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3 years ago

What if the length of each side of the cube?

Mathematics

1 answer:

Leni [432]3 years ago

4 0

I think the length of each side of the square would be 7 inches. because 294/6= 49. The perimeter of each square is 49 so 49 to the square root is 7. So I think that's why each length is 7in. Sorry if I'm incorrect

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(Please answer before 5:15 P.M tonight)

taurus [48]

The scale factor of dilation from ABC to $A^{1} B^{1} C^{1}$ is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle $A^{1} B^{1} C^{1}$ are as follows;

$A^{1}$ = (2, 3), $B^{1}$ = (2, 1), and $C^{1}$ = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of $A^{1} B^{1} = 3-1=2$ , the distance of $B^{1} C^{1} = 3-2=1$ .

The distance of AB $=9-3=6,$ the distance of BC $= 7-4=3.$

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = $\frac{2}{6} = \frac{1}{3} = 0.333.$

The scale factor for BC = $\frac{1}{3} = 0.333.$

7 0

3 years ago

The table represents some points on the graph of a linear function.

labwork [276]

Answer:

Step-by-step explanation:

4 0

2 years ago

Does 25/60 and 8/20 form a proportion ?

notka56 [123]

Answer:

No.

Step-by-step explanation:

Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.

Multiply 3 to both the numerator & denominator of 8/20

(8/20)(3/3) = 24/60

24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.

7 0

3 years ago

F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte

Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

2x² - x -1 = 0

( x - 1) (2x + 1) = 0

x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½ = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

x² + 2 = 0

x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

$\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}$

The function is concave up on (0, ∞).

6 0

3 years ago

A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza cost $8. Each additional inch cost

Katyanochek1 [597]

A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.

The equation that represents the cost of a pizza is:

P = $10 + $1.50a + $0.75b

Where 'a' represents the number additional inches and 'b' represents the number of additional toppings.

4 0

2 years ago