An equilateral triangle has a base of 44 meters and a height of h meters. Inside that triangle is constructed a second equilateral triangle of base 22 meters and a height
of 0.5h meters. Inside the second triangle is constructed a third equilateral triangle of base 11 meters and a height of 0.25h meters.
What percent of the area of the largest triangle is the area of the smallest triangle?
% of the area of the largest triangle.
The area of the smallest triangle is
(Type an integer or a decimal)

Answers

Answer 1

Answer:

6.25 %  of area of Large triangle =  area of smallest triangle

Step-by-step explanation:

Area of large triangle L = (1/2)*base*height

L = (1/2)*(44 m)* h

L = 22*h  square m.

2nd equilateral triangle area:  S =(1/2)*(22 m)*(0.5h)

S = 5.5*h sq. m.

3rd smallest equilateral triangle area : T = (1/2)*(11 m)*(0.25h)

T = 1.375*h sq. m

-----

Find percent P  where  T = P* L,     1.375*h = P * 22*h

P = 6.25%  = 0.0625


Related Questions

find the perimeter of a right triangle whose hypotenuse is 2 and whose area is 1.

Answers

Answer:

can i get the pic of it?

Step-by-step explanation:

.........

Below is the graph of a trigonometric function. It has a maximum point at (-5pi/4,6.7) and an amplitude
of 4.1. What is the midline of the function? Y=____

Answers

We have been given that the maximum point at the graph of a trigonometric function is [tex](-\frac{5\pi}{4},6.7)[/tex] and amplitude of the function is 4.1. We are asked to find the mid-line of the given function.

We will use mid-line formula to solve our given problem.

[tex]\text{Mid-line value}=\text{Maximum value}-\text{Amplitude}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\text{Mid-line value}=6.7-4.1[/tex]

[tex]\text{Mid-line value}=2.6[/tex]

Therefore, the mid-line of the given function would be [tex]y=2.6[/tex].

Tell whether the ordered pair is a solution of the system of equations.

(2.1)
2x+y=5
y = 4x– 1

1. No, (2,1) is a solution for y = 4x – 1 but not for 2x + y = 5.

2. Yes, (2,1) is a solution for both equations

3. No, (2,1) is a solution for 2x + y = 5 but not for y = 4x - 1

Answers

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5  => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1   => 4 x 2 - 1 = 1  => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

Find the discriminant of the quadratic equation, and determine the number of real solutions of the equation.

2x2 + 6x + 9 = 0

The discriminant is _____
The number of real solutions of the equation is _____

Answers

Answer:

Discriminant is -36 and the number of real solution and its 2 imaginary solutions.

Step-by-step explanation:

Create a graph of the polynomial function g(x) = x3 + 2x2 − 9x − 18.

Answers

The graph is shown below

What is the volume of a cone with a radius of 4 centimeters and a height of 10 centimeters? Cone V = 1 3 Bh 1. Rewrite the formula for the base area:     V = 1 3 πr2h 2. Substitute the values into the formula:     V = 1 3 π(42)(10) 3. Evaluate the power:             V = 1 3 π(16)(10) 4. Simplify to find the volume of the cone to be Pi centimeters cubed.

Answers

Answer: its 160/3                

Step-by-step explanation:

Answer:

160/3

Step-by-step explanation:

Write an equation in slope-intercept form that goes through the points (-3, -4) and (3,4).

Answers

Answer:

Y = 4/3x + 0

Step-by-step explanation:

(-3,-4) and (3,4) can be plugged in to rise over run.

y 4 -(-4) = 8

x 3 - (-3) = 6

8/6 = 4/3

Plug into slope intercept form

4 = 4/3(3) + b

4 = 12/3 +b

4 = 4 +b

Subtract from both sides

0 = b

Y = 4/3x + 0

The equation in slope intercept form that goes through the points (-3,-4) and (3,4) is [tex]y=\frac{8}{6}x[/tex]

What is Slope of the line?

The slope of a line gives the measure of its steepness and direction.

