Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Select all of the values that could represent the length of the third board of his triangular sandbox.

Answers

Answer 1

Answer:

9 feet, 15 feet, 19 feet

Step-by-step explanation:

Options are:

2 feet 3 feet 9 feet 15 feet 19 feet 21 feet 30 feet

-------------------------------------

Use the triangle inequality theorem: sum of any two side must be greater than the third side by length

2 feet     ⇒  no, as 2 + 9 < 123 feet     ⇒  no, as 3 + 9 = 129 feet     ⇒  yes15 feet    ⇒  yes19 feet    ⇒  yes21 feet    ⇒  no, as 9 + 12 = 2130 feet  ⇒  no, as 9 + 12 < 30


Related Questions

The approximate mean age is _____ years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
23
22
24
15
31
48
34
18
4

Answers

Tbh this question made no sense

How many times larger is (1.088 x 101) than (8 x 10−1)?

13.6
8.704
7.35
0.136

Answers

Answer:

0.136

Step-by-step explanation:

If we want to find out how many times larger a number is, they need to have the same amount of exponents to make it easier.

We can move the decimal point in (8 * 10^-1) (which equals 0.8) by 1 to the right, so it's exponent is now 1, same as the (1.088 * 10^1). Now we can divide.

1.088/8 is 0.136, so that is your answer.

Find the value of x in each case please

Answers

The value of x as given in the diagram is 18

Supplementary angles

The sum of supplementary angles is 180 degrees. From the given figure;

The measure of the angle 2x and 8x are supplementary such that;

2x + 8x = 180

10x = 180

Divide both sides by 10 to have:

10x/10 = 180/10

x = 18

Hence the value of x as given in the diagram is 18

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determine if the numerical value describes a parameter or a statistic. a recent poll of 2707 home owners in michigan showed that the average price of their houses is $265,000

Answers

The numerical value is a statistic.

What is a statistic?

A parameter is a value that is used to describe a whole population. A statistic is a number that describes a sample.

There would be more than 2707 homeowners in Michigan. Thus, only a sample of all homeowners was used. Since a sample was used the numerical value is a statistic.

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Gwen davis is a middle school math teacher. she starts today's lesson by introducing the topic of percent increase and percent decrease and reviewing decimals and percents. then, she develops student understanding by explaining and modeling the process of solving percent increase and percent decrease problems. based on the strategy gwen has chosen, what should her next step be

Answers

Grew Davis next step would be to give homework for the students and conduct a test in the next week .

Gwen Davis is a middle school math teacher.

she starts today's lesson by introducing the topic of percent increase and percent decrease and reviewing decimals and percent

How do I calculate a percentage decrease?

Percentage decrease formula can be obtained by simply dividing the decreased value by the original value and multiplying that with 100. Here, Decreased Value = Original Value – New Value.

How do you calculate a 20% increase?

Multiply the original value by 0.2 to find the amount of a 20 percent markup, or multiply it by 1.2 to the original value

Hence , Grew Davis next step would be to give homework for the students and conduct a test in the next week .

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PLS HELP!!!
Fine the measure of the angle indicated in bold. Then find the measure of the other indicated angle.

Answers

The answer for the following questions are:

x= 3x= 10x= 43 = x3 = xx= 8x= 8x=9x=5 x=6

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint.

11. 5+35x + 24x - 2 = 180 (linear pair)

       59x = 177

          x= 3

12. 15 + 10x = -5 + 12x (corresponding angle)

          20 = 2x

           x= 10

13. 13x -4 + 8 +9x =180 (linear pair)

        22x +4 = 180

        22x = 176

           x= 4

14. 24x + 3 = 25x (alternate interior angle)

             3 = x

15. 32x + 4 = 1 + 33x ( corresponding angle)

          3 = x

16. 13x+ 11 = 15x - 5 (alternate interior angle)

    -2x = -16

      x= 8

17. 15x + 8x -4 = 180 (linear pair)

    23x = 184

       x=8

18. 9x +16 = 11x -2 ( Vertically opposite angle)

    -2x = -18

       x=9

19.  5+ 17x = 19x -5 (alternate interior angle)

      2x = 10

        x=5

20. 8x - 3 + 23x -3 =180 ( Linear pair)

      31x = 186

       x=6

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(ross p1.15) consider a group of 20 people. if everyone shakes hands with everyone else, how many handshakes take place?

