Solution:
Total number of Days that Pooja's plant survived= 2 + 98 = 100 Days=(t)
Longest Height obtained by plant = 30 cm= h
As the two , i.e number of Days lived by plant and it's longest height obtained are directly proportional.
We will solve it by unitary method.
100 Days = 30 cm
1 cm = Days
If height of the plant is h cm ,and amount of time taken is t days, then
h(t) cm = ,for t=0,1,2,3,4,5,6....we get different values of h.
4(10x)
or
4×10x
im sorry if this is incorrect..i tried
The volume of the ball is 33.5 cubic centimeter.
<u>Step-by-step explanation:</u>
It is given that, a ball has a radius of 8 cm.
We know that, the ball is in shape of the sphere.
The question is asked to find the volume of the ball.
To find the volume of the ball, you need to use the formula for volume of the sphere.
Volume of the sphere = (4/3)πr³
where,
- π has the default value of 3.14
- r is the radius of the ball.
Volume of the ball = (4/3)× 3.14× 8
⇒ 33.49
⇒ 33.5 (rounded to the nearest tenth)
⇒ 33.5 cubic centimeter.
∴ The volume of the ball is 33.5 cubic centimeter.
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.