I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?

X=_____

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

Answers

Answer 1

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer 2

Answer:

97

Step-by-step explanation:

Given:

Opposite = 65Adjacent = 72Hypotenuse = x

Definition:

Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.

To find:

Value of x

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

a = oppositeb = adjacentc = hypotenuse

Note:

a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97


Related Questions

6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.​

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

0 + 127x

Plan 2

363 + 94x

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

Simply the given expressions below.
a) 4x + 8 - 2x + 7

b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer​

Answers

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15

Decide if each set might produce one or more gaps when represented by a histogram. 1.The ages of students in a sixth-grade class. 2. The ages of people in a elementary school. 3. The ages of people eating in a family restaurant.
4. the ages of people who watch football. 5. The ages of runners in a marathon.

Answers

The set of data that might produce one of more gaps on thr histogram are:

the ages of people who watch football; andthe ages of people eating in a family restaurant.

What is a Histogram?

A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.

The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.

Learn more about Histograms at:

https://brainly.com/question/2962546

What is the difference between 8x^3-2x^2+5x-7 and 5x^3-3x^2-2x+4?

Answers

Answer:

B. 3x³ - 5x² + 3x - 3

Step-by-step explanation:

8x³ - 2x² + 5x - 7 - 5x³ - 3x² - 2x + 4 <== combine like terms

3x³ - 5x² + 3x - 3

Hope this helps!

16 The three models below are each shaded to represent a different fraction.
What is the sum of the fractions represented by the shaded parts of the
models?

Answers

Answer:

C

Step-by-step explanation:

3/5 + 2/5 + 4/5 = 1 4/5 or 9/5

Answers are c !!!

Step-by-step explanation:

if you added them you would get c I think hope this helps!!

Here help my sis needs help

Answers

Let's complete

(2,8)(3,12)(4,16)

Rule following=4n

(5,20)(6,24)

#2

The rule is 4n

#3

Let's see

4n=48n=12yd

Application of Geometric Series

Answers

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  [tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]

Then the value of the entire given expression is ...

  [tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]

_____

A calculator can help you find the value.

Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...

Answers

keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.

Drag each equation to the correct location on the table.
Match the inequalities with the value of a for which they hold true.
2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
4 + 3a + 8 < 16
3a − 2a + 1 > 2
14 + 5a < 12a + 1

Answers

a=1

-2a + 3 < 9 − 3a

5a − 4a + 6 < 8

2a + 3 > 10 − 3a

a=2

-4 + 3a + 8 < 16

14 + 5a < 12a + 1

3a − 2a + 1 > 2

Complete part (a) and part (b) given the following system of equations x-y=0 2x + 3y = -5 Solve this system graphically.​

Answers

Answer:

(-1, -1)

Step-by-step explanation:

x - y = 0      ------>     x = y

2x + 3y = -5

2(y) + 3y = -5

5y = -5

y = -1

x - (-1) = 0

x = -1

The solution to this system is (-1, -1). To solve graphically, plot both functions and you will see that they intersect at (-1, -1).

I hope this helps!

The function f is defined by the following rule.
f(x) = 4x+5
=
Complete the function table.

Answers

the answers are as follows:

• -15

• -7

• 5

• 13

• 21

x= 1+ root 2. find (x-1/x)³
I m in grade 9​

Answers

Answer:

2√2 / (5√2 + 7)

Step-by-step explanation:

Given :

x = 1 + √2

Expanding

(x - 1 / x)³(1 + √2 - 1)³ / (1 + √2)³(√2)³ / (1 + √2)³2√2 / 1 + 2√2 + 3(1)(√2)(1 + √2)2√2 / 1 + 2√2 + 3√2 + 62√2 / (5√2 + 7)

Answer:

[tex]-14\sqrt{2}+20[/tex]

Step-by-step explanation:

[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]

[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]

[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]

[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]

Expand numerator:

[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]

Expand denominator:

[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]

Substituting expanded numerator and denominator:

[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]

[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]

[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]

[tex]\implies -14\sqrt{2}+20[/tex]

Debbie receives 25% commission on all sales. Her sales totalled $400. How much commission does she earn?​

Answers

Answer:

  $100

Step-by-step explanation:

Debbie's earnings are found by multiplying her commission rate by her sales:

  0.25 × $400 = $100

Debbie earns $100 commission on her sales.

On a coordinate plane, DEF has vertices D(1,2), E(7,2)and F(1,9). What is the distance between point E and F?

Answers

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

[tex]ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457[/tex]

ans this question pleasepleasee i need it now 11:19 am​

Answers

Step-by-step explanation:

Just times all the number for every question like the first one, 4×4×4=64(units)

=64ft

Same for the rest

The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Answers

Answer:

scale factor is 3/2

Step-by-step explanation:

to find scale factor, new image divided by original image.

