PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Does anyone know the answer??

statuscvo [17]

Answer:

b = 60

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 63² = 87²

b² + 3969 = 7569 ( subtract 3969 from both sides )

b² = 3600 ( take the square root of both sides )

b = $\sqrt{3600}$ = 60

8 0

2 years ago

Pleaseeee help meeeeeee

Allisa [31]

Take your choice of the trig function you would like to use.
∠B = arcsin(24/26) = arccos(10/26) = arctan(24/10) ≈ 67.38°

8 0

3 years ago

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

2 years ago

Write down 4 odd digit numbers that will add up to 19

yawa3891 [41]

<h2>There is no 4 odd digits that will add up to 19.</h2>

3 0

3 years ago

What is the final step to be performed when computing σ(x - 2)2??

jasenka [17]

<span>σ</span> is a symbol for summation that means that it is used to add all the vales of the equation in the range for example taking 0<x<4 and x is an integer so Ď(x - 2)^2= (1-2)^2+(2-2)^2+(3-2)^2 The options were a. Square each value b. Subtract 2 points from each score C. Sum the squared values d. Subtract 22 from each X2 value As we can see above the answer is C. Sum the squared values

5 0

3 years ago