Answer:
47.6m.
Step by step solution:
Perimeter of a triangle = base + 2 . length____(1)
Area of a triangle = 1/2 . base . diagonal
108 = 1/2 . base . 15
multiplying both sides by 2:
216 = 15 . base
dividing both sides by 15:
base = 14.4m
But the diagonal divides the triangle into two
right angle triangles each with the same length (hypotenuse),base and diagonal(height).
Taking one right angle triangle:
And using pythagoras theorem;
length² = base² + diagonal ²
length² = 7.2² + 15²
Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.
length² = 276.84
taking the square root of both sides:
length = 16.6m
Putting the values of the base and length into equation (1).
Perimeter of the triangle = 14.4 + 2 . 16.6
Note: We are dealing with the whole triangle
now hence the base is 14.4m.
Perimeter of the triangle = 14.4 + 33.2 = 47.6m.
Answer:
He should use 3 pounds of peanuts and cashews.
The region that covers 23 km^2 has population of 1380 people
Step-by-step explanation:
The population is calculated using population density by multiplying the population density with the area.
Here,
Population density = d = 60 people per kilometer^2
Area = a = 23 km^2
So,
The region that covers 23 km^2 has population of 1380 people
Keywords: Population, Density
Learn more about population at:
#LearnwithBrainly
Answer:
yes
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to 
therefore
For 
-----> one unit to the right of the vertex
Find the value of 
For 
-----> one unit to the left of the vertex
Find the value of 
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
