MATHEMATICS MIDDLE SCHOOL

10. Make Sense and Persevere The flag of theBahamas includes an equilateral triangle. The
perimeter of the triangle is P= 3s, where s is
the side length. Solve for s. Use your formula to
find the dimensions of the flag in feet and the
area in square feet when the perimeter of the
triangle is 126 inches.

Answers

Answer 1
Answer:

Answer:

  • s=(P)/(3)
  • Dimensions of the flag:

       lenght=6.65\ ft\n\nwidth=3.5\ ft

  • Area of the flag: 23.275\ ft^2

Step-by-step explanation:

The missing figure of the exercise is attached.

We know that the perimeter of the triangle is given by:

P= 3s

Where "s" is the side lenght of the triangle.

Solving for "s", we get:

s=(P)/(3)

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

s=(126\ in)/(3)\n\ns=42\ in

 Since  1\ ft=12\ in, we know that "s" in feet is:

s=(42\ in)((1\ ft)/(12\ in))=3.5\ ft

The area of a rectangle can be calculated with this formula:

A=lw

Where "l" is the lenght and "w" is the width

We can observe in the figure that the lenght and the width of the flag are:

l=1.9s\nw=s

Then, the dimensions of the flag are:

l=1.9(3.5\ ft)=6.65\ ft\nw=3.5\ ft

And the area is:

A=(6.65\ ft)(3.5\ ft)=23.275\ ft^2

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How do I transform the equations 5x+4y=8 and -2x+5y=30 so that they are in the form that y=MX+b?

Answers

4y=5x+8 5y=-2x+30 the y always goes first. then the equal sign. next is x and finally just the digit which is also known as "b".
Make y the subject for both equations: 

5x + 4y = 8
4y = -5x + 8 
y = -(4/5)x + 8

-2x + 5y = 30
5y = 2x + 30
y = (2/5)x + 6

There you go, both equations are in y = mx + b for :) 

Sam and lou need a total of 1 foot of wire for a science project.sam wire is 8 out of 2 n lou is 7 out of 8.Do they have enough.

Answers

≈ 12 in = 1 ft. ≈
8/2 in = 4 in 
7/8 in = 7/8 in
4 + 7/8 = 4 7/8
No. They do not have enough.
How about you get a ruler and add all there inches up and see if you get 1 foot✔️✔️✔️

Reasoning What number has factors of 2 and 3 and multiples of 12 and 18?

Answers

2x3= 6 so that's a check

12/6=2 so there's another check

18/6=3 so there's a 3rd check

SIX is the correct answer (:
We will get 1 as the answer .

ΔABC is similar to ΔDEF. The ratio of the perimeter of ΔABC to the perimeter of ΔDEF is 2 : 11. If the longest side of ΔABC measures 15 units, what is the length of the longest side of ΔDEF?

Answers

Answer:

82.5 cm

Step-by-step explanation:

For similar triangles, ratio of perimeter will equal to ratio of sides.

Here we are given that triangles ABC and DEF are similar.

This implies the corresponding sides are proportional.

By corresponding we mean that the longest sides of ABC with the longest side of DEF.

Hence Longest side of ABC/Longest side of DEF = Ratio of sides

= Ratio of perimeter.

Let the longest side of DEF be x.

i.e. 15/x = 2/11

Cross multiply to get

2x = 165

Divide by 2

x = 82.5 cm.

Hence the longest side of Triangle DEF = 82.5 cm.

Verify:   Check proportions of longest sides

= (15)/(82.5) =(2)/(11) which equals ratio of perimeters.

Thus verified.

Perimeter area how does it work

Answers

add all the sides together
perimeter= adding all sides together

Area= base x height

Convert 1/9 into a decimal

Answers

(1)/(9) = 0.11

Move the decimal two places to the left.
Convert 1/9 into a decimal?  1/9 is a recurring decimal and is equal to 
0.1111111......... tending to ∞
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