If the each side of equalaterial triangle is a cm. what is the area?​

Answers

Answer 1

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]


Related Questions

given the functions f(x)=3/2 and g(x)=7/3x-8/3, find(f*g)(x)

Answers

Answer:

pagal man

Step-by-step explanation:

tumko Answer Nahi Aata Padhte Likhte Nahi hoo kya

By SAA conjecture, determine which triangles are congruent.

Answers

Answer:

The correct option is;

[B] ΔABF ≅ ΔEDF

Step-by-step explanation:

GIven that ∠FAE is congruent to ∠FEA

Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)

Segment FA is equal to segment FE (Equal segments of isosceles triangle)

Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)

Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)

The correct option is ΔABF ≅ ΔEDF.

System of linear inequalities

Answers

Answer:

1.) ( -4, -2 ), ( -6, - 3 )

2.) ( 0, 2 ) , ( 0 , 4 )

Step-by-step explanation:

The inequality sign of >=, the greater than or equal to sign, the upper region will be shaded while for less than sign <, the lower region will be shaded.

Please find the attached file for the solution and the answer.

Try making 100 using:

5,5,5,5,5

?=100

Help ASAP!

Answers

Answer:

(5+5+5+5)*5

20*5=100

[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]

<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees. ​

Answers

Answer:

<RQS=103 degrees

<SQT=77

Step-by-step explanation:

19x + 9 = 180  subtract 9 from both sides

19x = 171           divide both sides by 19

x = 9                  replace 9 for x in your original

11 x 9 + 4 = 103

8 x 9 + 5 = 77

Answer:

RQS=103°,SQT=77°

SEE THE IMAGE FOR SOLUTION

Determine if the event described is independent or dependent. You pick a marble at random from a group of marbles, don't replace the marble, and pick a second marble.

Answers

Answer:

dependent

Step-by-step explanation:

This is a dependent event.  There is one less marble in the bag to choose from

Say there was 1 red marble and 4 blue marble.  You drew the red marble on the first pick, now you cannot get a red marble on your second pick.

If you drew a blue marble on the first pick you could get a red marble on the second pick.

So what happens on the first pick affects the second pick

Find the surface area of solid given the net.
I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS QUESTION!!

Answers

Answer:

2296 unit^2

Step-by-step explanation:

The area is the sum of the  6 rectangles in the net.

= 38*10 + 38*16 + 38*10 + 38*16 + 10*16 + 10*16

= 380 + 608 + 380 + 608 + 160 + 160

= 2296.

HELP ASAP HOMEWORK FOR TMR!!!!

Answers

Answer:

A. 6.75, divide 13.5 by 2.

B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5

!This is the first part!

2x+5
---------
x+1
hãy giupd tôi

Answers

2x+5

x+1

2+3.......

x+1

Answer:

ask your teachehope help

and search on somewhere I search it there is so many answer

Find the area of the following rectilinear figure.

Answers

Answer:

Area : 14+10+40=64 square unit

Step-by-step explanation:

the area of the top rectangle with sides  2 and 7

A=2*7=14 square unit

the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5

Area=5*2=10 square unit

the bottom rectangle : sides 10 and 4

Area=10*4=40

add the areas : 14+10+40=64 square unit

What is the value of the 6 in 13.76?

Answers

Answer:

0.06

Step-by-step explanation:

This is because the 6 is in the hundredths place.

━━━━━━━☆☆━━━━━━━

▹ Answer

0.06 (Hundreths)

▹ Step-by-Step Explanation

The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

The mean of 5 numbers is 11. The numbers are in the ratio 1 : 1 : 2 : 3 : 4. Find the numbers.

Answers

Answer:

5, 5, 10, 15, 20

Step-by-step explanation:

Since the mean of the 5 numbers is 11, we know that the sum of the 5 numbers is 5 * 11 = 55. If we call the numbers x, x, 2x, 3x and 4x respectively based off of the ratio, we can write:

x + x + 2x + 3x + 4x = 55

11x = 55

x = 5 so 2x = 2 * 5 = 10, 3x = 3 * 5 = 15 and 4x = 4 * 5 = 20, therefore, the numbers are 5, 5, 10, 15, and 20.

Given that

Numbers are in ratio 1:1:2:3:4

Mean of these numbers is 11 .

To Find.

We have to find these five numbers.

Solution .

→ Let's assume these numbers as

→ x , x , 2x , 3x and 4x

→ Mean of any observations is = Sum of observations/ Number of observations.

