Answer:
Answers A (1/3), C (4/15) and D (5/6) are all repeating decimals.
Step-by-step explanation:
Repeating decimals are decimals in which a number or sequence of numbers is repeated over and over when dividing the numerator by the denominator of a fraction. For example, when you divide 1 by 3 (1/3), you will get a repeating decimal of 0.3333...since 3 goes into 10 three times with a remainder of 1 and will keep going. Likewise, when you divide 4/15, you get an initial value of 0.2, with a repeating 6, or 0.266666... Lastly, when you divide 5/6, you will get a repeating decimal of 0.833333.... The other answers will all be terminating decimals when you divide the numerator by the denominator. Terminating decimals mean the stop at some point and don't continue.
<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.
Since product means multiplication, 0.02 x 0.7 = 0.014
First is 0.06 and second 0.2
To find the intercepts you sub the opposite value for 0
To find y:
<span>Y=4(0)+7
0*4=0+7=7
y=7
To find x:
0=4x+7
Subtract 7 from both sides
-7=4x
divide both sides by 4
x=-7/4
Final answer:
x-intercept: (-7/4,0)
y-intercept: (0,7) </span>
