Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please

Answer:

[tex]D(x)= x\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex]Side = x[/tex]

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

[tex]D^2= Side^2 + Side^2[/tex]

Substitute x for Side

[tex]D^2= x^2 + x^2[/tex]

[tex]D^2= 2x^2[/tex]

Take the square root of both sides

[tex]D= \sqrt{2x^2[/tex]

Split

[tex]D= \sqrt{2} * \sqrt{x^2[/tex]

[tex]D= \sqrt{2} * x[/tex]

[tex]D= x\sqrt{2}[/tex]

Express as a function.

[tex]D(x)= x\sqrt{2}[/tex]

Answer:

1 is the answer to your question mate

Answer:

original price $450 saved $145 the percent its sold for is 70%

Answer:

Fraction-5/2

Decimal-.025

percent-2.5%

Step-by-step explanation:

Answer:

Fraction : 1/4

Decimal: 0.25

Percent: 2.5%

Explanation

Answer:

Well in my opinion a is negative correct me if I'm wrong. If you have more than one try you should pick  B

Step-by-step explanation:

Answer: Zero

Step-by-step explanation: Zero because you can't divide 0 by 0

Answer:

I'll give you the answer. This is system of equations, yes?

Answer:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]

Step-by-step explanation:

We are given:

[tex]0=3x^4-48[/tex]

Factor:

[tex]0=3(x^4-16)[/tex]

Difference of Two Squares:

[tex]0=3(x^2-4)(x^2+4)[/tex]

Zero Product Property:

[tex](x^2-4)=0\text{ or } x^2+4=0[/tex]

Solve:

[tex]x^2=4\text{ or } x^2=-4[/tex]

Take the square root. Since we are taking an even-root, it requires plus/minus:

[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]

Answer:

A

Step-by-step explanation:

perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

Answer:

D. y=-6x+3

Step-by-step explanation:

the equations have the same slope of -6 which makes them perpendicular

Answer:

3

Step-by-step explanation:

8x2+4y÷z

when x=12,

y=34,

and z=2?

Answer: x=10

Step-by-step explanation:

x/20=14/28

28x=14 times 28

x=10

Answer:

The answer is B:65°.

65 degrees

Step-by-step explanation:

The angles add up to 180 inside, the 145 suggests the inside angle is 35, and 65 (answer) would make the whole triangle add up to 180

BRAINLIEST PLZ

Answer:

the answer would be 55.39

Answer:

53.13°

Step-by-step explanation:

Sin x = Opp/Hyp

Sin x = 76/95

x = Sin- 0.8

=53.13°

Answer:

-6

Step-by-step explanation:

You should subtract 6 because the angle is equal to 130

-6 is the answer ........

pls mark as brainlest if correct

Answer:

#5) B, C, D

#6) Yes; B, C, and D have lengths greater than one meter. and their areas are exactly one square meter

Step-by-step explanation:

Options B, C and D have an area of 1 square meter and their length is greater than 1 meter and the width is less than 1 meter.

Given that, Danah is planting a second strawberry patch and wants it to have an area of exactly 1 square meter.

To find the area of each different shape strawberry patch, you have to find out which options have an area of 1 square meter.

Area of rectangle formula=Length×Breadth.

From option A:

Area= 1/2 × 3/2=3/4 =0.75 square meters

From option B:

Area= 2/3 × 3/2 =1 square meters

From option C:

Area= 4/5 × 5/4 =1 square meters

From option D:

Area= 2/3 × 6/4=2/2 =1 square meters

Therefore, options B, C and D have an area of 1 square meter and their length is greater than 1 meter and the width is less than 1 meter.

To learn more about the area of a rectangle visit:

https://brainly.com/question/14383947.

#SPJ2

Answer:

5/9

Step-by-step explanation:

5/6*2/3= 10/18= 5/9

if my answer helps please mark as brainliest

Answer:

5/9!

Step-by-step explanation:

Look up cymath on g00gle its a calculator that shows their work ^^ So you don't need to waste your points on math!

Given:

The expression is

[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]

To find:

The value of the given expression closest to the whole number.

Solution:

We have,

[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]

Cancel out the common factors from each fraction.

[tex]=\dfrac{6}{5}\times \dfrac{5}{6}[/tex]

[tex]=\dfrac{6\times 5}{5\times 6}[/tex]

[tex]=\dfrac{30}{30}[/tex]

[tex]=1[/tex]

Therefore, the value of the given expression is 1.

Answer:

Step-by-step explanation:

By Pythagoras' Theorem, a² + b² = c².

Substituting the values of a and b, we get:

7² + 25² = c²

49 + 625 = c²

c² = 674

c ≈ 26.0 (to 1 d.p.)

Answer:

b=4

Explanation and how to do the model

5b+2=22

    -2    -2                by subtractive property of equality

5b/5=20/5              by division property of equality

b=4

As for the model, it would be great if you  could specify what your teacher is looking for and I'll help you from there

Answer:b

Step-by-step explanation:

Answer: in real numbers the equation \displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{ 2}\left(2x^{2}-1\right)\-x+sqrt1−x2\-=sqrt2(2x2− 1).

Step-by-step explanation:

Answer:  Do you know the values of u and v?

Step-by-step explanation:

Answer:

15vu^v

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

16p

Step-by-step explanation:

Answer:

16p

Step-by-step explanation:

Have a great day

Answer:

94 percent I think

Answer:

20 X 30

Step-by-step explanation:

i dont know what is 59 anyways 59 will be 60

Answer:

6x-y = -18

Step-by-step explanation:

Answer:

z = 17.5

Step-by-step explanation:

To get the value of z, we use the bisector theorem

7/z = 6/15

6z = 7 * 15

6z = 105

z = 105/6

z = 17.5

Answer:

1. 23.8

2. 7.7

Step-by-step explanation:

for the first blank

use sin because x is opposite and 25 is hypotenuse

set up an equation:

sin(72)= (x/25)

multiply both sides by 25:

25(sin(72))= (x/25)25

25(sin(72))= x

multiply 25 by sin(72):

23.8 = x

for the second blank

use cos because x is adjacent and 25 us hypotenuse

set up an equation:

cos(72)= (x/25)

multiply both sides by 25:

25(cos(72))= (x/25)25

25(cos(72))= x

multiply 25 by cos(72):

7.7= x

Step-by-step explanation:

For parking, they spent 5$

For student ticket, they spent 8$ (as only Bella is student)

For Non-student ticket, they spent (16*3 = 48$) (as two parents i.e. Mom and Dad plus a grandmother)

Together they spent=

5$+8$+48$

= 61$

DO MARK ME AS BRAINLY. THANKS