→ Sum of observations = x+x+2x+3x+4x

11x

→ Number of observations = 5

→ Mean = 11

→ 11 = 11x/5

→ 11 (5) = 11x

→ 11(5)/11 = x

value of x = 5

Putting the value of x for finding all numbers .

→ 1st number = x → 5

→ 2nd number = x → 5

→ 3rd number = 2x → 10

→ 4th number = 3x → 15

→ 5th number = 4x → 20

Maureen plants tulips in a rectangular flower bed that is 2 cubed feet wide and 2 Superscript 4 feet long.

Answers

Answer:

The area would be 128ft^2

2^4 i= 2x2x2x2

2^3 = 2x2x2

multiply them and you get 128ft6^2

Answer:

128ft^2

Step-by-step explanation:

took the quiz just now :D

Danny is painting a doghouse to make it durable he will paint all sides including the bottom the dog house is shaped like a rectangular prism with a triangular prism on top as shown how many cans of paint does Danny need to cover the doghouse if each can covers 20ft squared

Answers

Answer:

15 cans

Step-by-step explanation:

There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.

The area of a rectangle for the top ( T ) and bottom ( B ) side view:

top height = 3ft, and width= 8ft

bottom height = 4.5ft, width= 8 ft

Area ( T ) = 3 X 8 = 24 ft^2

Area ( B ) = 4.5 X 8 = 36ft^2

The front and back view is a triangle and rectangle:

area of triangle = 1/2 x base x height

with the base = 4ft,   and  sides= 3 ft

height = sqrt( side^2 - (1/2 height)^2 )^0.5

          = sqrt( 9 - 4 )  = 2.235

area of triangle( front and back )  = 1/2( 4 x 2.235 ) = 4.47 ft^2

area of rectangle ( back ) = 4 x 4.5 = 18ft

The entrance is a rectangle with area = 2.5 x 2 = 5ft^2

and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2

area of entrance = 5 + 1.57 = 6.57ft^2

area of front view = 18 - 6.57 = 11.43ft^2

the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94  = 158.37ft^2

this is for just the outside. to get the total for inside and outside:

      158.37 x 2 = 316.74ft^2

total area per paint can = 20ft^2

total number of cans needed = 316.74 / 20  = 15 paint cans

Answer:

6 cans are needed to paint the dog house.

Step-by-step explanation:

If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4

Answers

Answer:

E. -2, 4

Step-by-step explanation:

If the zeroes of a function are given as [tex]\alpha, \beta[/tex], then the function can be written as:

[tex](x-\alpha)(x-\beta) = 0[/tex]

Here, we are given that zeros of [tex]f(x)[/tex] are x=-1 and x=2.

As per above, we can write the function [tex]f(x)[/tex] as:

[tex](x- (-1))(x-2) = 0\\\Rightarrow (x+1)(x-2)=0[/tex]

So, [tex]f(x) =(x+1) (x-2)[/tex]

To find:

Zeroes of [tex]f(\frac{x}2)[/tex].

Solution:

We have found that [tex]f(x) =(x+1) (x-2)[/tex]

Replacing [tex]x[/tex] with [tex]\frac{x}2[/tex]:

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2)[/tex]

Now, Let us put it equal to 0 to find the zeroes.

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2) = 0\\\Rightarrow (\frac{x}2+1) = 0 \ OR\ (\frac{x}2-2) =0\\\Rightarrow \frac{x}{2} = -1\ OR\ \frac{x}{2}=2\\\Rightarrow \bold{x =-2, 4}[/tex]

So, the zeroes are -2, 4.

Jason counted by 6's aloud and Lawton counted by 4's aloud. What is the first number they will both say?​

Answers

Answer:

12

Step-by-step explanation:

The first number they will both say = L.C.M of (6,4)

=> L.C.M of (6,4) is 12

The first number they will both say is 12

Solve y+1=-3/4 (x+2) and y-3= 2/3 (x-4) please show how you solve it

Answers

Answer:

y = -3/4x-5/2 and y = 2/3x-1/3

Step-by-step explanation:

y+1 = -3/4(x+2)

y+1 = -3/4x-3/2

y = -3/4x-3/2-1

y = -3/4x-5/2

-----

y-3 = 2/3(x-4)

y-3 = 2/3x-8/3

y = 2/3x-8/3+3

y = 2/3x-1/3

Help me please
Thank you

Answers

Answer: p = 1/5

Step-by-step explanation:

-5(p + 3/5) = -4

Now we open the brackets and -5 mutiplies with both terms

-5p - 3 = -4

-5p = -4+3

-5p = -1

p = -1/-5

p = 1/5

please click thanks and mark brainliest if you like :)

A student scored in the 60th percentile on her math exam. What does this student's score mean in relation to those of the other test takers? (4 points) a Her score was worse than those of 60% of all test takers. b Her score on the exam was 60%. c Her score was better than those of 60% of all test takers. d Her score was in the top 60% of all test takers' scores.


