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ValentinkaMS [17]
2 years ago
8

If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Mathematics
1 answer:
Citrus2011 [14]2 years ago
6 0

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

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U=-2b+30

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What is 0.564 as a percent
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3 years ago
Read 2 more answers
Please help me :((( it’s geometry
NikAS [45]

\tt Step-by-step~explanation:

\tt Area:

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

\tt 10*7=70\\70/2=35\\35=A

\tt Perimeter:

\tt Step~1:

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149

We cannot simplify √149, so we either leave it, or round it.

\tt \sqrt{149}\\12.2066

This is rounded to the nearest 10,000.

\tt Step~2:

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P

\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}

5 0
3 years ago
The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp
Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

                    f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

                    0 =  -0.14x + 0.42

                    x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

                    f ( x = 3 ) = max height

                    max height =  –0.07*3^2 + 0.42*3 + 6.37

                                        = 7 ft

5 0
3 years ago
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