What is the Slope intercept form?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Given,

Slope of  the line passing through the points (-3,-4) and (3,4)

Slope of the line m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}=\frac{4+4}{3+3}=\frac{8}{6}[/tex]

Therefore slope of the line is [tex]\frac{8}{6}[/tex]

Find the y intercept using the slope and the point (-3,-4)

y=mx + b

-4 = [tex]\frac{8}{6}[/tex]×-3 + b

-4 =-4+b

b=-4+4 =0

Then,

The equation in  slope intercept form is

y = mx + b

y = [tex]\frac{8}{6}[/tex]x + 0

[tex]y=\frac{8}{6}x[/tex]

Hence, the equation in slope intercept form that goes through the points (-3,-4) and (3,4) is  [tex]y=\frac{8}{6}x[/tex]

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Which rational number falls between 7/8 and 6/9

A 15/31

B 3/17

C 53/72

D 7/12

Answers

6/9 = [6 * 8] / { 9 * 8] = 48/72
7/8 = [ 7*9] / [ [ 8 *9 ] = 63/72

C looks to be correct

Answer:

c 53/72

Step-by-step explanation:

A shipping container has a volume of 2,880 cubic inches. Which could be the dimensions of the container?

Answers

Missing part of the question

- 10 in, by 12 in. by 24 in.

- 12 in. by 15 in. by 18-in.

- 10 in. by 16 in. by 20 in.

- 12 in. by 12 in. by 20 in.

Answer:

The possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

Step-by-step explanation:

Given

Volume of the container = 2,880 cubic inches

Required

Possible dimensions of the container

To solve this question, the following assumption has to be made;

It'll be assumed that the container is a rectangular

To calculate the volume of a rectangular figure, we simply multiply the dimensions of the figure,

This implies that; we'll test each of the given options.

Which ever gives 2,880 is the right answer.

- 10 in, by 12 in. by 24 in.

[tex]Volume = 10 in * 12 in * 24 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

- 12 in. by 15 in. by 18-in.

[tex]Volume = 12 in * 15 in * 18 in[/tex]

[tex]Volume = 3,240[/tex] cubic inches

- 10 in. by 16 in. by 20 in.

[tex]Volume = 10 in * 16 in * 20 in[/tex]

[tex]Volume = 3,200[/tex] cubic inches

- 12 in. by 12 in. by 20 in.

[tex]Volume = 12 in * 12 in * 20 in[/tex]

[tex]Volume = 2,880[/tex] cubic inches

From the calculation above, only option A and D gives 2,880;

Hence, the possible dimensions of the container are

- 10 in, by 12 in. by 24 in

- 12 in. by 12 in. by 20 in

Given a volume of 2,880 cubic inches, one possible set of dimensions for a shipping container could be length = 24 inches, width = 15 inches, and height = 8 inches.

The volume of a rectangular container can be calculated by multiplying its length, width, and height. Given the volume of 2,880 cubic inches, we are looking for three numbers (dimensions) that, when multiplied together, equal 2,880.

One possible set of dimensions could be length = 24 inches, width = 15 inches, and height = 8 inches. Multiplying these dimensions together: 24 inches × 15 inches × 8 inches = 2,880 cubic inches, which matches the given volume of the container.

If an integer from 3 through 14 is chosen at random, what is the

probability that the number chosen is NOT prime?

Answers

Answer:[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

Given

There are integer between 3 and 14 available to be chosen (total 12 integers)

Prime integers among them

3,5,7,11,13 i.e. total of 5 prime integers

So the probability that the number chosen is not Prime

[tex]=1-P\text{(no is prime)}[/tex]

[tex]=1-\frac{5}{12}[/tex]

[tex]=\frac{12-5}{12}[/tex]

[tex]=\frac{7}{12}[/tex]

Mary estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate? (Hint: subtract and then divide by actual number)

Answers

Answer:

The percent error is 40%.