Make sure you rotate the image on the right so it matches the image on the left. 3 corresponds to 9/2 and 5 corresponds to 15/2.

[tex]\frac{9}{2}[/tex] ÷ [tex]\frac{3}{1} \\[/tex]

[tex]\frac{9}{2}[/tex] × [tex]\frac{1}{3}[/tex]

[tex]\frac{9}{6}[/tex]

reduce

[tex]\frac{3}{2}[/tex]

Good people please help me!!!! ​

Answers

Answer:

  a)  |sec(θ)|

  b) 2cot(2x)

Step-by-step explanation:

Trig identities are used to simplify these expressions. Several are used:

tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)

__

a.

  [tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]

__

b.

  [tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]

Please help in stuck on this one

Answers

Answer:

Step-by-step explanation:

a.

[tex]2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}[/tex]

A runner's journal shows the number of miles run each day for a week:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
Saturday:

Based on the arithmetic sequence how many miles are planned for Saturday?

Answers

The number of miles planned on Saturday is 19 milea

What is an arithmetic sequence?

This means the sequence where the difference between one term and the next term is a constant.

In this case, the following information are illustrated:

Sunday: 1 miles

Monday: 4 miles

Tuesday: 7 miles

Wednesday : 10 miles

Thursday: 13 miles

Friday: 16 miles

As we can see there's a difference of three between them. This can be seen as:

= 4 miles - 1 mile

= 3 miles

Therefore, the number planned on Saturday will be:

= Friday + 3 miles

= 16 miles + 3 miles

= 19 miles

Learn more about sequence on;

brainly.com/question/6561461

#SPJ1

Name three coplanar points on plane HGD.

Answers

The plane HGD contains at least three points

The three points on the plane are H, G and D

What are coplanar points?

Coplanar points are at least three points that are in the same plane

How to name the points?

The name of the plane is given as:

Plane = HGD

The above means that points H, G and D are on the plane HGD

Hence, the three points on the plane are H, G and D

Read more about coplanar points at:

https://brainly.com/question/1593959

A company’s stock increases from $18.30 to $54.90 over a 3-year period. What is the percent increase?

Answers

54.9=300% of 18.3

(200% increase)

Answer:

the answer is 66.67%

Step-by-step explanation:

54.90-18.30=36.60

36.60÷54.90×100=66.666666666... or 66.67%

Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.

Answers

A circle has 360 degrees
Therefore 8a = 360, where a is each angle
If we divide both sides by 8 we get a = 45, so each angle is 45 degrees

True or False?

(–3)^22 is greater than (–2)^33

Answers

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

Answer:

True

Step-by-step explanation:

First let's compare them.

(-3)²² (-2)³³

-3 raised to an even power will give a positive number.

-2 raised to an odd power will give a negative number.

Therefore, (-3)²² > (-2)³³ is a true statement.

An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700

Answers

Answer: The answer is B:350

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Got it right

The perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectangle. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically

Answers

The dimension of the rectangle is 40meters by 20meters

What is the perimeter of a figure?

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle = 2(l+w)

If the length is 20 meters longer than the width, then;

l = 20 + w

Substitute

120 = 2(20+2w)

60 = 20 + 2w

30 = 10 + w

w = 20 meters

Since l = 20  + w

l = 20 + 20

l = 40 meters

Hence the dimension of the rectangle is 40meters by 20meters

Learn more on perimeter of figure here: https://brainly.com/question/22447290

Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.

Answers

Answer:

In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.

I hope this helps!

Answer:

In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees.  Therefore, the other two angles sum to 90 degrees, which means they are complementary.  They are also acute angles, since they are each less than 90 degrees.

What is the domain of the function y=\sqrt{x}
What is the domain of the function y = StartRoot x EndRoot?

Answers

Answer: C (third choice)

Step-by-step explanation:

Square roots cannot hold negative x values as it will create an imaginary number.

Therefore the starting value of x must be starting at 0 and then moving to infinity

Answer:

c

Step-by-step explanation:

The measures of two angles of a triangle are 29° and 61°. Is the triangle​ acute, right, or​ obtuse? Use geometric terms in your explanation.

Answers

Sum of all angles of triangle = 180
x + 29 + 61 = 180
x + 90 = 180
x = 180 - 90

Other angle = 90
As one of the angle is 90, the triangle is right angles triangle

I would really appreciate the help on this please

Answers

Answer:

[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]

Step-by-step explanation:

sorry I didn't write it out...

What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.

Answers

m=5/2

use the slope intercept y=mx+b
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