All categories

3 years ago

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?

1 answer:

5 0

59.4cm
Use Pythagorean theorem to find the diagonal (^ means exponent)
a^2 + b^2 = c^2
42^2 + 42^2= c^2
1764+1764=c^2
3528=c^2
square root both sides
c= 59.39696962
round and you get 59.4 cm

You might be interested in

Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

2 years ago

Madeline drew a grid of 5 cells in a row.

masha68 [24]

Answer:d

Step-by-step explanation:

7 0

2 years ago

HURRY UP I AM DIENG I WILL GIVE BRAINLIESTThe area of the parallelogram below is ____ square meters.

polet [3.4K]

Answer:

42m

Step-by-step explanation:

First we need to find the base, which is 6 and the height which is 7. Then, multiply 6 and 7 to get 42. Then add your units, which are meters. So, 42m is your answer. I hope this helps! :)

7 0

2 years ago

Read 2 more answers

In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the len

Andrei [34K]

Answer:

Step-by-step explanation:

every 2 sides of a triangle has to be bigger than the 3rd side

8 0

2 years ago

Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that e Superscript x is pos

shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

$f'(x)= -e^{-4x}(11+4x)$

And then we get that if $11+4x = 0$ then $x = -11/4$ . So it has a critical point at $x = -11/4$ .

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

6 0

3 years ago

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this​ paper?

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?