what is the perimeter of an equilateral triangle whose height is 2 square root of 3

Answers

Answer 1

Answer:

the answer for this is 12

Answer 2

Answer:

Step-by-step explanation:

If we half the base of the equilateral triangle, which has a length of xcm, we can form a right-angled triangle with a base of x/2 cm and height 2√3 cm.

Now using Pythagoras' Theorem we solve for the hypotenuse:

[tex]x^{2} = (\frac{x}{2})^{2} + (2\sqrt{3})^{2}\\ x^{2} = \frac{x^{2}}{4} + 12\\ 4x^{2} = x^{2} + 48\\ 3x^{2} = 48\\ x^{2} = 16\\x = \frac{+}{}4\\ \\[/tex]

x must be positive as it is a length so we multiply 4 by 3 to get the perimeter of 12.


Related Questions

Question 2
2.1
A car travels for 1 hour 30 minutes and covers a distance of 150 km. How
long (In hours and minutes) will it take the car to cover a distance of 260 km
at the same average speed?

Answers

Answer :

2 hours 36 minutes

Step-by-step explanation :

speed = distance / time

Distance = 150 km

time = 1 hour 30 minutes

= 1,5 hours

[tex]speed = \frac{150 \: km}{1.5 \: hours} [/tex]

[tex] speed = 100 \: km/hour[/tex]

Answer :

How long will it take the car to cover a distance of 260 km at the same average speed ?

Time = Distance/Speed

= 260 km / 100 km/hour

= 2,6 hours

____________________

to convert hours to hours and minutes we can multiply by 60.

2, 6 hours

2 hours and 0,6 hours

0,6 = 3/5

3/5 × 60

60 ÷ 5 × 3

36 minutes

2,6 hours = 2 hours 36 minutes

Find the area of each trapezoid.​

Answers

Step-by-step explanation:

(1). 1/2(5.6+14)(9)

1/2(19.6)(9)

(9.8)(9)

=88.2

(2). 1/2(14+9)(8)

1/2(23)(8)

(11.5)(8)

=92

(3). 1/2(4+6.1)5.2

1/2(10.1)5.2

(5.05)(5.2)

=26.26

1.) 88.2 cm²

2.) 92 cm²

3.) 26.26 m²

4.) 131.25 dm²

5.) 4 m²

At her last practice, she made 70% of her shots from the free-throw line. If
she shot the ball 130 times

How many times did she make a free throw

Answers

Answer:

ahem...

the answer you are looking for is.....

91! :)

How many different pairs of faces are congruent in a rectangular prism that is not a cube

Answers

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

In hockey, a player gets credited with a “point” in their statistics when they get an assist or goal. The table shows the number of assists and number of points for 15 hockey players after a season.

assists points
22 28
16 18
46 72
19 29
13 26
9 13
16 22
8 18
12 13
12 17
37 50
7 12
17 34
27 58
18 34
Make a scatter plot of this data. Make sure to scale and label the axes.

Answers

The data for the assist forms the possible x-values, while the data for the

points represent the y-values of the scatter plot.

Response:

Please find attached the required scatter plot created with MS Excel

How is the scatter plot of the data created?

The given table is presented as follows;

[tex]\begin{tabular}{|c|c|c}Assist&Points\\22&28\\16&18\\46&72\\19&29\\13&26\\9&13\\16&22\\8&18\\12&13\\12&17\\37&50\\7&12\\17&34\\27&58\\18&34\end{array}\right][/tex]

A scatter plot of the above data can be created using MS Excel, by

entering the values into cells as presented above, selecting all values,

and selecting Insert then Scatter from the Chart sub-menu.

The scatter plot of the data is attached

Learn more about scatter plots here:

https://brainly.com/question/3083461

What is the area of this trapezoid?

