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2 years ago

I need help on 2 3 and 4

Mathematics

2 answers:

Alex777 [14]2 years ago

8 0

2)Length of square’s side=2a^3 b

Area of square = (Length)^2

Area of the square= (2a^3 b)^2
= 4a^6b^2
Therefore answer is= 4a^6b^2

ki77a [65]2 years ago

7 0

Answer:

2. 4a^6b^2

3a. False

3b. False

3c. False

3d. True

4. C

Step-by-step explanation:

I think this is right but I'm not sure, this is some tough stuff.

Good luck!

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Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?

Contact [7]

For each coin, there are 2 outcomes, heads (H) or tails (T), so for the 3 coins, the number of outcomes are:

2 x 2 x 2 = 8 outcomes:

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are 3 ways, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0

3 years ago

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

snow_lady [41]

Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

K = 0.006 × 16

K = 0.096 Nm²

Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

F = 0.096 / d²

Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

7 0

3 years ago

Find the value of the x in the equation 4(6x-9. 5)=46.

Alborosie

Following are the calculation to find the value of x:

Given:

$\to 4(6x-9. 5)=46\\$

To find:

x=?

Solution:

$\to 4(6x-9. 5)=46\\\\\to 24x- 38.0=46\\\\\to 24x =46-38\\\\\to 24x= 8\\\\\to x= \frac{8}{24}\\\\\to x= \frac{1}{3}\\\\$

Therefore, the final answer is " $\bold{\frac{1}{3}}$ ".

Learn more:

brainly.com/question/4921853

6 0

3 years ago

How do I find the volume of this right triangular prism?

frozen [14]

I’ll try to make a step by step demonstration! Feel free to skip to step 5 for the answer, though
1. The formula for a right triangular prism is (1/2)*base*height*length, and we know what the base (4 cm) and length (8 cm) are, but not the height
2. To find the height we must divide the side triangle into two, which then gives us two right triangles
3. Focusing on just one of the right triangles, its base will be 2 cm rather than 4 (as it has been divided by two) and its hypotenuse will be 4 cm; using Pythagorean’s theorem (a^2 + b^2 = c^2), solve for the missing side (the height), which should end up being √12
4. Multiply! (1/2)4*√12*8 ≈ 55.425
5. Round to the nearest tenth —> 55.4
I hope this helped somewhat! Comment if clarification is needed

8 0

3 years ago

Solve for x -4(-5x+2)-3x-5=-30

valentina_108 [34]

Answer:

x=-1

Step-by-step explanation:

-4(-5x+2)-3x-5=-30

open the bracket

+20x-8-3x-5=-30

collect like terms

20x-3x-8-5=-30

17x=-30+13

17x= - 17

divide both sides by 17

x= -1

5 0

3 years ago

Read 2 more answers