Answers

190 handshakes take place.

What is Combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the arrangements ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement).

Combinatorics is the study of combinations, although mathematics and finance are two other fields that employ combinations.

EXPLNATION : For a handshake you need two people. Therefore, select two from twenty, that is, 20C2 ways. It is 20*19/2 = 190.

In general, if there are ’n’ number of people there can be nC2 handshakes.

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(2.5+5/3)divided 4/3-2.25

Answers

Answer:

7/8

Step-by-step explanation:

add your decimal your fraction inside parentheses then divide it by the rest of the equation

Which choice is a correct equation for the graph shown below?
A y = 2x + 20
B. y = 3x + 1
C. y = 10x + 5
D. y = 15x + 35

Answers

Answer:

C

Step-by-step explanation:

y = mx +b  The b is where the graph crosses the y axis.  If you look a the graph it is crossing at 5.  The m is the slope.  It is the change in y over the change in x.  If you start at 5 and go up10 and over 1, you will be on the line.  So our slope is 10/1 which is just 10

Answer:

C

Step-by-step explanation:

it starts on 5 and goes up by 10

Please help with problem 12

Answers

The pair of ratios that form a proportion is given by:

B) 5/15 and 4/12.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

A pair of ratios will form a proportion if the division of the denominator by the numerator is the same, hence:

15/5 = 3.12/4 = 3.

The pair of ratios that form a proportion is given by:

B) 5/15 and 4/12.

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Solve 0. 504 ÷ 8.

answer choices:

−7. 496

0. 063

0. 630

4. 32

Answers

Answer:

0.063

Step-by-step explanation:

0.504 divided by 8 is 0.063

Hope It Helps

Sorry If I'm Wrong

Answer: The answer is 0.630

Step-by-step explanation: The picture proves my answer :D

Me podrian ayudar con estos dos problemas? porfavor es urgente:(

Answers

en numero uno , dos mas , papel 2 , un mas en tees

In the figure, the radius of the large circle is three times the radius of the small circle. About what percent of the large circle is covered by the small circle?

I NEED THIS NOW PLEEEEEASE!!

Answers

The percent of the large circle is covered by the small circle will be 33.3%.

How to calculate the percentage?

It should be noted that the radius of the small circle will be r.

The radius of the big circle will be 3r.

Therefore, the percent of the large circle is covered by the small circle will be:

= r / 3r × 100

= 1/3 × 100

= 33.3%

The percent of the large circle is covered by the small circle will be 33.3%.

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Which relation is a function of x?
O {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)}
y
2
-6
X
0
0
0
0
9
-7
Ox=3y²-7
X=
-5-4-3-2
5
4
3
2
-2
2 3 4 5 x

Answers

Answer:

x=3y2-7

x=3×1-7

x=3-7

x=-4

Agnes scored 82 on her first test, 69 on her second test, and 84 on her third test. Suppose Agnes has one more test in the semester and what’s to finish with a mean im score of 80

What score does she need on her last test to finish with a mean score of 80?

Answers

Answer:

Agnes would need to score a 85 to get an average of 80.