Answers

Answer:

The area of the trapezoid is 40 ft

Step-by-step explanation:

11ft + 14ft + 15ft = 40 ft

*please help with my 1st question *

The area of the trapezoid is 40ft

find the equation of the tangent line to f(x)=6/x at x=-2

Answers

Answer:

[tex]\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Step-by-step explanation:

Hey there! To find a tangent line of curve at specific point, we have to differentiate a given function. This is because a tangent line has same slope as the specific point and slope is equivalent to dy/dx.

From a given function, we can write as [tex]\displaystyle \large{f(x) = 6x^{-1}}[/tex] via law of exponent where [tex]\displaystyle \large{a^{-n}=\frac{1}{a^n}}[/tex] .

Then differentiate with respect to x using power rules.

Power Rules

For every differentiatable continuous functions, if [tex]\displaystyle \large{f(u) = u^n \to f\prime (u) = nu^{n-1} \cdot u\prime}[/tex] for u is any function and n is all real number.

Therefore:-

[tex]\displaystyle \large{f(x) = 6x^{-1}}\\\displaystyle \large{f\prime(x) = (-1)(6)x^{-1-1} \cdot x\prime}\\\displaystyle \large{f\prime(x) = -6x^{-2} }[/tex]

Therefore, our derived function is [tex]\displaystyle \large{f\prime(x) =- 6x^{-2}}[/tex]

Then substitute x = -2 in a derived function or slope.

[tex]\displaystyle \large{f\prime(-2) = -6x^{-2}}\\\displaystyle \large{f\prime(-2) = -6(-2)^{-2}}\\\displaystyle \large{f\prime(-2) = -6 \cdot \frac{1}{(-2)^2}}\\\displaystyle \large{f\prime(-2) = -\frac{6}{4}}\\\displaystyle \large{f\prime(-2) = -\frac{3}{2}}[/tex]

Therefore, the slope at x = -2 is -3/2.

Now we have to use point-slope formula to find the equation of tangent line.

Point-Slope

[tex]\displaystyle \large{y-y_1 = m(x-x_1) \to y-f(x_1) = f\prime (x_1)(x-x_1)}[/tex]

We may have to find the (x,f(x)) coordinate first. We know x = -2 but we don’t know f(x) coordinate at x = -2 yet. We substitute x = -2 in f(x) to find f(-2).

[tex]\displaystyle \large{f(-2) = \frac{6}{-2}}\\\displaystyle \large{f(-2) = -3}[/tex]

Therefore, our coordinate is (-2,-3).

Substitute in point-slope form.

[tex]\displaystyle \large{y-(-3)=-\frac{3}{2}(x-(-2))}\\\displaystyle \large{y+3=-\frac{3}{2}(x+2)}[/tex]

Then convert to slope-intercept form by isolating y-term and simplify the expression.

[tex]\displaystyle \large{y = - \frac{3}{2}(x+2)+3}\\\displaystyle \large{y = - \frac{3}{2}x-3+3}\\\displaystyle \large{y = - \frac{3}{2}x}[/tex]

Therefore, the equation of tangent line is y = -3x/2.

Please answer!
Today, everything at a store is on sale. The store offers a 20% discount.

The discount price of a hat is $20. What is the regular price?

Answers

Answer:

$25

Step-by-step explanation:

$20 = 80%

100% to 80% = x 0.8 ( you have to do inverse)

$20/ 0.8 = $25

Brittany has $900 in a savings account that earns 10% annually. The interest is not compounded. How much interest will she earn in 1 year?

Answers

Answer:

90$

Step-by-step explanation:

You multiply the number by 0.10 for your answer.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (900)(0.10)(1)\implies I=90[/tex]

1. The graph of f. consisting of three line segments, is given to the right. Let g(x) = $* f (t)dt. a. Compute g(4) and g(-2)(Need help on C and D)​

Answers

Hi there!

c.

Looking at the graph, we can eliminate any possibility of t values on the positive t-axis being an absolute minimum. The only sign change in this interval is from positive to negative, which indicates a maximum.

