Answer:
Note:
Three-tenths reapeating is 
Answer:
<h2>k = -1</h2>
Step-by-step explanation:
We have the point (5, k) and the equation 2x + y = 9.
Put the coordinates of the point ot the equation:
x = 5, y = k
2(5) + k = 9
10 + k = 9 <em>subtract 10 from both sides</em>
10 - 10 + k = 9 - 10
k = -1
Answer:
The answer is B.
Step-by-step explanation:
You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :
Let a = 40,
Let b = 9,
*Take note, hypotenuse will <u>a</u><u>l</u><u>w</u><u>a</u><u>y</u><u>s</u><u> </u><u>b</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>o</u><u>n</u><u>g</u><u>e</u><u>s</u><u>t</u><u> </u><u>l</u><u>e</u><u>n</u><u>g</u><u>t</u><u>h</u> among the 3 lengths.
*Pythogorean Theorem can only applied in a right-angle triangle.
Answer:
11. 
12. 
13. 
14. 
15. 
16. 
17. 
18. 
Step-by-step explanation:
In all of them you just subtract the bottom exponent from the top exponent.
C) 1059 skittles
Step-by-step explanation:
We know that the first container held 192 skittles. Knowing the dimension of the container we can calculate the volume of 192 skittles:
Volume of 192 skittles = 5 × 4 × 4 = 80 cm³
Volume of 1 skittle = 80 / 192 = 0.42 cm³
We also know that the second container held 258 skittles. Knowing the dimension of the container we can calculate the volume of 258 skittles:
Volume of 258 skittles = 12 × 3 × 3 = 108 cm³
Volume of 1 skittle = 108 / 258 = 0.42 cm³
We found that the volume of 1 skittle is equal to 0.42 cm³. Now we calculate the volume of the skittles jar:
volume of cylinder = π × radius² × height
volume of skittles jar = 3.14 × 3.5² × 11.5 = 442 cm³
Now we can calculate the number of skittles in the jar:
number of skittles in the jar = volume of the jar / skittle volume
number of skittles in the jar = 442 / 0.42 = 1052 which is close the C) 1059
Learn more about:
volume of cylinder
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