A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

15.6

Step-by-step explanation:

We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3[tex]\sqrt{3}[/tex]. The area of this is

1/2 ( 3 )( 3[tex]\sqrt{3}[/tex] ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.

[tex]\sqrt{3}[/tex] is approx. 1.732, so multiplying this by 9, our answer is 15.6

Answer 2

Answer:

15.6 inches squared.

Step-by-step explanation:

According to the diagram below, the formula for the area of an equilateral triangle is the square root of 3 times the side length squared divided by 4.

The side length is 6. So, the area of the triangle is...

[tex]\frac{\sqrt{3} * 6^2}{4}[/tex]

= [tex]\frac{6^2 * \sqrt{3}}{4}[/tex]

= [tex]\frac{36\sqrt{3}}{4}[/tex]

= [tex]9\sqrt{3}[/tex]

= 9 * 1.732050808

= 15.58845727, which is about 15.6 inches squared.

Hope this helps!

A Piece Of Art Is In The Shape Of An Equilateral Triangle With Sides Of 6 In. Find The Area Of The Piece

Related Questions

Can someone help? It can be 3-5 sentences just compare and contrast them.

Answers

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line. A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

I hope this helps! Brainliest would be appreciated.

line is cool segment is cool ray is cool btw the other persons answer is right

find the surface area of the figure below. Round it to the nearest tenth.​

Answers

Answer:

173.4

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4

Is the data point, P, an outlier, an influential point, both,Is the data point, P, an outlier, an influential point, both, or neither? The regression equation for a set of paired data is ^y = 6 + 4x. The correlation coefficient for the data is 0.92. A new data point(13,74) is added to the set.

outlier

neither

influential point

Both

Answers

Answer: Both

Step-by-step explanation:

Outliers are the data points that are away from the overall pattern.Influential point is an outlier that affect the slope of the regression line.

Given: The regression equation for a set of paired data is [tex]\hat{y}=6+4x[/tex].  The correlation coefficient for the data is 0.92.

A new data point(13,74) is added to the set.

Put x= 13 , we get

[tex]\hat{y}=6+4(13)=6+52=58[/tex].

Predicted value of y= 58 which is different from 74.

So, the new data point(13,74) is an influential point as it can affect the slope.

Thus, (13,74) is both outlier and influential point.

Hence, the correct option is "Both".

HELPPPP MEEEEEE

Mia has a large bag of sweets. If she shares the sweets equally among 2, 3, 4, 5 or 6 people there will always be 1 sweet left over. What is the smallest number of sweets there could be in the bag?

Answers

Answer:

61

Step-by-step explanation:

3 x 4 x 5 = 60

30 + 1 = 61

find the length of UC

Answers

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each angle measure in degrees with its equivalent measure in radians.

Answers

Answer:

315° = 7π/4 rad80° = 4π/9 rad225° = 5π/4 rad324° = 9π/5 rad

Step-by-step explanation:

Find the attachment in the diagram below,

In order to get the right match, we will use the conversion

180° = πrad

- For angle 315°;

If 180° = πrad

315° = a

Cross multiplying

180a = 315π rad

a = 315π rad/180

a = 63π/36 rad

a = 7π/4 rad

Hence 315° = 7π/4 rad

- For angle 80°;

If 180° = πrad

80° = b

Cross multiplying

180b = 80π rad

b = 80π rad/180

b = 8π/18 rad

b = 4π/9 rad

Hence, 80° = 4π/9 rad

- For angle 225°;

If 180° = πrad

225° = c  

Cross multiplying

180c = 225π rad

c = 225π rad/180

c = 15π/12 rad

c = 5π/4 rad

Hence, 225° = 5π/4 rad

- For angle 324°;

If 180° = πrad

324° = d

Cross multiplying

180d = 8324π rad

d = 324π rad/180

d = 27π/15 rad

d = 9π/5 rad

Hence, 324° = 9π/5 rad

Which statement about the relationship shown in the graph is true?

Answers

Answer:

third option

Step-by-step explanation:

In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.


Work out an estimate for the value of
41.2 x 19.8
——————-
0.49

Answers

Answer:

820

Step-by-step explanation:

41.2 * 19.8 = 41 *20 = 820

41.2

In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41

19.8

In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.