We can find the value of t = -2 using the integral:

[tex]g(-2) = \int\limits^{-2}_1 {f(t)} \, dt[/tex]

Rewrite in proper format:
[tex]g(-2) = -\int\limits^1_{-2}{f(t)} \, dt[/tex]

Solve using the graph:
[tex]g(-2) = -\frac{1}{2}bh = -\frac{1}{2}(3 \cdot 4) = -6[/tex]

There is an absolute minimum value of g at x = -2. Using the above integral, we get a value of g(-2) = -6, which is the lowest value attainable over the interval.

d.

There is an inflection point at x = 1 because the second derivative changes from positive to negative at this value. (Changes signs). There is NOT an inflection point at x = 2 because the second derivative remains negative, although with a different value.

A triangle has a 60 degree angle, and the two adjacent sides are 12 and 12 times the square root of 3. Find the radius of a circle with the same vertex as a center, if the arc inside the triangle divides it into two regions of equal area.

Please somebody ?

Correct answer gets BRAINLIEST !

Answers

The radius of the circle is a line from the center of the circle to its circumference

The radius of the circle with the same vertex as a center is 10.16 units

How to determine the radius

From the question, we understand that:

The adjacent sides of the triangle are 12 and [tex]12\sqrt 3[/tex]The triangle has an angle of 60 degrees

Start by calculating the area of the triangle using:

[tex]Area = 0.5ab\sin C[/tex]

So, we have:

[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]

This gives

[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]

[tex]Area = 108[/tex]

The arc divides the triangle into two equal regions.

So, the area of the arc is:

[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]

[tex]Arc = 54[/tex]

Also, the area of the arc is:

[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]

Simplify

[tex]Arc = 0.523 * r^2[/tex]

This gives

[tex]0.523 * r^2 = 54[/tex]

Divide both sides by 0.523

[tex]r^2 = 103.25[/tex]

Take the square roots of  both sides

[tex]r = 10.16[/tex]

Hence, the radius of the circle with the same vertex as a center is 10.16 units

Read more about circumcised triangles at:

https://brainly.com/question/4268382

Graph the data.

Find and interpret the slope of the line through the points.

Answers

Answer:

-see link below for graph

-slope- 6/270

Step-by-step explanation:

link in comments

Pierre’s unicycle wheel had a diameter of 80cm.

a) how far does the unicycle move if the wheel turns once?
Give your answer in metres, correct to 2 decimal places.

Answers

251.20 50 I think is the answer maybe not but at least try

Use the graph to answer the questions

Answers

( -30,35 ) is the answer

If eight people can fit at the dinner table, how many tables will be needed for 148 dinner guests?

Answers

148/8 = 18.5

Nineteen tables. After all, you can’t have half a table

You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 10th year of living in the apartment?

Answers

The monthly rent of the apartment in the 10th year is  $1041.67.

What is the  monthly rent during the 10th year of living in the apartment?

The first step is to determine the yearly rent in the first year of living in the apartment.

Yearly rent = $900 x 12 = $10,800

The second step is to determine the yearly rent in the 10th year

$10,800 + (170 x 10) = $12,500

The third step is to determine the monthly rent

Monthly rent = $12500 / 12 = $1041.67

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

243

Step-by-step explanation:

I need help with question c

Answers

Answer:

take the common between dy and y

do similarly also with x .and make a equation

The students in Mr. Philips science class folded paper airplanes and threw them to see whose airplane would fly the farthest. They recorded the distances in both meters and centimeters. Based on this information, what is the measurement in centimeters of a paper airplane that flew 4.5 meters?
A) 450 centimeters
B) 405 centimeters
C) 45 centimeters
D) 4,050 centimeters

Answers

Since the airplane flew 4.5m, this means that it flew 450cm.

A) 1/5 + 3/10

B) 7/8 - 1/4

Work out then simplify

Answers

Answer:

please follow me and take thanks

HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! HELP ME PLEASE!!!!!!!! Prove: An even plus an odd equals an odd. (2n)+(2m+1)=

Answers

Answer:

Step-by-step explanation:

We can factor out 2 to give us 2(2mn+n)

Answer:

the even number is two

Step-by-step explanation:

the box with the question mark has the two while the one without a question mark is one which is an odd number. when 2 multiplies 1, it gives 2

Simplify −8.5(0.3+0.4)÷(−5)+0.31.

