Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer 2

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..


Related Questions

Drag the word or expression to complete the function.

Answers

Answer:

-5 cos (2x)

Step-by-step explanation:

Reflection over x axis just means "multiply by -1" so the answer is

f(x) = 5 cos (2x)

g(x) = -5 cos (2x)

Find the mean of the data set. 5, 4, 5, 7, 7, 7, 5, 7, 6

Answers

Answer:

Mean x¯¯¯ 5.8888888888889

Median x˜ 6

Mode 7

Range 3

Minimum 4

Maximum 7

Count n 9

Sum 53

Quartiles Quartiles:

Q1 --> 5

Q2 --> 6

Q3 --> 7

Interquartile

Range IQR 2

hope i helped:) can u plz mark me brainlest

Answer:

the mean is 5.88888888889

Step-by-step explanation:

to find the mean, add all the data results together and divide by how many results you have.  

for example:  5+4+5+7+7+7+5+7+6= 53

53 divided by 9= 5.88888888889

have a good day

Solve the equation:
[3 2
5 5]

[x1
x2]+
[1
2]=
[2
-3]

Answers

9514 1404 393

Answer:

  (x1, x2) = (3, -4)

Step-by-step explanation:

As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.

  [tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]

Performing the multiplication of the matrix by the vector gives the solution.

  x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3

  y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4

Using your variables, x1, x2, the solution is ...

  (x1, x2) = (3, -4)

find area and perimeter. plz help very important

Answers

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Step-by-step explanation:

3.Construct a line perpendicular to the line given through the point P at the right​

Answers

Answer:

Step-by-step explanation:

hellp me for a brainly

Answers

Answer:

25π or 78.5mm²

Step-by-step explanation:

[tex]A=3.14*5^{2} \\ =3.14*25\\ =78.5[/tex]

Answer:

78.5 mm² or answer D.

Step-by-step explanation:

The formula for the area of a circle is

A = π*r²

Now we can rewrite with the radius. *Note* I am using 3.14 for pi to make it easier*

A = π*5²

Solve

5² = 25

25 * 3.14 = 78.5

Now since the measurements were done in millimeters, we will add mm to the end.

Also since it is area, we need to add ²

78.5 mm²

What is the missing side?

Answers

Answer:

x=5

Step-by-step explanation:

Area of triangle=1/2 * b * h

In this case b=10, h=x, and A=25

By substituting values in we can say:

[tex]A=\frac{1}{2} * b *h\\25=\frac{1}{2} * 10 * x\\25=5x\\x=5[/tex]

An initial population of 535 quail increases at an annual rate of 25%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?

Answers

Answer: c

Step-by-step explanation:

Select all the expressions that show a way to decompose 512. A. 3 1/2+2 1/2 B. 3/6+2/6 C. 1 1/2+2 1/2+2 1/2 D. 1 1/2+1 1/2+3 1/2 E.1 1/2+1 1/2+2 1/2+2 1/2

Answers

Answer:

C,D,E

Step-by-step explanation:

C, D, E
I believe this is the correct answer

please help i don't get this ​

Answers

Answer:

-4

Step-by-step explanation:

A music store conducted a survey. It showed that the number of CDs purchased by a shopper decreases with the
number of songs he downloaded. What can we likely say?

Answers

Answer: there is a correlation between a number of songs downloaded. there may or may not be causation. further studies would ave to be done to determine this.

Step-by-step explanation:

Answer:

There is a correlation between number of CDs purchased and number of songs downloaded. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

A music store conducted a survey. It showed that the number of CDs purchased by a shopper decreases with the number of songs she downloaded. What can we likely say?

What is happening at A?

Answers

Answer:

the last one

Write the equation in standard form. Y=x+1

Answers

X-y=-1 is the Standard

Can someone please help me I will mark u brilliant

Answers

Answer:

1 cubic inch

Step-by-step explanation:

For rectangular prism:

[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]

Answer: The volume is 1 cubic inch.

Step-by-step explanation:

Volume of 1 cube

V= l*w*h

V= 1/2*1/2*1/2

V= 1/8 or 0.125

Volume of Prism

8*1/8= 1

What is the value of x?

Answers

Answer:

122

Step-by-step explanation:

122 + 58 = 180

Answer:

x=122°

Step-by-step explanation:

58° and x form a straight angle, which is 180°.

x+58°=180°

x=180°-58°=122°

what is 1/2 x 1/2 x 1/2 x 1/2

Answers

Answer:

0.0625

Step-by-step explanation:

Hope this helps :)

Have a nice day <3

Answer:

1/16

Step-by-step explanation:

Just multiply all numerators and all denominators: 1x1x1x1/2x2x2x2. That gives you your total of 1/16.

Find the length of side x in simplest radical form with a rational denominator.

Answers

This is a 30-60-90 right triangle.

In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.

Which of these situations can be modeled by an exponential function?
A) The declining population of a city if 100 people move away every year.
B) A herd of lions whose numbers triple every decade.
C) The amount of money Grant has saved up if he makes $18.50 an hour.
D) Total distance if we drive 75mph for x hours.