PLEASE HELP!!

Answers

Answer:

The correct option is;

c. Her score was better than those of 60% of all test takers

Step-by-step explanation:

Percentile Score is the score of an exam or test candidate with regard to the relative performance of the other persons that took part in the exam or test.

The percentile score is calculated by converting candidates scores into a scale consisting of the scores of all candidates and ranging from 0 to 100

A 60th percentile score means that the student performed better than 60% of all the candidates of the test and 40% of the test takers scored the same as or better than the student.

Answer:

c Her score was better than those of 60% of all test takers.

Step-by-step explanation:

A student scored in the 60th percentile on her math exam. showing she was the top 60 of all the test takers

Find the derivative of f(x) = -2x2 + 11x at x = 9.

Answers

Answer:

The value of the derivative at x = 9 is -25

Step-by-step explanation:

Here in this question, we are told to find the derivative of the given equation at the point where x = 9

What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation

In notation form, what we are to find is f’(9)

So;

f(x) = -2x^2 + 11x

f’(x) = -4x + 11

So therefore;

f’(9) = -4(9) + 11

f’(9) = -36 + 11

f’(9) = 11-36

f’(9) = -25

The baseball team has a double-header on Saturday. The probability that they will win both games is 34%. The probability that they will win the first game is 75%, What is the probability that the team will win the second game given that they have already won the first game?
A. 45%

B. 74%

C. 90%

D. 26%

Answers

Answer:

A. 45%

Step-by-step explanation:

34/75=45 = 45%

In the figure below, triangle DOG, triangle ION, and triangle IDO are congruent and isosceles, each with perimeter 55. The quadrilaterals FLIN, DIES, and DRAG are all squares. The perimeter of the 11-sided polygon $DRAGONFLIES$ is 127. What is the area of DRAG?

Answers

Answer:

81 sq units.

Step-by-step explanation:

Given that Triangles DOG, ION and IDO are congruent and isosceles.

Let Sides NO = IO = DO = GO = [tex]x[/tex] units

Let the sides of squares FLIN, DIES and DRAG = [tex]a[/tex] units

So, NF = FL = LI = NI = IE = ES = SD = DI = DR = RA = AG = GD = [tex]a[/tex] units

Given that perimeter of each of Triangles DOG, ION and IDO = 55 units

Sum of sides of triangle = [tex]2x+a=55 ...... (1)[/tex]

and Perimeter of 11 sided polygon DRAGONFLIES = 127 units

The perimeter of the polygon includes the sides (only outer sides are included):

DR, RA, AG, GO, ON, NF, FL, LI, IE, ES and SD

[tex]2x+9a = 127......(2)[/tex]

Solving equations (2) and (1) by subtracting (1) from equation (2):

[tex]8a = 72\\\Rightarrow a = 9 units[/tex]

Area of a square DRAG = [tex]Side^2[/tex] = [tex]9^2 = \bold{81\ sq\ units}[/tex]

Answer:

81

Step-by-step explanation:

dont ask, i just know

Determine the measure of the interior angle at vertex D. A. 27 B. 162 C. 20 D. 36

Answers

Answer:

162°

Step-by-step explanation:

The shape is a hexagon, so the interior angles equal 720. (N-2)*180=720

9x+9x+9x+2x+9x+2x=720

40x=720

x=720/40

x=18

D=9x=9(18)=162°

The sum of interior angles of a polygon with n sides is [tex](n-2)\cdot180[/tex]

In this case [tex]n=6[/tex]

Therefore

[tex]4\cdot9x+2\cdot2x=(6-2)\cdot180\\36x+4x=4\cdot180\\40x=720\\x=18[/tex]

[tex]9x=9\cdot18=162[/tex]

So B

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5=15

5p=15-5

5p=10

p=10/5

p=2

have a great dayy.

Answer:

p = 2

Step-by-step explanation:

One is given the following equation:

3p + 2p + 8 - 3 = 15

Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.

3p + 2p + 8 - 3 = 15

5p + 8 - 3 = 15

5p + 5 = 15

Inverse operations,

5p + 5 = 15

5p = 10

p = 2

A man shoots with a bow. There is a 70% chance that he hits with the first shot. If he hits, he gets more confidence, and then there is an 80% chance that he hits with other shots. If he misses with the first shot, his confidence drops, and then there is only a 60% chance that he hits with other shots. Per shoots 2 arrows. Find the probability that he gets 2 hits, 1 hit and no hits.

