What is the index of the radical below?

Answer:

The two pieces will be 42 and 58 cms long.

Step-by-step explanation:

Let the length of the smallest square be x cm.

Then the length of the other will be x + 4 cm

So, as there are 4 sides in a square, we have the equation:

4x + 4(x + 4) = 100

8x + 16 = 100

8x = 84

x = 10.5 cm.

So we need 4*10.5 = 42 cms for one square and 4 * 14.5 = 58 cms for th other square.

Answer: new perimeter=1/4 old perimeter

Step-by-step explanation:

To find out the unit vector in the same direction of other vector, we can calculate the magnitude of its vector and then divide all coordinates by the magnitude, remember that the definition of a unit vector is that its magnitude is 1.

We can calculate the magnitude of a 2D vector as

                                              [tex]\Large\displaystyle\text{$\begin{gathered}v = \left(x, y\right)\\ \\\|v\| = \sqrt{x^2 + y^2}\end{gathered}$}[/tex]

I'll call the vector (-4, 7) as v, so the magnitude of v is

                                       [tex]\Large\displaystyle\text{$\begin{gathered}v = \left(-4, 7\right)\\ \\\|v\| = \sqrt{\left(-4\right)^2 + \left(7\right)^2}\\ \\\|v\| = \sqrt{65}\\ \\\end{gathered}$}[/tex]

So the unit vector that i'll call as v with an hat is

                                                   [tex]\Large\displaystyle\text{$\begin{gathered}\hat{v} = \frac{v}{\|v\|}\end{gathered}$}[/tex]

The vector divided by its magnitude, when we divide a vector by a scalar it's the same as divide all the coordinates, so

                                      [tex]\Large\displaystyle\text{$\begin{gathered}\hat{v} = \frac{v}{\|v\|}\\ \\\hat{v} = \frac{v}{\sqrt{65}}\\ \\\hat{v} = \frac{\left(-4, 7\right)}{\sqrt{65}}\\ \\ \boxed{\hat{v} = \left(-\frac{4}{\sqrt{65}}, \frac{7}{\sqrt{65}}\right)}\end{gathered}$}[/tex]

We can also remove the square root from the denominator, then

                            [tex]\Large\displaystyle\text{$\begin{gathered}\hat{v} = \left(-\frac{4}{\sqrt{65}}, \frac{7}{\sqrt{65}}\right)\\ \\\hat{v} = \left(-\frac{4}{\sqrt{65}}\frac{\sqrt{65}}{\sqrt{65}}, \frac{7}{\sqrt{65}}\frac{\sqrt{65}}{\sqrt{65}}\right)\\ \\\hat{v} = \left(-\frac{4\sqrt{65}}{65}, \frac{7\sqrt{65}}{65}\right)\\ \\\end{gathered}$}[/tex]

Use what you prefer!

Hope you liked it

Questions? Ask me in the comments

Answer:

35.

Step-by-step explanation:

a^2 + b^2 = (a + b)^2 - 2ab

Substituting the given values:

25 = (a + b)^2 - 2*5

(a + b)^2 = 25 + 10

(a + b)^2 = 35

Answer:

1.6%

Step-by-step explanation:

2376/2338= 1.016

1.016-1 = .016 * 100

1.6%

hope it helps :)

The percent difference is 1.6% Eris larger than Pluto.

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that

The diameter of Eris is 2,338 km and

The diameter of Pluto is 2376.6 km

So the ratio of diameter = 2376/2338 = 1.016

The percent difference = (1.016 - 1)×100

The percent difference = 0.016 × 100

The percent difference = 1.6%

Hence, the percent difference is 1.6% Eris larger than Pluto.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

250 miles

Step-by-step explanation:

Speed = Distance/Time

Speed given = 50 m/hr

Distance = ?

Time = 5 hrs

Distance = Speed × Time

= 50 m/hr × 5 hr

Ans = 250 miles.

Answer:

Yes

Step-by-step explanation:

-3/4 is a rational number because it can be written as a fraction.

