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solniwko [45]
3 years ago
13

Use square tiles make as many different rectangles as you can with area 36 square units draw your rectangle on grid paper. Is 36

a perfect square? Justify your answer.
Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
6 0
You could make rectangles that measure 1 x 36 tiles, 2 x 18 tiles, 3 x 12 tiles, 4 x 9 tiles, or 6 x 6 tiles. As you can see by playing this game with the tiles, 36 is the square of 6. It's also the square of -6 .
grin007 [14]3 years ago
4 0
It could be, because a 6x6 square has an area of 36, and it is a perfect square.
You might be interested in
Item 11
marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

7 0
3 years ago
The following function represents the value of a car, in dollars, after x years:
Assoli18 [71]

Answer:

Option D.The decrease in the value of the car, which is 8%

Step-by-step explanation:

we have a exponential function of the form

f(x)=a(b)^{x}

where

y is the value of the car

x is the time in years

a is the initial value

b is the base

r is the rate of decrease

b=1+r

In this problem we have

a=$24,000 initial value of the car

b=0.92

so

0.92=1+r

r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease

8 0
3 years ago
Read 2 more answers
P = a^b + b^a. Given a,b,p are prime numbers. find the value of p
VARVARA [1.3K]
2³   +  3² = 2*2*2+3*3= 8+9=17
a=2,
b=3,
P= 17,
2,3,17 are all prime numbers

4 0
3 years ago
The Jaxon High School prom committee has 100 thumb drives to sell in a fundraiser. The function f(x) = 8x – 200 models their inc
Alina [70]

Answer:

25 = x

Step-by-step explanation:

Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...

0 = 8x - 200  ... add 200 on both sides

200 = 8x   ... divide both sides by 8

25 = x

Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.

5 0
2 years ago
The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?
Ann [662]

Answer:

k=-\frac{1}{4}

Step-by-step explanation:

we have

Line 1

y=4x+1

Equation in slope intercept form

The slope is equal to

m_1=4

Line 2

y-kx=10

y=kx+10

Equation in slope intercept form

The slope is equal to

m_2=k

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

m_1*m_2=-1

substitute

(4)(k)=-1

k=-\frac{1}{4}

3 0
3 years ago
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