MATHEMATICS HIGH SCHOOL

Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat. The area of the square mat is half the area of one of the rectangular mats. What is the length and width of one rectangular mat?

Answers

Answer 1

Answer:

Answer with explanation:

→ Let L be the Length and B be the Breadth of rectangular mat.

Area of rectangular Mat = Length (L) * Breadth (B)

=L*B square units

→ Let , a be the side of Square.

Area of square =(Side)²

=a² square units

→→It is also, given that The area of the square mat is half the area of one of the rectangular mats.

$\rightarrow a^2=(LB)/(2)\n\nLB=2a^2\n\n \text{Length of one square mat(L)}=\frac{2a^2}{\text{Breadth(B)}}\n\n\L=\frac{2* {\text{Area of Square}}}{\text{Breadth of rectangle}}\n\nB=\frac{2* {\text{Area of Square}}}{\text{Length of rectangle}}$

Answer 2

Answer: So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 × x × y
This can be written as 2x × y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.

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Solve.
–30 = 6z
a. –5
b. –6
c. –24
d. –180

Answers

-30 = 6z

Plug in 6(-5) and you get -30

Answer is A

The correct answer is A. -5

What is y when x = 1?

Answers

Answer:

y = 380

Step-by-step explanation:

Pick any two points in table to find slope, let's use (4, 350) and (6, 330):

m = (y₂ - y₁) / (x₂ - x₁)

= (330 - 350) / (6 - 4)

= -20 / 2

m = -10

Pick any one point in table, let's use (4, 350) and slope m from above to find y-intercept:

y = mx + b

350 = -10(4) + b

350 = -40 + b

b = 390

Use m and b from above to form Equation of line:

y = mx + b

y = -10x + 390

Pick a few points from table to check equation y = -10x + 390 is valid:

Point (4, 350)

350 = -10(4) + 390

350 = -40 + 390

350 = 350

Point (8, 310)

310 = -10(8) + 390

310 = -80 + 390

310 = 310

What is y when x = 1:

y = -10x + 390

y = -10(1) + 390

y = -10 + 390

y = 380

The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.
B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.
C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.
D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.

Answers

it’s B figured it out got it

A scientist uses a submarine to study ocean life.• She begins at sea level, which is an elevation of o feet.
She travels down 31.6 feet.
• She then ascends 19.2 feet.
Next, she travels down a second time, 89.5 feet.
How many feet must she now ascend to get back to sea level?

Answers

since she is now 101.9 below sea level she will now need to ascend/go up 101.9 to reach sea level

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Answers

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How to plot the point (3,-7) on the coordinate plane

Answers

So, on a coordinate plane, also called a cartesian plane, there is the x and y axis.
Y is up and down, vertically & x is horizontal.
There is positive and negatives in coordinates.
The way the negatives and positives are positioned is like this:
The left hand side of the 'x axis' is negative.
The right hand side of the 'x axis' is positive.
The top part of the 'y axis' is positive.
The bottom part of the 'y axis' is negative.
Whilst plotting, you always start with the x axis. Considering 3 is a positive, you plot it on the right hand side. With your finger, mark out where the 3 is, and slide it down until you get to -7 on the plane.

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