Step-by-step explanation:

[tex]\frac{82+69+84+x}{4}[/tex] = 80  multiply both sides by 4

82+69+84+X = 320

235+X = 320  subtract both sides by235

x = 85

Factor completely.
100-9x²

someone help please

Answers

Answer:

[tex](10+3x)(10-3x)[/tex]

Step-by-step explanation:

[tex]100-9x^2\\\sqrt{100} =10\\\sqrt{9} =3\\3*-3=-9\\\sqrt{x^2} = x \\(10-3x)(10+3x)[/tex]

________________________________________________________

Considering both terms are perfect squares, factor using the difference of squares formula:

[tex]a^2-b^2=(a+b)(a-b)[/tex]

In this situation, a = 10 and b = 3x. With this, now plug in your data into the formula.

(10 + 3x) (10 - 3x)

_________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

Fraction between 0.3 and 0.2

Answers

Answer:

1/4

Step-by-step explanation:

(0.2+0.3) / 2 = 0.25

0.25 = 25% = 25/100 = 1/4

Answer: 3/2

Step-by-step explanation:

[tex]\displaystyle\\0.3:0.2=\\\\\frac{3}{10} :\frac{2}{10}=\\\\ \frac{3}{10}*\frac{10}{2} =\\\\\frac{(3)(10)}{(10)(2)}=\\\\ \frac{3}{2}[/tex]

with a random​ sample, each individual has the same chance of being selected. with a simple random​ sample, all samples of the same size have the same chance of being selected.

Answers

A subset of a statistical population called a simple random sample is one in which each member has an equal chance of being chosen.

What is Probability sampling?

A probability Slice is a process of opting for a sample from a population when the selection is grounded on the randomization principle, frequently known as chance or arbitrary selection. In general, a probability slice is more delicate, time-consuming, and precious than a non-probability slice.

A random/ arbitrary sample is similar to a straightforward arbitrary sample. The distinction between the two is that any object in the population has an equal probability of being named with a simple arbitrary slice. Every item doesn't inescapably have an equal chance of being chosen in an arbitrary slice.

A random/ arbitrary sample is one that was named at arbitrary. It should really be labeled as a sample that was chosen at arbitrary. In order to help bias and other negative goods, arbitrary samples are employed. In fact, it's not as easy as it seems to opt for a arbitrary sample that involves further than simply opting for 100 people from a population of 1000. Make sure your arbitrary sample is actually random/ arbitrary before using it.

The liability of a straightforward random/ arbitrary slice, a subset of a statistical population called a simple random/ arbitrary sample is one in which each member has an equal chance of being chosen. A straightforward arbitrary sample is intended to offer an objective definition of a group.

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What is the inequality shown

Answers

Answer:

-4 [tex]\leq[/tex] x [tex]\leq[/tex] 3

Step-by-step explanation:

The filled in dots mean that those numbers are included

Simplify. (7^{6})^{2}(7
6
)
2

Answers

The result of the exponent given is 7^12

Solving exponents

In order for us to solve the exponential expression given, we will use the law of exponent below;

(a^m)^n = a^mn (multiply the powers)

Given the expression

[tex](7^{6})^{2}[/tex]

Multiply the exponents to have;

7^6(2)

7^12

Hence the result of the exponent given is 7^12

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9y=99
Ingrese su respuesta...

Answers

The value of y for which the left hand side of the equation is equal to Right hand side is 11.

What is a solution of a linear equation?

Solution of a linear equation is the value of the variable for which the left hand side and right hand side of the equation are equal.

Given is the following equation -

9y = 99

In order to solve the equation. we have to find the value of y for which 9y is equal to 99. Now -

9y = 99

Divide both sides by 9 -

9y/9 = 99/9

y = 11

Therefore, the value of y for which the left hand side of the equation is equal to Right hand side is 11.

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[The given question is written in Spanish. The following is the statement converted onto English as

9y=99 Enter your answer.}

Jane ordered a few moving boxes from a local store as she is relocating to Atlanta.
She returned 28 damaged boxes. She allotted the remaining boxes equally for
each of the four rooms from which her belongings had to be packed. If 5 boxes
were used for each
room, how many boxes did she receive from the store
initially?