Answers

Answer:

2 hits:  56%

1 hit : 32%

0 hits: 12%

Step-by-step explanation:

2 hits: 0.7 * 0.8

1 hit : (.7*.2 + .3*.6) - .7*.8

0 hits: .3 * .4

Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. Let p represent the computer’s original price. Which equation models this situation?

Answers

Answer:

p= 25/100 = 180/x

Step-by-step explanation:

In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.

Answer:

0.75p=p-180

Step-by-step explanation:

0.75p=p-180 is your answer

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

A=66
B=229.18
C=114.59
D=240

Answers

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x

Answers

Answer:

The answer is 7x²+5x

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Answer:

7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) - (2x^2 + 3x)

Combine like terms

9x^2 - 2x^2 = 7x^2

Combine like terms

8x - 3x = 5x

Add the two terms together

7x^2 + 5x
•••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!

a hotel manager wants miriam to tile their lobby using the dame design she created for Mr.Rivera.The lobby measures 45 feet by 45 feet. he wants the outer edge to be the same color as the center tile. will this occur ? justify your answer

Answers

Answer:

Yes it will occur

Step-by-step explanation:

The lobby measures 45 feet by 45 feet

Area of the lobby = 45 * 45

=2025 ft^2

So, the lobby has 2025 tiles

subtract 1 black tile in the center

2025 tiles - 1 black tile =2024 tiles

The number of blue tiles and black tiles is 2024 tiles

He wants the outer edge to be the same color as the center tile so, divide by 2

2024/2 = 1012 tiles

The number of tiles in the outer edge is 1012 tiles and the number of tiles in the center is 1012 tiles

Factorise using suitable identities (0.1x-0.2y)^2

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

a = 0.1x

b = 0.2y

(0.1x - 0.2y)²= (0.1x)² - 2*0.1x*0.2y + (0.2y)²

                   = (0.1)²x² - 0.04xy + (0.2)²y²

                   = 0.01x² - 0.04xy + 0.04y²

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The National Defense Education Act was passed amidst fears that ____________. Group of answer choices the Soviet Union was producing better scientists and technology. there were not enough officers in U.S. military academies. the U.S. was falling behind in standards of literacy. arts should be funded more than science and math. If 30 percent of the people surveyed use both of the methods "exercise near home or work" and "exercise outdoors", what percent of people surveyed use at least one of the two methods?A 26%B 52%C 56%D 74%E 86% What is absorbed into the blood stream in small intestine and large intestine if x +2y=1 and x-y=2 find the value of 2y + x What is active reading? (5 points)athinking about a story as you read itbwriting a story while you read anotherling a story to someone who is listeningkeeping your body moving while you read what is the fewest number of 7's that can be added together to make their sum greater than 4000 solve for x: -3(x + 1)= -3(x + 1) - 5 An investigator wishes to use animals in an experiment that involves USDA pain category B, C, and D activities performed on the same animal. How should the animal be categorized In Exercise 4, find the surface area of the solidformed by the net. The number line shows the record low temperatures for four states.. what is the difference, between the low temperature in Hawaii and the low temperatures In south Dakota A -70FB -46FC 46FD 70F Joseph Brown signs a contract with Lewis Johnson allowing Johnson to buy Brown's home for $63,200 anytime between the date of the contract and the following February 8. Brown also agrees not to sell his home to anyone else until after February 8 and received $300 as consideration. This contract is called Which of the following is responsible for the conversion of covalently closed circular DNA to supercoiled DNA of the plasmid of: a) endonuclease b) DNA gynase c) topa isomerase d) exonuclease Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket? when an atom gains an electron,what charge does the ion have The underlined words in this excerpt from Dylan's "The Lonesome Death of Hattie Carroll" are an example of _____. hyperbole to exaggerate the judge's orders synecdoche to represent the nation's entire legal system sarcasm to emphasize the absurdity of Zanzinger's sentence understatement to suggest that the situation was not as bad as it seemed calculate the area of the shaded region in each figure. use 3.14 for and round to the nearest 10th if nessary simplify. 5+ 8y^2- 12y^2+ 3y how many Georgia governors were members of the Republican Party during the 20th century? the ___ of a chemical reaction shows how much product was actually made compared with the amount of product that was expected.O A. actual yieldOB. percent yieldOC. atom economyD. exponential yield The unfavorable volume variance may be due to all of the following factors except:_______a. failure to maintain an even flow of workb. machine breakdownsc. failure to obtain enough sales ordersd. unexpected increases in the cost of utilities