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4 years ago

How many sets of a,b,c are there such that they are all non-negative integers and a+b+c<10?

Mathematics

1 answer:

qwelly [4]4 years ago

3 0

10 sets hope this helped (im pretty sure its right)

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A juggler throws a beanbag into the air with a speed of 1.0 \dfrac{\text m}{\text s} 1.0 s m 1, point, 0, start fraction, star

aivan3 [116]

Answer:

0.102 s

Step-by-step explanation:

Given the following :

Initial speed (u) = 1 m/s

How long does it take the bean bag to reach maximum height?

At maximum height, the final velocity v = 0

Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²

Using the relation:

v = u + gt

0 = 1 - 9.8t

9.8t = 1

t = 1 / 9.8

t = 0.102 s

7 0

3 years ago

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

a man income is rs12000 per month,if the rate of income tax is rs 2.50per rs 100,how much tax should be paid?

Setler [38]

Answer:

2.50/100*12000

2.50*12000/100

=300

5 0

4 years ago

Sloane kicked a soccer ball at a speed of 48 feet per second. If the ball never leaves the ground, then it can be represented by

Ierofanga [76]

Answer:

For t = 0.33 s, H = 14.0976 feet;

For t = 3 s, H = 0 feet;

For t = 16 s, H = -3328 feet;

For t = 48 s, H = -34560 feet.

Step-by-step explanation:

Assuming there's a typo on the problem and it wishes to determine the distance traveled by the ball in the given times instead of the time, we can solve it as shown below:

For t = 0.33 s:

$H(t) = -16*t^2 + 48*t\\H(0.33) = -16*(0.33)^2 + 48*0.33\\H(0.33) = -1.7424 + 15.84\\H(0.33) = 14.0976 \text{ feet}$

For t = 3 s:

$H(t) = -16*t^2 + 48*t\\H(3) = -16*(3)^2 + 48*3\\H(3) = -144 + 144\\H(3) = 0 \text{ feet}$

For t = 16 s:

$H(t) = -16*t^2 + 48*t\\H(16) = -16*(16)^2 + 48*16\\H(16) = -4096 + 768\\H(16) = -3328 \text{ feet}$

For t = 48 s:

$H(t) = -16*t^2 + 48*t\\H(48) = -16*(48)^2 + 48*48\\H(48) = -36864 + 2304\\H(16) = -34560 \text{ feet}$

7 0

3 years ago

Read 2 more answers

Which inequality represents this sentence? Seven times six is less than or equal to nine times five.

Amiraneli [1.4K]

the answer is D

I hope this helps

4 0

4 years ago