Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
Nickel= 1.8 kg
Zinc= 0.4 kg
Copper= 1.8 kg
Step-by-step explanation:
7:2:9
7=nickel
2=zinc
9=copper
7+2+9=18
18×2=36
7×2=14 2×2=4 9×2=18
Divide by 10
14÷10=1.4 4÷10=0.4 18÷10=1.8
1.8+1.4+0.4= 3.6
1.8=nickel
0.4=zinc
1.8=copper
Answer:
Step-by-step explanation:
Converte 80% into a decimal (devide it by 100) = 0.8
Then multiply 0.8 by 1.60 = 1.28 (final result)
Part A)The given equation is:

The radicand or discriminant(d) of the equation will be:

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)The given equation is:

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
Yes all trapezoids are quadrilaterals