Answers

Answer:

B) A herd of lions whose numbers triple every decade.

Step-by-step explanation:

Situations that can be modeled by exponential functions:

A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.

In this question:

In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.

Solve the system of equations x - y = 12 and x + 7y = -20 by combining the
equations.

Answers

Answer:

x=16, y=-4

Step-by-step explanation:

-1(x-y=12)

x+7y=-20

-x+y=-12

x+7y=-20

8y=-32

y=-4

x-4=12

x=16

Answer:

x= 8, y= -4

Step-by-step explanation:

You can subtract one equation by another to eliminate x

(x-y)-(x+7y)=12-(-20)

-8y = 32

y= -4

Substitute y =  -4 in the first equation:

x-(-4) = 12

x =8


A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 ft, width 18 ft, and depth 4 ft. Suppose water is pumped out of the
pool at a rate of 216 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?
hours ( NO LINKS , LINK WILL GET YOU BANNED )

Answers

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

Can you guys help me with this, please?

Answers

Answer:

G) y ≥ 1

Step-by-step explanation:

Range is all the y-values seen on the graph.

Since it starts at (0, 1), the lines just keep increasing so:

y ≥ 1

Mr. Brown has 1/4pan of lasagna left in the refrigerator. He wants to cut the lasagna into equal slices so he can have it for dinner for 3 nights. What fraction of the whole lasagna will he eat each night?

Answers

Answer:

1/12

Step-by-step explanation:

He has a 1/4 pan left and wants to divide that into 3 equal pieces. So in night he will eat 1/3 of what he has left from the 1/4 pan. To figure out how much one slice is from an entire pan:

1/4 * 1/3  = 1/12

Alex was making pumpkin soup that called for 3 and 4/5 cups of pumpkin. If Alex makes 2 batches of soup how many cups of pumpkin will he need?

Answers

Answer:

7 and 3/5

Step-by-step explanation:

3 and 4/5 times 2 is 7 and 3/5

What is the measure of the missing angle

Answers

Answer:

c. 42°

Step-by-step explanation:

two interior angles= one exterior angle

let x be the other interior angle

90° + x=132°

x=132-90

x=42°

Someone Please help me

Answers

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

The answer is $104,95

BRAINLIST!!!
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?

Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

A survey of 71 families showed that:
40 have a son(s)
45 have a daughter(s)
18 had neither a son nor a daughter.
How many families had ONLY son(s)?​

Answers

Answer:

108

Step-by-step explanation:

A single 6-sided die is rolled. Which BEST describes the probability of rolling a number 4 or less? 1) A ) impossible B) unlikely likely certains

Answers

Answer:

it is likely because the majority of the outcomes are in your favor

Answer:

A

Step-by-step explanation:

Impossible, did it on usatestprep

What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units

Answers

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance²  = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61

Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use the 0.01 significance level to test that claim.

Answers

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.29[/tex]

We want to test the hypothesis that this is true, so the alternate hypothesis is:

[tex]H_{a}: p \neq 0.29[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that [tex]\mu = 0.29, \sigma = \sqrt{0.29*0.71}[/tex]

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that [tex]n = 100, X = 0.21[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}[/tex]

[tex]z = -1.76[/tex]

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Other Questions
how gupta empire ideas and beliefs shape our lives and the world around us? Choose the topic sentence that best fits the paragraph below.Scientists studied people who learned the new skill ofjuggling. The juggling practice did help the brain growlarger, but it shrank back to normal once the personfinished practicing the new skill. It seems that the brainboth grows and shrinks with the learning of a new skill. What is the area of the triangle?754units?Please help Shown above is a slope field for the differential equation dydx=y2(4y2). If y = g(x) is the solution to the differential equation with the initial condition g(2)=1, then, limxg(x) is The car company is trying to make a car that is more fuel efficient, meaning it takes less force to get the car to move. Explain which of the three models in Table 2 would be the best choice for fuel efficiency and why it is fuel efficient. (Read the question and type your response in the box provided. Your response will be saved automatically.) Write the unit rate for 1400 words for every 4 pages. What was the significance of the Red Ball Expressto the Allied war effort in World War Il? The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?Round answers to the nearest pound. pounds of cashews pounds of Brazil nuts What color would the methyl orange indicator turn in a solution with a pH of 2? just some easy 5th grade math please help and dont give me any link. Which statement is correct Solve the linear equation. 2 (3 + 2x) = 10 How did Italy become a dictatorship? what the answer for this question ? Suppose the point (3,-1) is changed to (3,0) on this rectangle. Change a second pointso the figure remains a rectangle. What is the area of the new rectangle? What was the cause of the stock market crash of 1929? help please Im bout to fail..... Show and explain how you would solve the following equation by graphing x - 2 = 5 If the surface area of a cube is 390 in. and which best describes the length of the side cube Help me With 1 and 3