If a rectangle measures 20 meters by 48 meters, what is the length, of the diagonal of the rectangle? Can you help me with this one ?

Answers

Answer 1

Answer: $the \ width \ of \ the \ rectangle : \ w=20 \ m \n \n the \ length \ of \ the \ rectangle : \ l=48 \m \n \n Diagonal : \ √(w^2 + l^2)\n \nD =√(20^2 + 48^2) \n \nD=√(400+2304)=√(2704)= 52 \ m$

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How many 2 inch cubes are needed to completely fill a cubic box of edges 8 inches?

Answers

64 of them because 2 inch cubes are needed to completely fill a cubic box of edges 8 inches

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Svetlana has 1.2kg of apples and plenty of the other ingredients. She wants to make apple crumble for a maximum number of people. What is the maximum number of people she will be able to serve?You must show your working

Answers

12 number of maximumpeople she can serve.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Amount of Apples = 750 g

and, Svetlana has 1.2 Kg of apples

So, number of people she can serve

= 1200/750 x 8

= 1.6 x 8

= 12.8

= 12 people.

Hence, 12 number of maximum people she can serve.

Learn more about Unitary Method here:

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Simplify 12+3[5+(4-2)]

Answers

Hey there,

12+3(5+2)

12+(3)(7)

12+21=33

Your final answer is 33

Good evening

12+3[5+(4-2)]

= 12+3(5+2)

= 12+3(7)

= 12+ 21

= 33

I hope that's help and if you have questions please let me know !

Which irrational number can be multiplied by - 41 to get a product that equals 1?200
SSG

Answers

Answer:

- (1/41)

Step-by-step explanation:

1/41 * 41 = 1, so you just need to multiply this equation by -1 to find the answer.

The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n

Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]

Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]

Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]

Step 4:
0 = −24 − 2n

Step 5:
n = −12

In which step did the student first make an error?

Step 4

Step 3

Step 2

Step 1

Answers

The student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.

What is the elimination method?

To create an equation in one variable using the elimination method, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

How to solve this problem?

Notice that the student uses the elimination method to solve the equations. In Step 1, he makes the coefficients of m equal in both equations. In Step 2, he simplifies the previous step. In Step 3, he wants to add both equations to create an equation in one variable. But He forgot to add 4 of Equation 2. It's a mistake.