19+1 = 20

A bookstore decides to divide its space into three sections: nonfiction books, novels, and stationery. The bookstore wants to devote 1/6 of its space to stationery. If the total area of the bookstore is 288 square feet, and the stationery section will be 12 feet long, how wide will the stationery section be?

Answers

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = [tex]\frac{1}6[/tex] of total area = [tex]\frac{1}{6} \times 288 = 48\ sq\ ft[/tex]

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

[tex]A = Length \times Width[/tex]

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

[tex]\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}[/tex]

So, the answer is:

Stationery section will be 4 feet wide.

NEEEEDDDD ASSAAAAPPPPP NEED ANSWER NOWWWW

Answers

Answer:

w=10

Step-by-step explanation:

-2=-(w-8)

2=w-8

w=10

Question:

-2=-(w-8)

Answer:

-2=-w+8

w=8+2

w=10

Step-by-step explanation:

88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?

Answers

Answer:

1.46666666667 feet per second

Step-by-step explanation:

60 miles per hour = 88 feet per second

=> 60/60 miles per hour = 88/60 feet per second

=> 1 mile per hour = 1.46666666667 feet per second

Identify the construction that the figure represents

Answers

Answer:

Not sure if this will help but that looks like a bisection of angles BAC and TSR.

Will give brainliest to correct answer

Answers

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

Heyyy!!! It’s thirty lamps bc 30x2=60
30 lamps

plz help me. how many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

2y = 4x+6

y = 2x+6

Divide the first equation by 2

y = 2x+3

These are parallel lines ( same slope) but different y intercepts

They will never intersect, so they have no solutions

Answer:

B   No solutions

Step-by-step explanation:

2y = 4x + 6       first equatión

 y  = 2x + 6       second equation

from the first equation

y = (4x+6)/2

y = 4x/2 + 6/2

y = 2x + 3       third equation

matching second equatión and third equation

2x + 6 = 2x + 3

2x - 2x = 3 - 6

0 ≠ -3

then:

Β  No solutions

Pls pls pls pls help me

Answers

Answer:

96 cm²

Step-by-step explanation:

Triangular face:

base = 8 cm

height = 6 cm

Area of triangle = [tex]\dfrac{1}{2}*b*h[/tex]

              [tex]= \dfrac{1}{2}*8*6\\\\=4*6\\\\= 24 \ cm^{2}[/tex]

Area of 4 triangular faces = 4 * 24 = 96 cm²

What is a +b square plz i need help i will mark brainliest

Answers

Answer:

a² + 2ab + b²

Step-by-step explanation:

Given

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute both parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Which property of equality would be used to isolate the variable b in this equation?

3/4 x b = 12

A. addition property of equality

В. subtraction property of equality

C. multiplication property of equality

D. symmetric property of equality

Answers

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

In Exercise 26, find the height of the right prism.

Answers

Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Answers

Answer:

[tex] \boxed{\sf {18}^{2} + {24}^{2} = {x}^{2}} [/tex]

To Find:

Length of hypotenuse of the right triangle i.e. x

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

[tex] \therefore [/tex]

[tex] \sf \implies {18}^{2} + {24}^{2} = {x}^{2} [/tex]

Answer:

18²+24²=x²

Step-by-step explanation:

to answer this question you must know Pythagorean theorem

a^ 2+b^2 =c^2

a and b stands for the sides with length 24 and 18 and c stands for the HYPOTENUSE . so the correct answer for the above question is 18²+24²=x²

Find the product. Express answer in standard form.
(x – - 4)(3x² + 4x – 4)

Answers

Answer:

3x³ + 16x² + 12x - 16

Step-by-step explanation:

(x - -4)(3x² + 4x - 4)

(x + 4) (3x² + 4x - 4)

3x³ + 4x² - 4x + 12x² + 16x - 16

3x³ + 4x² + 12x² - 4x + 16x - 16

3x³ + 16x² + 12x - 16

Which is true about the polynomial y2 – 3y + 12? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.

Answers

Answer:

Trinomial  of degree 2

Step-by-step explanation:

The given expression cannot be reduce any further as far as number of terms (there are no like terms in it), so it is a trinomial.

