<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.
Answer:
=42x2+1
Step-by-step explanation:
6x2+36x2+12x+6
=42x2+1
1,250/5 = 250 calories per serving
375/250 = 1.5 servings
Answer:
5 ft, 6.5 ft, 7 ft
Step-by-step explanation:
area of trapezoid = (base1 + base2)h/2
Let the unknown base = x
area of trapezoid = (8.5 + x)(6)/2
area = 3x + 25.5
We want the area to be between 40 ft^2 and 48 ft^2.
40 < 3x + 25.5 < 48
14.5 < 3x < 22.5
4.8333 < x < 7.5
Answer: 5 ft, 6.5 ft, 7 ft
Answer:
sales tax = $3.9
total cost = $68.9
Step-by-step explanation:
tax = 65*0.06 = 3.9
total cost = 3.9 + 65 = 68.9