Step-by-step explanation:

5 (actual time) - 3 (estimated time) = 2

2 divided by 5 (actual time) = 0.4

0.4 x 100 = 40%

Find the product of (4z2 + 7z - 8) and (-z + 3).
The product of (4z2 + 77 - 8) and (-Z + 3) is -423 +
Z - 24.

Answers

Answer: -4z3 + 5z2 + 29z - 24

Step-by-step explanation:

Answer:

5

29

Step-by-step explanation:

find the measurement of this angle :)

Answers

Answer:

56

Step-by-step explanation:

By adding the other two angles you can calculate the missing angles. And since they are the same angles they are the same measure. Add the two angles provided and then subtract that from 180 and you get your answer.

:)

Answer:

∠1=56°

∠2=56°

∠3=74°

Step-by-step explanation:

Degrees in a triangle is 180°

180°-(66°+58°)=∠1

180°-124°=∠1

∠1=56°

∠1=∠2- Vertical angles

∠1=56°

∠1=∠2

∠2=56°

∠3=180°-(56°+50°)

∠3=180°-106°

∠3=74°

Can someone help me with this question

Answers

Answer:

15 & -15

Step-by-step explanation:

Answer:

x=+15/-15

Last answer is correct

Step-by-step explanation:

[tex] {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

The two-way table shows the ages of the players on different soccer teams.

Answers

Answer:

C

Step-by-step explanation:

In the picture attached, the complete question is shown.

The probability that a randomly selected player on Team A is 8 years old is =  4/15

The probability that a randomly selected 8-year-old player is on Team C is =  8/21

The probability that a randomly selected player on Team C is 10 years old is = 5/16

The probability that a randomly selected 10-year-old player is on Team B is = 3/14

The probability of a chance event is 0.3, it is
to happen
when compared to a chance event with a probability of 0.4
Select one:
equally likely

less likely

both more and less likely

more likely

Answers

Answer:

less likely

Step-by-step explanation:

Lower probability = lower chance to happen

0.3 is less than 0.4

Answer:

2nd

less likely

Step-by-step explanation:

the probability of landing on yellow when spinning a spinner is 1/8 choose the likelihood that best describe the probability of this event

A) unlikely

B) likely

C) certain

D) neither likely or unlikely

Answers

Answer:Unlikely

Step-by-step explanation:

Given

Probability of landing is [tex]\frac{1}{8}=0.125[/tex]

i.e. [tex]12.5\%[/tex]

Thus Probability is less than [tex]50\% [/tex]

Therefore it cannot be likely because for that Probability must be greater than [tex]50\%[/tex]

Therefore the following event is Unlikely because it is greater than 0.

Answer:

The answer is A my children

Step-by-step explanation:

If the tree is 25 feet tall , what is the angle of depression to his friend

Answers

Answer:

15

Step-by-step explanation:

6(a+3)=2a+30 what is the answer​

Answers

Answer:

a = 3

Step-by-step explanation:

6(a+3)=2a+30

Distribute

6a + 18 = 2a+30

Subtract 2a from each side

6a + 18 -2a= 2a+30-2a

4a  +18 =30

Subtract 18 from each side

4a+18-18 = 30-18

4a = 12

Divide each side by 4

4a/4 = 12/4

a = 3

In the figure above, angles are as marked. The angle labeled with a measure of bº is an exterior angle. What is the measure of b?

Answers

Answer:

105

Step-by-step explanation:

First, solve for a

2a-15+2a+15+3a-5+a+5=360(Sum of interior angles of quadrilateral is 1360)

8a=360

a=360/8

a=45

Now,Look at the angles formed in straight line

b+2a-15=180(Sum of angles formed in a straight line is 180)

b+2×45=180+15

b=195-90

b=105

Check whether the given number is a
solution of the inequality.
4x + 2 = 14 x = 3

Answers

Answer:

TRUE

Step-by-step explanation:

x=3

4x + 2 = 14

4(3)+2=14

12+2=14

14=14

Alex and hope were trying to solve -6x > 24. Whose inequality shows the solution? Show your work.