Answers

48 boxes did she receive from the store initially in probability.

How does probability explain work?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.Basic probability is governed by three primary rules: the addition rule, the multiplication rule, and the complement rule.Since there is a 50% chance that the outcome will be heads, we can anticipate 50 heads. But when we actually test it, we may get 48 heads, 55 heads, or anything else at all, though it will typically be a figure close to 50.

Based on the given conditions formulate = 28 + 5 * 4

Calculate the product or quotient = 28 + 20

calculate the sum or difference = 48

get the result  = 48

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What is the value of -56+2(-3) - (-80)

Answers

The value of -56+2*(-3)-(-80) is 18

Answer:

18

Step-by-step explanation:

-56+2(-3) - (-80)

Simplify.

-56+2(-3) - (-80)=

=-56 - 6 + 80=

=-62+80=18

Hope this helps!

Please mark as brainliest if correct!

Estimate the average rate of change over the interval [-1, 0]. Show your work below or on the graph.​

Answers

The point is the answer of -1,0

Write the equation of the line in fully simplified slope-intercept form.
x

Answers

The answer is Y=4/5x + 8
Use y=mx+b (slope intercept form)
F(x)= 4/5x+ 8

questionten times a number, x, is one-half the sum of the number and three. which answer represents this situation? 10x

Answers

The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

Ten times a number, x, is one-half the sum of the number and three. Then the equation will be

10x = 1/2(x + 3)

Simplify the equation, then we have

20x = x + 3

19x = 3

x = 3 / 19

Thus, the solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.

Your question was incomplete, probably the question was...

Ten times a number, x, is one-half the sum of the number and three. Which answer represents this situation?

A. 10x = 1/2(x + 3)

B. 10x = 1/2x

C. 10x = 1/2x + 3

D. 10x = (x + 3)

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unit 2 sample work due aug 29 3 of 103 of 10 items question order the integers from least to greatest: -9, 5, 2, -8, 0, 10, -12 0, 2, 5, -8, -9, 10, -12 0, 2, 5, -8, -9, 10, -12 -12, -9, -8, 0, 2, 5, 10 -12, -9, -8, 0, 2, 5, 10 -9, -8, 0, 2, 5, 10, -12 -9, -8, 0, 2, 5, 10, -12 -8, -9, -12, 0, 2, 5, 10

Answers

The integers from least to greatest is -12<-9<-8<0<2<5<10.

The given set of numbers are -9, 5, 2, -8, 0, 10, -12.

We need to order the integers from least to greatest.

What is ascending order of integers?

Ascending order refers to the arrangement of numbers or other items in increasing order from smallest to largest. Numbers that we see on a number line from left to right are examples of ascending order. We usually represent it by putting commas between numbers or by using the 'less-than symbol (<)' between numbers.

With negative numbers, the highest number with the negative sign has the least value.

So, -12<-9<-8<0<2<5<10.

Therefore, the integers from least to greatest is -12<-9<-8<0<2<5<10.

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The rectangle below has an area of x^2+8x+15x
2
+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.
What expression represents the length of the rectangle?
A rectangle with a width of x plus three and an unknown length. The area of the rectangle is x squared plus eight x plus fifteen.

Answers

The length of the given rectangle is x + 5 meters.

What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

Given:

Area of rectangle  = x² + 8x + 15 sq.metersWidth = x + 3 meters

To find: Length of the rectangle

Finding:

Let 'a' be the length of the rectangle.

We know that area of a rectangle = length * width

On substituting the given values in the above formula, we get:

=>  x² + 8x + 15 = a (x + 3)

=> a = [tex]\frac{x^2+8x + 15}{x+3}[/tex]

=> a = [tex]\frac{(x+5)(x+3)}{x+3}[/tex]

=> a = x + 5

Hence, The length of the given rectangle is x + 5 meters.

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Evaluate each expression. Express the result in scientific notation.

