The longest side of an obtuse triangle measure 20 cm. the two shorter sides measure x cm.and 3x sm round to the nearest tenth,what is the greatedt possible value of x

Answers

Answer 1

22cm is the greatest

It should be greater than17(20-3)

and smaller than 23(20+3)

Related Questions

The line graphed below passes through the points (-2, 0) and (0, -3). Use the slope formula to calculate the slope between the given points. Verify the slope by counting the rise over the run on the graph.

Answers

The slope = (-3 - 0) / (0- -2) = -3 / 2

Answer:

The answer is -4/5

Step-by-step explanation:

It just is. The test said so.

A restaurant manager recorded the number of people in different age groups who attended her food festival: Histogram with title Food Festival Participants, horizontal axis labeled Age Group (yr) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Which of the following frequency tables represents the data in the histogram accurately? Age Group (year) Number of People 0–19 20 20–39 60 40–59 40 60–79 50 Age Group (year) Number of People 0–19 20 20–39 60 40–59 50 60–79 40 Age Group (year) Number of People 0–19 20 20–39 40 40–59 60 60–79 50 Age Group (year) Number of People 0–19 60 20–39 20 40–59 40 60–79 50

Answers

The third choice is the correct answer because the information provided to you about the histogram shows the height of the first bar going to 20, the second bar going to 40, the third bar going to 60, and the fourth bar going to 50. The third frequency table organized this same information in the same way.

Answer:

There are 3 times as many participants in the 40-59 age group than the 0-19 age group.

Step-by-step explanation:

Because when we take 20 and times it by three we get 60 and the 40-59 age group is 60 so there you go. Hope This Helps:) Brain-list would be greatly appreciated.

A math book sells for $106.50. (a) find the amount of sales tax, to the nearest cent, if the sales tax rate is 8.5%. (b) find the total purchase price

Answers

Answers:
________________________________________________________
a)  " $ 9.05 " .
________________________________________________________
b)  " $ 115 .55 " .
________________________________________________________
Explanation:
________________________________________________________

a)   "FInd the amount of sales tax, to the nearest cent,
if the sales tax rate is 8.5% ."

  → 8.5% of 106.50 = (8.5/100) * 106.50 = 0.085 * 106.50 ;

= 9.0525 ;

→ round to the nearest cent: $ 9.05 .
________________________________________________________
b)  Find the purchase price:

→ $ 106.50
+ 9.05
________________________________________________________
$ 1 1 5.55
________________________________________________________

NEED HELP ASAP!
Subtract.
(4x^2+8x−2)−(2x^2−4x+3)
Answer in standard form

Answers

[tex](4x^2+8x-2)-(2x^2-4x+3)\\\\=4x^2+8x-2-2x^2+4x-3\\\\=(4x^2-2x^2)+(8x+4x)+(-2-3)\\\\=\boxed{2x^2+12x-5}[/tex]

What is the surface area of the right cone Below
WILL MARK BRAINIEST !!

Answers

The formula to find the surface area of a cone is pi*r squared + pi*r*length. In this case, it would be pi*3 squared which is 9pi. You then add that to pi*3*15 which is 45pi. The answer is 54pi. Hope this helped!

Answer:

Option C

Step-by-step explanation:

Given in the picture is a right circular cone with base radius = 3 units and length = 15 units.

We have to find the surface area of the cone.

The total surface area of the cone is the sum of base area + lateral surface area

Base area = area of a circle = [tex]\pi r^2[/tex]

Lateral area of cone = [tex]\pi rl[/tex] where l = length of the cone.

Hence total surface area

= [tex]\pi r (r+l)\\=\pi (3)(3+15)\\=54\pi[/tex] square units

Option C is the answer.

5 out of 8 bags of m&ms had exactly 32 pieces in them. How many bags out of 40 should have exactly 32 pieces

Answers

Probabilities; so 5/8 =32
So 8*?= 40
8*5=40
Then 5*5=25 that means 25 bangs is the answer

At a local baseball game there are 3 hot dog vendors. collectively the vendors sold 1,700 hot dogs. if vendor a sold 456, vendor b sold 607, and vendor c sold 637, what percentage of the total did each vendor sell? (round to the nearest percent.) a) 26 percent, 40 percent, 44 percent b) 45 percent, 37 percent, 18 percent c) 27 percent, 36 percent, 37 percent d) 30 percent, 35 percent, 35 percent

Answers

The answer is C.

Vendor A= 456/1700, which is .268 or 27%
Vendor B= 607/1700, which is .357 or 36%
Vendor C= 637/1700, which is .374 or 37%

For a total of 100%

the correct answer is c) 27%, 36%, AND 37% divide how many hot dogs the vendor sold by 1700 and then round to find the percentage

what are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? the figures are not drawn to scale. a. 13/3 and 169/9 b. 13/3 and 16/9 c. 16/3 and 169/9 d. 16/3 and 16/9

Answers

we know that

a) find the ratio of the perimeters

the ratio of the perimeters is equal to the scale factor
scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3

b) find the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]²*area smaller figure
scale factor²=area larger figure/area smaller figure

the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9

the answer Part b) is
169/9

the complete answer is
13/3 and 169/9

What phrase can you use to represent m-4? M less then 4/ 4 less then m/ m plus 4 or 4 less m

Answers

Final answer:

The phrase 'm less 4' or '4 less than m' can be used to represent the expression 'm-4'. The other phrases mentioned do not accurately represent the mathematical expression 'm-4'.

