MATHEMATICS HIGH SCHOOL

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.Draw and label the dimension of a scale drawing of Mai’s kitchen, using a scale of 1 to 40.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

This is an easy problem to work out, but a little hard to explain with just words and not a drawing.

Do you understand "scale"? As in a "map scale"? So many inches equals one mile or one kilometer?

If you were to draw this kitchen at "full scale" you'd need a really big piece of paper, right? 6m by 2m at least.

But that's not very helpful, so you "scale" it down. What if you divided each measurement by 2? Then your piece of paper would 'only' need to be 3m by 1m. Still too big though, right?

So cut each measurement in half again, and you're down to 1.5m by 0.5m. Getting better. What we just did there is a "scale of 1 to 4," often written as 1:4. (Cutting in half twice is 1/4th, or 1:4.)

But the problem specifies 1:40, so simply divide by 10 now, and you no longer need a piece of paper 1.5m x 0.5m, but only 0.15m (15cm) by 0.05m (5cm).

So on a piece of paper and draw a line 15cm long. That's the scaled graphical representation of the long side of Mai's kitchen. 6m in the real world is 600cm. Divide that by the "scaling factor" of 40 to get 15cm that you draw on your paper.

The other side of her rectangular kitchen scales down to 5cm. (200cm/40). So add that as the short leg, then complete the other two sides of the rectangle.

When they say to scale something down, simply divide all the dimensions by the scaling factor.

(If you were to scale up, you'd multiply by the scaling factor.)

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The length of a room is 5 more than twice its width. If the total perimeter is 40 meters, what is the width of the room? Simplify the following expression:

Answers

Answer:

width = 5 m

Step-by-step explanation:

let the width of the room be w then the length = 2w + 5 ( that is 5 more than twice its width )

perimeter is the sum of the sides

for a rectangular room the perimeter is calculated as

perimeter = 2 ( length + width ) = 2(2w + 5 + w) = 2(3w + 5)

given the perimeter is 40 m , then equating

2(3w + 5) = 40 ( divide both sides by 2 )

3w + 5 = 20 ( subtract 5 from both sides )

3w = 15 ( divide both sides by 3 )

w = 5

that is the width of the room is 5 m

What are the solution(s) to the quadratic equation 9x2 = 4?x =4/9 and x = -4/9
x = 2/3 and x = -2/3
x = 3/2 and x = -3/2
no real solution

Answers

we have

$9x^(2)=4$

Divide both sides by $9$

$9x^(2)/9=4/9$

$x^(2)=4/9$

Square root both sides

$x=(+/-)\sqrt{(4)/(9)}$

$x=(+/-)(2)/(3)$

the solutions are

$x1=(2)/(3)$

$x2=-(2)/(3)$

therefore

the answer is the option

x = 2/3 and x = -2/3

The solutions to the quadratic equation; 9x2 = 4 are; x = 2/3 and x = -2/3.

Quadratic solutions

The given quadratic equation is;

9x² = 4.

Hence, upon evaluation; we have;

x² = 4/9

Hence, x = ±2/3

Therefore, x = 2/3 and x = -2/3

Answers

When you are given two points of a line, you can find the slope of the line.

Let's say that the two points we are given is $\sf(x_1,y_1) ~and ~(x_2,y_2)$ , then the slope is:

$\bf{Slope = (y_2-y_1)/(x_2-x_1)$

Another thing to keep in mind:

When you have 0 in the numerator, and a number in the denominator, that means that the slope is 0.
When you have 0 in the denominator, and a number in the numerator, that means that there is no slope, or that the slope is undefined.

HELPPPPP PLZ AND THANK U

Answers

5/4 x 4/3 x 3/5
= 1cm

The answer is 1cm

Hope this helps!

Answer:

0.6

Step-by-step explanation:

multiply all of the numbers

Solve the equation for x:
2(8x – 16) = 48

Answers

16x-32=48 /+32
16x=80/:16
X=5

Answer:

The answer would be 5

Step-by-step explanation: Plz mark brianliest

For this Punnett Square, "A" is defined as being the dominant normal allele and "a" is the recessive abnormal one that is responsible for an inherited disorder. If both the mother and father are healthy carriers (Aa), what are the chances that their offspring will have the recessive disorder (aa)? a. 2% b. 25% c. 50% d. 75%

Answers

I absolutely love genetics!! Okay the answer is b. Because if you match it it will look like this. AA, Aa, Aa, aa. And there are four choices, and one is homozygous recessive, which is the aa. And 1/4 is 25% so it's B!!!!

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