Also, the largest power for the variable  init (y) is the power 2, therefore it is a trinomial of degree 2.

At a furniture shop, every chair came with either 1 or 2 cushions. The ratio of
the number of chairs to the number of cushions was 7:11, what fraction of
the chairs came with 2 cushions?​

Answers

Answer:  4/7

Step-by-step explanation:

the number of chairs = 7

the number of cushions = 11

Every chair has at least 1 cushion. There are 7 chairs so 7 cushions are used.

There is a total of 11 cushions and 7 cushions are already distributed to the chairs so there are 4 chairs with a 2nd cushion.

Chairs with 2 cushions ÷ Total chairs = 4/7

6 sqrt (x-2) +4 < 28

How do you solve? Btw.. x-2 is under sqrt sign.

Answers

Answer:

Step-by-step explanation:

[tex]6\sqrt{x-2}+4<28\\6\sqrt{x-2}<28-4\\\sqrt{x-2}<\frac{24}{6}\\\sqrt{x-2}<4\\\\x-2 <16\\x<16-2\\x<14x-2 \geq 0\\x\geq 2\\so~2 \leq x < 14[/tex]

answer answer it it it

Answers

Answer:

May-June

Step-by-step explanation:

Notice that:

● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.

● During June-July period, both functions are decreasing so this period does not satisfy our condition.

● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.

● during August-September period, The swimming memeberships are increasing slower than Badminton's

So the answer is May-June

Answer:

May-June

Step-by-step explanation:

During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Answers

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

5x -2 ( 2x-2)= 2(3x-1)+7/2

Answers

Answer:

x = 1/2 or 0.5

Step-by-step explanation:

5x - 2(2x-2) = 2(3x - 1) + 7/2

= 5x - 4x + 4 = 6x - 2 + 7/2

= 5x + 4 = 10x - 2 + 7/2

= 5x + 6 = 10x + 7/2

= 5x + 2.5 = 10x

= 2.5 = 5x

Thus, x = 1/2 or 0.5

Hope this helps!

85,58,72,85,46,93 mean,mode,range,median​

Answers

Answer:

mean: 73.2

mode : 85

range:47

median: 78.5

Step-by-step explanation:

85,58,72,85,46,93

first put the numbers in order from least to highest

46,58,72,85,85,93

mean: is the sum of the terms divided by the number of terms

(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)

mode : is the element that occurs the most: in this case it is 85 occurs twice

range : subtract the minimum data from max. data: 93-46=47

median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5

median = 78.5

The mean value is 73.

The mode value is 85.

The range value is 47.

The median value is 78.5.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

85,58,72,85,46,93

Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6

Mean = 73

Mode is the number that occurs the most times in the set.

Mode = 85.

Range = Highest value - Lowest value.

Range = 93 - 46 = 47.

The Median is the middle value after arranging the set in order.

46, 58,72,85, 85, 93

Median = (72 + 85) / 2

Median = 78.5

Thus,

The means is 73.

The mode is 85.

The range is 47.

The median is 78.5.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

10. I purchased a hair-dryer for 5,400 including 8% VAT. Find the price before VAT was added.

Answers

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Answers

To find the rate of change, we need to divide the number of people by the number of pounds of chicken used. This is 36/9 = 4. Additionally, you could have done 68/17 = 4.

This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?

Answers

Answer:

40.

Step-by-step explanation:

Let J represent jelly snake.

Let L represent lollipops

Let S represent sample space

Let y represent the number of jelly snake in the bag. I.e

Number of J = y

Number of L = 10

Number of S = 10 + y

From the question given, we were told that the probability of jelly snake P(J) is 4/5.

But probability of jelly snake, P(J) is given by:

P(J) = nJ/nS

nJ = y

nS = 10 + y

P(J) = 4/5

Thu, we can obtain the number jelly snake, y, in the bag as follow:

P(J) = nJ/nS

4/5 = y/(10 + y)

Cross multiply

5y = 4(10 + y)

Clear bracket

5y = 40 + 4y

Collect like terms

5y – 4y = 40

y = 40

Therefore, the number of jelly snake in the bag is 40

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