7)

If the triangle is

lana [24]

Answer:

Obtuse

Step-by-step explanation:

plzzz give brainliest

5 0

3 years ago

An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne

lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0

3 years ago

Make a table for the following equations<br> y = 2x + 4

nekit [7.7K]

In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.

If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

$f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4$

$f(x)=2x+4\implies f(1)=2\cdot 1 + 4 = 6$

$f(x)=2x+4\implies f(2)=2\cdot 2 + 4 = 8$

$f(x)=2x+4\implies f(3)=2\cdot 3 + 4 = 10$

$f(x)=2x+4\implies f(4)=2\cdot 4 + 4 = 12$

So, we have the following table

$\begin{array}{c|c}0&4\\1&6\\2&8\\3&10\\4&12\end{array}$

4 0

3 years ago

What is the value of x in this proportion?

astra-53 [7]

Answer:

(a) x=−20 1/2

Step-by-step explanation:

Multiply by the product of the denominators and solve the resulting linear equation in the usual way.

$\dfrac{2}{7}=\dfrac{-5}{x+3}\\\\2(x+3)=-5(7)\qquad\text{multiply by $7(x+3)$}\\\\2x+6=-35\qquad\text{simplify}\\\\2x=-41\qquad\text{subtract 6}\\\\\boxed{x=-20\dfrac{1}{2}}\qquad\text{divide by 2}$

6 0

2 years ago

Angle mIJK=180, angle mIJU = 3x-7, and angle mUJK=17x + 7 find angle mIJU

Andrej [43]

Answer:

The measure of angle IJU is 20 degrees.

Step-by-step explanation:

In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.

(3x - 7) + (17x + 7) = 180 ----> Combine like terms

20x = 180 -----> Divide by 20

x = 9

Now that we have this, we can stick the value into the equation and solve for IJU.

IJU = 3x - 7

IJU = 3(9) - 7

IJU = 27 - 7

IJU = 20

3 0

3 years ago