The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

The Triangle Below Is Equilateral. Find The Length Of Side Xx In Simplest Radical Form With A Rational

Answers

Answer 1

Answer:

x= 12 cm

Step-by-step explanation:

Answer 2

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]


Related Questions

find the total tax to the nearest cent $58 bill; 20% tip

Answers

Answer:

$ 68 $ 58

Step-by-step explanation:

I'm not sure answer is $ 68 $ 58

what happens to the total mass of the atoms involved in a chemical reaction

Answers

There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.

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I WILL GIVE BRAINLIEST

Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

Are the ratios 8:10 and 4:5 equivalent?

Answers

Answer:

yes the ratio are equivalent

Answer:

yes they are egivalent

Step-by-step explanation:

16+4(q+11)+10q simplify

Answers

Answer:

Dogodgo

Step-by-step explanation:

A car dealership pays a wholesale price of $12,000 to purchase a vehicle.


The car dealership wants to make a 32% profit.


After the markup, what is the retail price of the vehicle?

Answers

Answer:

$ 15840

Step-by-step explanation:

12000 + 32% = 15840


What is the approximate solution to this?

Answers

6x=In(6)
x= 1
- x In (6)
6

i just want to make question of this simplify plz solve question fast​

Answers

Answer:

I believe 100

Step-by-step explanation:

He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100

please give brainliest

What is the meaning of the statement ((30) =76?

Answers

Answer:

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) [tex]f(x)=-0.4x+88[/tex]

Step-by-step explanation:

A)

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

[tex]f(30)=76[/tex]

Which implies that:

[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house

[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

B)

Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the house is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

[tex]f(x)=mx+q[/tex]

where

[tex]q[/tex] is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

[tex]m=\frac{76-88}{30-0} =-0.4[/tex]

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

[tex]f(x)=-0.4x+88[/tex]

I need help with these two questions!! HELP

Answers

Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

Can y’all figure this out while I help my fam hang up a chrismus tree :)

Answers

it’s C. Parsimony means extreme unwillingness to spend money or use resources.

Calculate the slope of the line for Graph C.

Answers

Answer:

[tex]- \frac{5}{4}[/tex]

Step-by-step explanation:

Use the slope form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = slope

Let:

[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]

Plug in the corresponding numbers to the corresponding variables, and solve:

[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]

[tex]- \frac{5}{4}[/tex] is your answer.

Answer=-5/4
(-6,-3) (-2,-8)
Y1-Y2/X1-X2=
The slope formula

8+6(1/2 +5) divided by 2 plz i need help ill give u brainlyest (plz show how to do it as well)

Answers

The answer is 21.75........

Answer:

24.5

Step-by-step explanation:

8+6(1/2 +5) divided by 2

A political strategist surveyed 100 people asking
their opinion about a new proposal. The results
are summarized in the contingency table.

Answers

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

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What is domain and range

Answers

Answer: domain and range is the set of values that we are allowed to plug into our function.

Step-by-step explanation:

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip

Answers

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:

Answers

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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How to multiply decimal numbers.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is

Answers

Answer: y = -66x + 201

Step-by-step explanation:

find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm​

Answers

Answer:

1 cm

Step-by-step explanation:

14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours

Answers

Answer:

D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]

[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}[/tex]

[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]

[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]

Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per miles driven. How much would a taxi ride cost if Stella is riding for 2 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

$ 6.50

Step-by-step explanation:

Based on the given conditions, formulate 3+2 × 1.75

calculate the first two terms 3+3.5

calculate the first two terms 6.5

Answer: 6.5

sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?

Answers

Answer:

$243

Step-by-step explanation:

A square has a side length of 36 feet. This square is dilated by a scale factor of 23
2
3
to create a new square. What is the side length of the new square?

Answers

You can’t make another Square because you can’t multiply number that give you 23

Answer:

24

Step-by-step explanation:

I answerd it on ttm and got it right

What is the slope of the line for this question?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

we have 2 points marked on the chart :

(6, -1) and (9, 3)

x changes by +3 (from 6 to 9)

y changes by +4 (from -1 to 3)

the slope is therefore +4/+3 = 4/3

1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:

Answers

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

expand and simplify in its simplest form (x+7)(x-2)

Answers

Answer:

[tex](x + 7) - (x - 2)[/tex]

x²-2x+7x-14

Answer:

x2+5x-14

Step-by-step explanation:

Find the total surface area of this triangular prism.

Answers

Answer:

look at the photo.....................

The surface area of the given triangular prism = 920 square cm.

In the given triangular prism

S1 = 25 cm

S2 = 25 cm

S3 = 14 cm = base

Height = 24 cm

length = 10 cm

Perimeter = S1 + S2+ S3

                 = 25+25+14

                 = 64 cm

Area of base =  length x base

                      = 10x14

                       = 140 square cm

Since we know that,

Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)

                                                     = (64x10) + 2x140

                                                     = 640 + 280

                                                     = 920 square cm

Hence,

The required surface area =  920 square cm.

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