(Alex's inequality is x > -4)
(Hope's inequality is x < -4)

Answers

Answer:

x>-4

Step-by-step explanation:

divide both sides by -6 without changing the sign

a(b)^x-c =d solve for x

Answers

Answer:

( ln((d + c) / a) ) / ( ln(b) )

Step-by-step explanation:

ab^x = d + c

b^x = (d + c) / a

ln(b^x) = ln((d + c) / a)

xln(b) = ln((d + c) / a)

x = ( ln((d + c) / a) ) / ( ln(b) )

hi, please help.
what are some things you wonder about simple machines?? it doesn't have to be too complicated.
(plz i am suffering)

Answers

It’s a machine that works easy and simple..?.?

Which statement best describes the relationship between the two variables?
O There is an association because the relative frequencies by row are different
O There is an association because the relative frequencies by row are similar
There is no association because the relative frequencies by row are different,
O There is no association because the relative frequencies by row are similar

Answers

The answer is, O There is an association because the relative frequencies by row are similar.

What is variables?

A quantity which during a calculation is assumed to vary or be capable of varying in value.

Here, we have,

The statement best describes the relationship between the two variables,

is,

O There is an association because the relative frequencies by row are similar.

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WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN HOW YOU ARE CORRECT

Answers

Answer:

D

Step-by-step explanation:

Since this is right triangle, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

14 and 16 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

14^2+16^2=x^2

Evaluate the exponents

196+256=x^2

Add

452=x^2

To get this is simplest radical form, find the greatest square root that divides evenly into 452

4 is the greatest square root. 4 times 113 equal 452

So, we have

[tex]\sqrt{4}\sqrt{113}[/tex]

Take the square root of 4

2[tex]\sqrt{113}[/tex]

So, choice D is correct.

answer : D




explanation: i just did this and got it right

What is the volume of the prism?
ft3
1
12 ft
6 ft
8 ft

Answers

V=lwh

V=8×12×6=576 ft³

Answer: V=576 ft³

The volume of the prism is calculated by multiplying the length, width, and height, resulting in 576 cubic feet.

To calculate the volume of the prism, we have to use the formula for the volume of a rectangular prism, which is length times width times height. Given the dimensions of the prism as 12 feet in length, 6 feet in width, and 8 feet in height, the volume is calculated as follows:

Multiply the length by the width: 12 ft times 6 ft = 72 ft².Multiply the result by the height: 72 ft² times 8 ft = 576 ft³.

Therefore, the volume of the prism is 576 cubic feet (ft³).

What is the mean change with the numbers 90 91 88 84 86 85 86

Answers

Answer:

-0.571428571, or -0.6 if you round it to the nearest tenth

Step-by-step explanation:

Okay, so to break it down, you want to find the difference between each of the numbers right next to each other.

90 -> 91 = 1

91 -> 88 = -3

88 -> 84 = -4

84 -> 86 = 2

86 -> 85 = -1

85 -> 86 = 1

Add up all the differences.

1 - 3 - 4 + 2 -1 + 1 = -4

How many numbers were there? 7

Divide the sum (-4) by 7.

-4/7 = -0.571428571

Which is the area of a trapezoid with bases of 10 m and 20 m, and a height of 5 m?
A. 70 m2
B. 75 m2
C. 80 m2
D. 150 m2
E. 300 m2

Answers

Answer:

The answer is B. 75 m2

Answer:

Its B

Step-by-step explanation:

you have helped me now I will help uou

What number would you add to both sides of x - 20x = 5 to complete the square?

