Answer:
Mandy will take 67.5 mins to complete the 15 km race.
Step-by-step explanation:
Given:
Mandy runs 4 km in 18 min
She plans to run in a 15 km race.
We need to find how much time required to run 15 km.
4 km =18 min
15 km = time required for 15 km race
By Using Unitary method we get,
Time required for 15 km = 
Hence time required by Mandy to complete 15 km race is 67.5 mins.
The height is 24.
We can use Pythagorean’s Theorem: a^2+b^2=c^2
substituting values we get:
a^2+7^2=25^2
Solving we get:
a^2+49=625
a^2=576
a=24.
So the height is 24.
Hope this helps!
Answer:
No.
Step-by-step explanation:
The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.
5 + 8 = 13.
13, which is the sum of two sides, is not larger than 16, the third side.
Therefore, a triangle cannot have these side lengths.
we have

This is a vertical parabola open upward
The axis of symmetry is equal to the x-coordinate of the vertex
The vertex is the point (h,k)
the equation of the axis of symmetry is 
In this problem

so the x-coordinate of the vertex is 
<u>Convert the quadratic equation in vertex form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares


remember that

so



substitute in the equation


therefore
<u>the answer is</u>

Answer:
63% chance to pick both girls instead of boys