X = slide height
sine (35) = opp / hypotenuse
sine (35) = x / 4.1
x = 0.57358 * 4.1
x =
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2.351678
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meters
Okay to the nearest meter it is 2
Answer:
$118.25
Step-by-step explanation:
Always convert the percentage to a decimal by moving the decimal two points to the right/dividing by 100. So 7.5 % = 0.075
110 x 0.075 = 8.25 (the amount of tax added)
110 + 8.25 = 118.25
You can also multiply 110 by 1.075, where the "1" is the $110 and the ".075" is the tax, and save the step of adding. 110 x 1.075 = 118.25
Step-by-step explanation:
t8 = a1 + (n - 1)*d
t8 = 17
17 = a1 + 7*d
t12 = 25
25 = a1 + 11d
17 = a1 + 7d Subtract
8 = 4d Divide by 4
8/4 = 4d/4
2 = d
17 = a1 + 7d
17 = a1 + 7*2
17 = a1 + 14 Subtract 14
3 = a1
Sum 20 terms
The 20 term = a1 + 19*2
The 20 term = 3 + 38
= 41
Sum = (a1 + a20) * 20 / 2
Sum = (3 + 41)* 20/2
Sum = 44 * 10
Sum = 440
Hi!
Let's separate this shape into three sections to make it easier to find the area. (see image)
Let's start with the green shape.
The base of the green shape is 20. The height is 6.
20 x 6 = 120
Now the blue shape.
The base of the blue shape is 20, the height is (9 + 6) 15.
20 x 15 = 300
Now the red shape.
The base of the red shape is (20 - 10) 10, the height is 5.
10 x 5 = 50
Add all of the areas together.
120 + 300 + 50 = 470
The answer is
470Hope this helps! :)
Answer:
B Survey a random sample of eighth-grade students
Step-by-step explanation:
In order to reach the best conclusion without biased data, the best sampling method would be B because not only does it survey 8th graders, but it also surveys a random group, ensuring that not all of the students are potentially excelling in and/or having trouble with homework.