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I need help with this math, it is hard and I’m not good at it. I don’t understand this math so plz help me.

klasskru [66]

142 hope I’m right this time

6 0

3 years ago

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and sm

Lisa [10]

The formula can also be proved using a trigonometric substitution . Each of above proofs will generalize to show that the volume of an ellipsoid with semi-axes A, B and C is just

(4/3)*Pi*A*B*C

6 0

3 years ago

Read 2 more answers

Question 1 What is the answer to the following integer operation: - 8 + 3

SashulF [63]

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

8 0

3 years ago

Preview Activity 3.5.1. A spherical balloon is being inflated at a constant rate of 20 cubic inches per second. How fast is the

ArbitrLikvidat [17]

Answer:

The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.

Because $\frac{dr}{dt}=\frac{5}{36\pi }>\frac{dr}{dt}=\frac{5}{64\pi }$ the radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Let $r$ be the radius, $d$ the diameter, and $V$ the volume of the spherical balloon.

We know $\frac{dV}{dt}=20 \:{in^3/s}$ and we want to find $\frac{dr}{dt}$

The volume of a spherical balloon is given by

$V=\frac{4}{3} \pi r^3$

Taking the derivative with respect of time of both sides gives

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

We now substitute the values we know and we solve for $\frac{dr}{dt}$ :

$d=2r\\\\r=\frac{d}{2}$

$r=\frac{12}{2}=6$

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=\frac{20}{4\pi(6)^2 } =\frac{5}{36\pi }\approx 0.044$

The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.

When d = 16, r = 8 and $\frac{dr}{dt}$ is:

$\frac{dr}{dt}=\frac{20}{4\pi(8)^2}=\frac{5}{64\pi }\approx 0.025$

The radius is increasing at a rate of approximately 0.025 in/s when the diameter is 16 inches.

Because $\frac{dr}{dt}=\frac{5}{36\pi }>\frac{dr}{dt}=\frac{5}{64\pi }$ the radius is changing more rapidly when the diameter is 12 inches.

8 0

3 years ago

Can someone help meeee

Vlada [557]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

4 0

3 years ago