Which is more 134 minutes or 2 hours?

Matteo is 4 feet 3 inches tall. Nico is 3 feet 11 inches tall. How much taller is Matteo

Ratling [72]

Matteo is 4 inches taller than Nico.

Sarah is wrong because she didn't consider the conversion rate from ft to inches.

We are told that;

Height of Matteo = 4 feet 3 inches

Height of Nico = 3 feet 11 inches.

Now to find the difference in height, we need to first convert both of their heights to inches.

From conversion tables, we know that;

12 inches = 1 ft.

Thus, their height in inches is;

Height of Matteo = (4 × 12) + 3 = 51 inches

Height of Nico = (3 × 12) + 11 = 47 inches

Thus, difference in height = 51 - 47 = 4 inches.

Thus, Matteo is 4 inches taller than Nico.

Looking at the method of Sarah, she didn't consider that the unit she was working with. If it was just units and tens subtraction, that method would have worked but she ought to have added 12 to 3 since it is from ft to inches instead of 10 to 3 as in the case of regular numbers without units.

Read more at; brainly.com/question/16978154

6 0

3 years ago

Translate to a quadratic equation, then solve using the quadratic formula. The length of a rectangular air filter is 3 inches l

balu736 [363]

Answer:

Width of the rectangle = 17 inches

Length of the rectangle = 31 inches

Step-by-step explanation:

Let w be the width of the rectangle.

Given:

Width of the rectangle = w

Length of the rectangle = 2w - 3

Area of the rectangle $=527\ inches^{2}$

Solution:

We know that the area of the rectangle.

$Area\ of\ rectangle = length\times width$

$w(2w-3)=527$

$2w^{2}-3w-527=0$

Now, we first find the root of the above equation.

Use quadratic formula with $a=2, b=-3, c=-527$ .

$t=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put a, b and c value in above equation.

$w=\frac{-(-3)\pm \sqrt{(-3)^{2}-4(2)(-527)}}{2(2)}$

$w=\frac{3\pm \sqrt{9+8\times 527}}{4}$

$w=\frac{3\pm \sqrt{9+4216}}{4}$

$w=\frac{3\pm \sqrt{4225}}{4}$

$w=\frac{3\pm 65}{4}$

For positive sign

$w=\frac{68}{4}$

w = 17 inches

So, width of the rectangle is 17 inches.

Length of the rectangle.

$Length = 2\times w-3$

$Length = 2\times 17-3$

$Length = 34-3$

Length = 31 inches

So, length of the rectangle is 31 inches.

Therefore, width and length of the rectangle is 17 inches and 31 inches.

5 0

4 years ago

(2)

kicyunya [14]

The perimeter of the figure is 58 units

The area of the figure is 130 unit square

Your question is not properly formatted and the diagram required to solve the question is missing.

I've included the appropriate diagram.

To calculate the perimeter of the shape, we simply add up the side lengths of the visible parts of the figure.

Having said that, the perimeter is:

$Perimeter = 7 + 8 + 5 + 8 + 3 + 6 + 3 + 5 + 7 + 6$

$Perimeter = 58$

To calculate the area, we use a different approach.

First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.

From left to right, we have:

Rectangle 1

$Length = 7\\Width = 6$

Rectangle 2

$Length = 5\\Width = 6+8 = 14$

Rectangle 3

$Length = 3\\Width = 6$

The area of a rectangle is:

$Area = Length * Width$

So, the area of the figure is:

$Area = 7 * 6 + 5 * 14 + 3 * 6$

$Area = 130$

Learn more at:

brainly.com/question/2649416

5 0

3 years ago

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

3 years ago

What's the precise measurement for 1ft;12in?

Keith_Richards [23]

12 in = 1 ft
so 1 ft :12 in = 2 ft

8 0

4 years ago