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faust18 [17]
1 year ago
6

Divide 2x3 + 4x2 – 5 by x + 3 using long division and synthetic division.

Mathematics
1 answer:
sleet_krkn [62]1 year ago
5 0

Answer:

i dont like division

Step-by-step explanation:

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If m∠C = 90°, side c = 29, and side a = 21, then side b = ___. 20 19 22 17
den301095 [7]

Answer:

b) 20

Step-by-step explanation:

Here m∠C = 90, It is a right triangle.

So we can use the Pythagorean theorem.

b = √(c^2 - a^2)

Given: a =21 and c = 29. Now let's plug in these values in the above formula, we get

b = √(29)^2 - (21)^2

b = √(841 - 441)

b = √400

b = 20

Therefore, the side length b = 20.

Hope this will helpful.

Thank you.

7 0
2 years ago
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The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets contain 190 calories, and 114 calorie
PIT_PIT [208]
The percent of total calories from fat is 60%

Step-by-step work:

190 calories is the total amount of calories in the chicken nuggets and 114 calories are from fat so you could write that as:

114/190

now remember that a “/“ also means divide, so divide the fraction:

114/190 = 0.6

0.6 is the decimal form of 114/190

then since percentages are out of 100, you multiply it by 100:

0.6 • 100 = 60

and 60% is your final answer!
4 0
2 years ago
Read 2 more answers
Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
2 years ago
Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dolla
lora16 [44]

Their money rate is the same as ours so  $150- 20= $ !30

3 0
2 years ago
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The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given b
kondor19780726 [428]
H = V / B
<span>= 10x3 + 46x2 – 21x – 27 /  2x^2 + 8x - 9
</span>= 5x + 3
8 0
2 years ago
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