Answers

Answer:

4.     [tex]6.3 \times 10^4[/tex]

6.     [tex]3.75 \times 10^{-19}[/tex]

Step-by-step explanation:

9.45 * 10^10 / (1.5 * 10^6) = 9.45 / 1.5 * 10^10 / 10^6 = 6.3 * 10^4

9 * 10^(-11) / (2.4 * 10^8) = 9 / 2.4 * 10^(-11) / 10^8 = 3.75 * 10^(-19)

Sheila wants to build a rectangular play space
for her dog. She has 100 feet of fencing and
she wants it to be 5 times as long as it is wide.
What dimensions should the play area be?

Answers

The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.

What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Now,

Given:

Fencing available = 100 feetLength = 5 times the width

To find: Length and Width.

Let the width of the rectangular play area be x.

Then, the length = 5x

According to the formula of perimeter of a rectangle,

100 = 2 (x + 5x)

=> 50 = 6x

=> x = 8.3 feet (Approx.)

That is the width of the play area = 8.3 feet

=> Length = 5(8.3) = 41.5 feet.

Hence, The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.

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Where are they, who go hurt, etc?3 Explain what Grims means events that evoke strong emotions when they occur are sometimes associated with vivid, detailed, and compelling memories. many laypersons believe that heightened emotional arousal leads to the formation of durable, accurate memories of the event, as well as the details surrounding how the news was received. an important question concerns whether memories of events associated with high levels of emotional arousal are qualitatively different from memories for ordinary events, which can be difficult to remember unless the event was special. researchers have studied the relationship between the vividness of emotional memories and their accuracy. in study 1, participants memories of a famous political assassination attempt were assessed twice, one month and seven months after the event. many participants reports included details about where they were, what they were doing, who brought the news, how they and others felt, and what happened afterward. strong emotional reactions to the event were associated with detailed reports that were consistent over time. in study 2, participants described how they had heard about a disaster one day after it had occurred. they answered specific questions about key details. two-and-a-half years later, the memories of nearly half of those participants were reassessed. each participants second account was compared with his or her first account. consistency across the two reports was used as a measure of accuracy. although participants expressed confidence in the accuracy of their second accounts, there were many discrepancies. only three participants provided the same account on both occasions, and 25% were wrong about every key detail. half of the participants got one key detail right (for example, who told them), while getting all the others wrong. in addition to omission errors, such as failing to report something that was said, many of the errors were intrusions, such as a detail that was consistent with the situation but missing from the initial report. not all emotional memories involve learning about momentous, newsworthy events. in study 3, participants who viewed a sequence of slides involving a violent car accident remembered more central aspects of the event (for example, a car involved in the accident) and fewer peripheral details (for example, the street). adapted from e. a. kensinger, "remembering the details: effects of emotion." 2009 sage publications and the international society for research on emotion; u. neisser and n. harsch, "affect and accuracy in recall." 1996 cambridge university press. question the finding from study 3 regarding the differential effect of emotional arousal on memory for central and peripheral details is best explained by which mechanism? increasing emotional arousal: Digital Fruit is financed solely by common stock and has outstanding 37 million shares with a market price of $10 a share. It now announces that it intends to issue $280 million of debt and to use the proceeds to buy back common stock. There are no taxes. a. What is the expected market price of the common stock after the announcement A bean plant grows at a constant rate for a month. After 10 days, the plant is 35 centimeters tall. After 20 days, the plant is 55 centimeters tall. Which equation models the height of the plant, y, after x days? 6.Write an equation of the line that passes through (3,8) and is perpendicular to the line y=5x4. Biomedical engineering is the manipulation of an organism's genes True or False When is now-casting used?15 days from nowSevere Weather EventsClear Sky DaysSunny Days Help me pleaseeee!! 10 points Using E-commerce , how you can make Secure payments how are protons created. HELLPPPPPUIPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP 3x + 4 = -11 what is the value of x in this equation? 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