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alina1380 [7]
3 years ago
15

The Art Club wants to paint a rectangle-shaped mural to celebrate the winners of the track and field meet. They design a checker

board background for the mural where they will write the winners’ names. The rectangle measures 432 inches in length and 360 inches in width. Apply Euclid’s algorithm to determine the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps.
Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

72 inches

Step-by-step explanation:

We are given that

Length of rectangle=423 inches

Width of rectangle=360 inches

We have to find the side length of the largest square they can use to fill the checkboard pattern completely without overlap or gaps with the help of Euclid's algorithm.

In order to find the largest side of square we will find HCF (432,360).

Euclid's algorithm

a=bq+r

a=dividend

b=divisor

q=quotient

r=remainder

a=432,b=360

432=360\times 1+72

360=72\times 5+0

HCF(432,360)=72

Hence, the side of largest square=72  inches

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What is the GCF of 96x5 and 64x2?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both  

The answer should be 32x2

Hope this helps

4 0
3 years ago
Read 2 more answers
What is the value of 5n-3 when n=5?
joja [24]

Answer:

22

Step-by-step explanation:

We are given the expression:—

\displaystyle \large{5n-3}

When n = 5, substitute/change n to 5:—

\displaystyle \large{5(5)-3}

Evaluate:—

\displaystyle \large{25-3=\boxed{22}}

__________________________________________________________

<u>Summary</u>

  <u>Substitution</u>

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression \displaystyle \large{2y-1} and we want to find the value when y = 4, simply replace y-term to 4.

\displaystyle \large{2(4)-1=8-1=\boxed{7}}

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

8 0
2 years ago
Someone pls help me.
nydimaria [60]
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector

I’ll take you through it step-by-step

Area of the arc:

We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared

68.9/360 x pi x 86.1184= 51.78 (2dp)

Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC

You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)

Now since you want the area of the segment shaded, just find the difference between these two values.

51.78-40.17 = 11.61
Answer= 11.6cm squared

Hope this helped!
3 0
3 years ago
[y = x + 4][3x -2y =-7] substitution
tia_tia [17]

Answer:

x=15, y=19

Step-by-step explanation:

3 0
3 years ago
Nancy was keeping track of how many miles she ran each month. In April, she ran 25 miles. In May, she ran 34 miles, and in June,
Elanso [62]

Answer:

She ran 101 miles within the 3 months. an estimate would be around 100

4 0
3 years ago
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