Answers

Answer:

1.5

Step-by-step explanation:

Use the FOIL method to find the product.
(s + 10)(s - 8)

Answers

Answer:

s²+2s-80

Step-by-step explanation:

First (first in each parentheses)

Outside (the two terms on the outside of the expression)

Inside (the two terms in the inside of the expression)

Last (last in each parentheses)

An example:

(a+b)(c+d)=ac+ad+bc+bd

Therefore...

(s+10)(s-8)=(s)(s)+(s)(-8)+(10)(s)+(10)(-8)=s²-8s+10s-80=s²+2s-80

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

x = 13 pls give

Step-by-step explanation:

brainliest again it got deleted twice lol

Determine the simple interest. (The rate is an annual rate unless otherwise stated. Assume 360 days in one year.)
p= $375, r = 9.5%, t = 60 days

The simple interest is $ ____
(Round to the nearest cent as needed.)

Answers

if there are 360 days in 1 year, then 60 days is 60/360 = 1/6 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$375\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &\frac{1}{6} \end{cases} \\\\\\ I=(375)(0.095)(\frac{1}{6})\implies I\approx 5.94[/tex]

2) ONE 200 - Gram bag of rice cost $8.12. How much does 1 kilogram of rice cost? (Note that 1000g = 1kg.)

Answers

1000 gram = 1 kilogram
If 200 gram = $8.12. 1, it means we can get 5 bags of such amount (1000/200 = 5)
Therefore, 1kg = $8.12 * 5 = $40.6

which is bigger negative 2 or negative 5?

Answers

Answer:

negative 2 is bigger

............. .

Answer:

-5 is less than -2 it's mean that -2 is bigger.

Step-by-step explanation:

Find the area and perimeter thank you math experts have a wonderful day

Answers

Answer:

All below;

Step-by-step explanation:For the left shape;

Green question mark = 10

50 (longer opposite side) - 40 = 10

Red question mark = 20

30 (longer opposite side) - 10 = 20

Perimeter = 160

30 + 50 + 10 + 40 + 20 + 10 = 160

Area = 700

30 * 50 = 1500; (Total area if it were fully a rectangle)

40 * 20 = 800; (Chunk of rectangle that is missing)

1500 - 800 = 700 (Total area - missing space)

For the right shape;

Green question mark = 14

Opposite of the other side

Red question mark = 20

35 (longer opposite side) - 15 = 20

Perimeter = 152

35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152

Area = 630

35 * 22 = 770; (Total area if it were fully a rectangle)

14 * 10 = 140; (Chunk of rectangle that is missing)

770 - 140 = 630 (Total area - missing space)

Which best defines a compare and contrast text structure? Compare and contrast texts demonstrate the similarities and differences between two or more topics. Compare and contrast texts explain why things happen in terms of reasons and results. Compare and contrast texts outline a process or series of events in a time order from beginning to end. Compare and contrast texts outline different steps of a procedure in an ordered sequence.

Answers

Answer:

A) Compare and contrast texts demonstrate the similarities and differences between two or more topics

Step-by-step explanation:

Compare and Contrast is a text structure (or pattern of organization) where the similarities and differences of two or more things is discussed/explored.

When u need 20 characters or more
The women in the house across the street from the girl in the window

Answers

Answer:

what? I don't understand what your trying to say

The sum of two numbers is 3, and their quotient is 2. What are the two numbers?

Answers

Answer:

The answer is 2 and 1

Step-by-step explanation:

Sum means to add, so you are looking for two numbers that add up to equal 3.

2+1=3

Quotient means to divide, So secondly you would for two numbers that when divided equals 2

2 divided by 1 =2

hope this helps mark brainliest please :)

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