sides. You add the sides of a triangle.
Multiply (a+b+c) with the height, h.
(10 + 10 + 10) x 17 = ?
[this formula can apply for ANY triangular prism no matter which position it's shown]
ANSWER: 510 ft^2
1. First, you must find the constant of variation (k). The problem indicates that t<span>he base of each triangle varies inversely with the height. So, this can be represented as below:
</span>
B=k/H
B is the base of the triangle (B=10).
H is the height of the triangle (H=6).
k is the constant of variation.
2. When you clear "k", you obtain:
B=k/H
k=BxH
k=10x6
k=60
3. Now, you have:
B=60/H
4. You can give any value to "H" and you will obtain the base of the second triangle.
5. If H=12, then:
B=60/H
B=60/12
B=5
6. Therefore, <span>the possible base and height of a second triangle is:
</span>
B=5
H=12
Answer: The coordinates of the midpoint (1.5, -0.5)
Step-by-step explanation:
For the x-coordinate, find the difference between -1 and 4. That's 5. Take half of 5 and add to -1. So -1+2.5= 1.5
For the y-coordinate, the difference between -6 and 5 is 11. Half of 11 is 5.5. Add -6 + 5.5= 0.5