Answers

Answer:

100

Step-by-step explanation:

If you add 100 to both sides, you get "x^2-20x+100," which simplifies to (x-10)^2

Other Questions
Students were asked to write a response to an excerpt from Barrio Boy. Tyler selected the excerpt below. We stayed only one day at the hotel, long enough for me to become acquainted with the bathtub, located in another closet next to the toilet. A rope of water twisted and whirled from a brass faucet, filling the tub. I sat in the cold water up to my neck and discovered that I could slide down the back of the tub and hit the bottom with a great splash. When my water party was interrupted, both the bathroom and I got a scrubbing. Which would be the most clear and detailed topic sentence to begin Tylers response?A. In this excerpt, the author takes a bath and writes a lot about the details and he gets in some trouble.B. In this excerpt, the author uses the bathtub and it is very cold and splashy.C. In this excerpt, the author uses descriptive language to share his experience in a modern American bathroom.D. In this excerpt, he tells about a tub and a faucet and a lot of new experiences he has in the United States. What should reviewers do when writing a review?OA. Copy and reuse another critic's postOB. Reconstruct the work to be betterOC. Leave out personal opinionOD. Read interviews with the creator racehorse weighs 470 kilograms. How much does it weigh in grams what is an example of a neutral mutation - ANSWER FAST PLSSSSchoices : a frog born with white skina person's inability to break down sugara red flower with one part colored yellow Some traits of successful individuals in our industry, as mentioned by Aimee Mangold of KOLTER Hospitality included: drive, intelligence, self-confidence, the desire to influence others, relevant knowledge, and honesty/moral character. Unfortunately, these same traits do not apply to other fields outside of the hospitality and tourism industry to any great extent. A. TrueB. 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A-fear is simple and profoundB-fear keeps us from trusting the great mystery within ourselvesC-And then it takes a moment of grace to fan its wings, and then it takes a leapD-the caterpillar knows that there's something more, even though there's no reason for itPassage- When I think about how we've gotten to this place of being so separated from the earth and from each other and from our choices, it seems like there's many prongs1 that have gotten us to this point.I think one of the core elements, though, is actually quite simple, which is fear. And fear is simple and profound,2 just like love is simple and profound. And fear will drive us to make choices that our hearts don't long to make, that our spirits don't long to make. Fear will shut down the voice of the heart and spirit and collapse us into beings without meaning and without value.I see in this culture in particular how that manifests is our addiction to comfortability.3 We are birthing an addict society. I went through a time in my life where I was a major drug and alcohol addict, and so I know on a very real level what addiction is. And as a society, we are being birthed into an addiction culture where you need consumerism,4 you need comfortability, and you go through the same withdrawals and all these same things that you go through as a drug addict or an alcoholic. I see even the most conscious among us making the most unconscious choices out of our addiction to comfortability.I love using the example of the caterpillar becoming the butterfly because the caterpillar's got a pretty cool life, you know? It's chill, it lives on its food source, doesn't have too many threats, it's usually camouflaged so that whatever birds or things might come after it, it's slightly safe, and then it has this weird calling that defies description that says, "There's something more for you." [Laughs] And there's no rationale or reasoning, and in many ways we are that caterpillar going, "Man, I don't want to leave this leaf. This is cool. I've got it made here."[5]And yet there's this deeper calling that tells the caterpillar, "There's something more for you." And then the caterpillar has to trust this great unknown, this great mystery. And fear keeps us from trusting the great mystery within ourselves.For me the divine is the great mystery, that we are all manifestations of this great mystery. I take a breath, and I am amazed at the great mystery that just allowed me to breathe and everything that happened for that magic to happen.TBut this caterpillar follows the great mystery. And then it pulls the cocoon from within itself. It goes into its deepest depths and pulls this cocoon out and then wraps itself in it. And we are afraid of what's inside of ourselves.When something comes up that we don't like, click on the television, go out to eat, go party with friends, go shopping, whatever it is that we don't have to take a good, hard look at what's inside of ourselves. But the caterpillar knows that there's something more, even though there's no reason for it and goes, "Okay, I'm going to do this work. It's uncomfortable, but I'm going to do this work." And then it wraps itself in there, and it's tight and it's dark, and there's nowhere to run and there's no way to sidetrack itself. It's just dealing with its innermost depths. And that process liquefies it. That's not a comfortable, touchy-feely kind of thing. [Laughs] That's not like, ohm, and it's all going to be better. That's some hardcore work.There's the point, though, where that cocoon gets comfortable too. It might be a little cramped and dark in there, and I see that happening in our evolution as people. 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