5. What is the value of x?

5. What Is The Value Of X?

Answers

Answer 1

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2

you can set up a proportion like this to solve for 'x':

[tex]\sqrt{3}[/tex] / 1 = 15 / x

cross-multiply:

[tex]\sqrt{3}[/tex]x = 15

x = 15/[tex]\sqrt{3}[/tex]

rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]

you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]


Related Questions

A blank is a fraction with a denominator of one

Answers

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

-11r + 88 = 77
Solve for r

Answers

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

fill in the missing number 21-(-17)=21+...

Answers

Answer:

the answer of 21-(-17)=21+17=38


Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.

Answers

Answer:

i don't know but good luck with that

Step-by-step explanation:

sorry

simplify 3a x 4, thank youuuu

Answers

Answer:

12a

3 x 4 =12a

Which of these numbers lines is the X-axis?​

Answers

Answer:

the one going this way -------------------------- not up and down

Step-by-step explanation:

Answer:

Step-by-step explanation:

the one on the right

If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds

Answers

500cal=1lb
1000cal=2lbs
2x5=10
1000x5=5000
Answer: 10 banana splits

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.

Answers

$58.50 is the answer

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

It’s 6 because the full length is 12 and it’s asking for the half of it

Describe the meaning of y >_ 7.9 in words.

Answers

this means that y can be equal to 7.9 or any other number above

find the volume of the earth if the diameter is 7917.5​

Answers

Answer:

Step-by-step explanation:

diameter=7917.5

r=3958.75

the earth is sphere

V=4/3x3.14xr^3

V=2.6*10^11

Help?... i really really need help...

Answers

Answer:

Bro its easssssssssssssssssssssssssssssssy

Step-by-step explanation:

you must do the rule of threee.

1) 20
2) 24
3) 9
4) 32
5) 35
6) 18
7) 3.6

A triangle with sides 6, 12, and 18 is similar to another triangle whose longest side is 24. What is the perimeter of the larger triangle?

Answers

Answer:

Possibly 48 because perimeter I believe is found by adding all sides up sorry if I'm wrong friend. -Your friend, Cipher

Step-by-step explanation:

Graph the line with slope -5 and y-intercept 7.

Answers

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?

Answers

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ASSSSSSAAAAAAAP HELPPPPPPPPPPPPPPPP

Answers

Answer:

hablas verja ijueputa mamaverja

can you guys help me?

Answers

Pretty sure you have to use the Pythagorean Theorem.
a^2+b^2=c^2

So you would plug in your numbers that you already have (6 and 10) But notice that 10 is the hypotenuse (longest side) so
6^2+x=10^2

Then you would solve it and you should end up with 11.6619

Solve for the variable
X-11 = 8

Answers

This is pretty easy to do.

First, you have to get x alone by getting rid of the terms next to it. In this case, it’s -11.

To get rid of a term, do the opposite.


So x - 11 + 11 = 8 + 11
Remember to do it on both sides.

x = 19
Answer: 19
Why?
You have to get x alone so you have to add 11 to both sides
X-11+11= 8+11
The 11 cancel out on the left and 8+11 equals 19 so x=19

Is(3, 2) a solution to the system on inequalities ?Explain.

Answers

Answer:

No

Step-by-step explanation:

The solution of the system of inequalities is the intersection region of all the solutions in the system. Example 1: Solve the system of inequalities by graphing: y≤x−2y>−3x+5. First, graph the inequality y≤x−2 .

mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years

Answers

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

good at math? PLEASE HELPPPP!!

Answers

Answer:

b

Step-by-step explanation:

Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?

A)liz
B)Rick

this is Compare rates: word problems please show and explain the work show WORK

Answers

Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.

What is the distance of
CD

given that
C (5,-2) and D (-3,8)
Leave your answer as a square root.

Answers

Answer:

CD = [tex]\sqrt{164}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)

d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]

   = [tex]\sqrt{(-8)^2+10^2}[/tex]

    = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

     = 2[tex]\sqrt{41}[/tex] ← in simplest form

Given :

C (5, - 2)D (- 3, 8)

To Find :

CD = ?

Solution :

As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :

[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]

Here,

x₁ = 5x₂ = - 3y₁ = - 2y₂ = 8

So, by filling values :

[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]

[tex] \sf : \implies CD = \sqrt{164}[/tex]

Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]

Pleaseeee help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer to the question is 540°

Step-by-step explanation:

The reason to the answer is:-

There is a formula which is (n - 2) × 180

n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3

Therefore, 3 × 180 = 540°

I hope this answer helps!

Answer:

540°

General Formulas and Concepts:

Math

Counting

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Sum of Angles: 180(n - 2)°

Step-by-step explanation:

Step 1: Define

We have a polygon with 5 sides (a pentagon)

n = 5

Step 2: Find Sum

Substitute in n [Sum of Angles]:                                                                    180(5 - 2)°(Parenthesis) Subtract:                                                                                   180(3)°Multiply:                                                                                                           540°

For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?

Answers

Answer:

$0.05 i think

Step-by-step explanation:

HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?

Answers

The correct amount would be $20.70

plsssssssssssss helpppppppppppp

Answers

Answer:

A. 0

Step-by-step explanation:

3*0 is less than 18

FIRST CORRECT ANSWER TODAY GETS BRAINLIEST!!!

If $a+b = 8$, $b+c = -3$, and $a+c = -5$, what is the value of the product $abc$?

Answers

Answer:

a = 3

b = 5

c = -8

abc = -120

Step-by-step explanation:

Answer:

-120

Step-by-step explanation:

sorry just looked at the answer below *HAXZ*:)

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

Sarah has built a scale model of a bridge. The real bridge is 56 ft across and 21 ft wide. Sarah's model is 8 in. across and
2.5 in. wide. Is Sarah's model a true model of the bridge? Explain.

Answers

Answer:

Well, there are 12 inches ina foot so let's multiply 56 by 12. Now, divide 672 by 8: 672/8 = 84 So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model. It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

HOPE THIS HELPS!!!

BRAINLIEST PLZ???

Answer:

It is not equal, so no, it is not a true scale model.

Step-by-step explanation:

Well, we need to find the ratio of it and see if both measurements of the 'scale' model are the same. But before we do, take in mind we can't divide 56/8 because 56 needs to be converted into inches.

56 • 12 = 672

divide 672 by 8:

672/8 = 84

So, we have 84 which means that if we multiply 84 by 2.5 it should equal however many inches there are in 21, if it is to be a true scale model

21 • 12 = 252

2.5 • 84 = 210

It is not equal, so no, it is not a true scale model.

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