Hope it helps :)

Answer:

19.63cm²

Step-by-step explanation:

Area of circle - πr²

Radius = 2.5

π(2.5)² = 3.14 x 6.25 = 19.63 cm²

Hello!

Firs things first, lets write down what we needed to put in the equation.

Candy bars = kids with costumes

Gummies = kids with no costume

$0.80 per candy bar

$0.25 per gummies

100 children visited Mrs. Jones.

She gave out $69 candy

We have two equations to make!

x + y = 100

0.80x + 0.25y = 69

Now lets solve for x!

x + y = 100

0.80x + 0.25y = 69

Let pick a number that adds up to 100,

80 + 20 = 100

now lets plug those numbers into the equation.

0.80(80) + 0.25(20) = 69

64 + 5 = 69

69 = 69

now we know that,

x=80

y=20

but what does x and y represent?

x represents kids in  costume

y represents kids in no costumes

What is the question asking?

How many  children who visited Mrs. Jones's home were wearing a costume?

x represents kids in  costume

so, the answer is 80,

80 kids were wearing a costume.

I hope this helps,

Have a wonderful day!

9514 1404 393

Answer:

  a)  22°

Step-by-step explanation:

Side 'a' is the shortest side, so angle A will be the smallest angle. Its value must be less than 60°, eliminating the last two answer choices. The actual value can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (5² +7² -3²)/(2(5)(7)) = 65/70

  A = arccos(65/70) ≈ 21.7868°

Angle A is about 22°.

Answer:

$61

Step-by-step explanation:

185-62-92+30 = 61

original amount - gave loan - money spent + money received = money left

Answer:

15-3=12

-4-2=-6

12×6= 72

please mark me as brainliest please

Answer:

your smart enough

Step-by-step explanation:

Answer:

B. 21

Step-by-step explanation:

3x7= 21 they both have this multiple in common

Answer:

midpoint shows in one place while bisector covers most area

Answer:

The green box is -3

Step-by-step explanation:

You are reading from a graph, so it is more important perhaps, to pick clear points rather than easy to handle points.

The easiest two points you could use would be

(0,4)

(1, 1)

Slope

m = (y2 - y1)/(x2 - x1)

y2 = 4

y1 = 1

x2 = 0

x1 = 1

m = (4-1)/(0 -1)

m = 3/-1 = - 3

Y intercept

b = 4    from the point 0,4

Line

y = - 3x + 4

Answer:

1/14

Step-by-step explanation:

id k how to explain

Hey there!

A function is like a machine. You put numbers in it and it gives you one number. You can end up with the same output, but you cannot put in the same number multiple times and get different results. It gives you the same number if you do the same one. Functions cannot have multiple outputs for the same input.

We see here that this relation is not a function. So, we can repeat 2, 8, or 3 to get the corresponding y-value and also 0. For example, a could be 2 and it has 2 outputs which would be -5 and 0. This makes it not a function, so our possible values will be 2, 8, and 3.

Have a wonderful day and keep on learning! :D

Answer:

f(x) = |x|

Step-by-step explanation:

because f (–x) = f (x), so all of the signs are the same), then the function is even.

Answer:

I might be wrong, but most likely diameter

Answer: The answer is the second one. Therefore, is RADIUS.

Answer:

10h^2

Step-by-step explanation:

i dont remember

Answer: 10h^2

Step-by-step explanation:

You’re gonna wanna combine your like terms, so…

([6h^2 + 8h^2] - 4h^2)

(14h^2 - 4h^2 = 10h^2)

So your answer would be: 10h^2

Answer:

B. -4

Step-by-step explanation:

Just took the test on Edge it is correct.

Considering the table given, it is found that the value of x for which f(x) = -3 is of x = -7.

The table is a set of points (x, f(x)), hence from it we get that it has these following points:

Hence, the value of x for which f(x) = -3 is of x = -7.

More can be learned abut functions at https://brainly.com/question/25537936

Answer:

42

Step-by-step explanation:

Answer:

-1/2 (-5/6 + 1/3)?

.25

1/4

Answer:

If a month is 30 days;

Year/ Months/Days

7             8          16 \

4             10        25 /