Explanation:

The phrase that you can use to represent the expression m-4 is 'm less 4' or '4 less than m'. The phrase suggests that we are subtracting 4 from variable m. The phrase 'm plus 4' would be used to represent m+4 and does not apply here. So, in expressing the concept of subtraction in a phrase, we often say things like '4 less than m' which clearly conveys that 4 is being subtracted from m.

Learn more about Mathematical Phrasing here:

https://brainly.com/question/33441052

#SPJ11

Mark made a business trip of 250250 miles. he averaged 50mph50⁢mph for the first part of the trip and 60mph60⁢mph for the second part. if the trip took 4.54.5 hours, how long did he travel at each rate?

Answers

i think he traveled for 2.5 hrs at 56 mi/hr

Bart can paint one house in 3 hours. ann can paint one house in 5 hours. how long would it take bart & ann to paint one house if they worked together?

Answers

It will take them 4 hours

Factor completely: 6b - 8ab + 15 - 20a

Answers

For this case we have the following expression:
6b - 8ab + 15 - 20a
We can rewrite the expression factoring.
We have then:
(4a-3) * (- 2b-5)
Checking we have:
-8ab-20a + 6b + 15
The resulting expression is the same.
Answer:
(4a-3) * (- 2b-5)

find the surface area of each figure. Round your answer to the nearest tenth, if necessary

Answers

Let A be the surface area, b the base, h the height, s the hypotenuse and l the length.

b=8
h=4.3
s=7
l=5

A= b²+bl+bs+bh

A= 8²+8*5+8*7+8*4.3

A= 194.4 m³

This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my work and tell me if I did it properly! Thank you.

Answers

Part A

Everything looks good but line 4. You need to put all of the "2h" in parenthesis so the teacher will know you are squaring all of 2h. As you have it right now, you are saying "only square the h, not the 2". Be careful as silly mistakes like this will often cost you points.

============================================================

Part B

It looks like you have the right answer. Though you'll need to use parenthesis to ensure that all of "75t/(2pi)" is under the cube root. I'm assuming you made a typo or forgot to put the parenthesis.

dh/dt = (25)/(2pi*h^2)
2pi*h^2*dh = 25*dt
int[ 2pi*h^2*dh ] = int[ 25*dt ] ... applying integral to both sides
(2/3)pi*h^3 = 25t + C
2pi*h^3 = 3(25t + C)
h^3 = (3(25t + C))/(2pi)
h^3 = (75t + 3C)/(2pi)
h^3 = (75t + C)/(2pi)
h = [ (75t + C)/(2pi) ]^(1/3)

Plug in the initial conditions. If the volume is V = 0 then the height is h = 0 at time t = 0
0 = [ (75(0) + C)/(2pi) ]^(1/3)
0 = [ (0 + C)/(2pi) ]^(1/3)
0 = [ (C)/(2pi) ]^(1/3)
0^3 = (C)/(2pi)
0 = C/(2pi)
C/(2pi) = 0
C = 0*2pi
C = 0

Therefore the h(t) function is...
h(t) = [ (75t + C)/(2pi) ]^(1/3)
h(t) = [ (75t + 0)/(2pi) ]^(1/3)
h(t) = [ (75t)/(2pi) ]^(1/3)

Answer:
h(t) = [ (75t)/(2pi) ]^(1/3)

============================================================

Part C

Your answer is correct.
Below is an alternative way to find the same answer

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

Plug in the given height; solve for t
h(t) = [ (75t)/(2pi) ]^(1/3)
8 = [ (75t)/(2pi) ]^(1/3)
8^3 = (75t)/(2pi)
512 = (75t)/(2pi)
(75t)/(2pi) = 512
75t = 512*2pi
75t = 1024pi
t = 1024pi/75
At this time value, the height of the water is 8 feet

Set up the radius r(t) function
r = 2*h
r = 2*h(t)
r = 2*[ (75t)/(2pi) ]^(1/3) .... using the answer from part B

Differentiate that r(t) function with respect to t
r = 2*[ (75t)/(2pi) ]^(1/3)
dr/dt = 2*(1/3)*[ (75t)/(2pi) ]^(1/3-1)*d/dt[(75t)/(2pi)]
dr/dt = (2/3)*[ (75t)/(2pi) ]^(-2/3)*(75/(2pi))
dr/dt = (2/3)*(75/(2pi))*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)

Plug in t = 1024pi/75 found earlier above
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75(1024pi/75))/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (1024pi)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*(1/64)
dr/dt = 25/(64pi)
getting the same answer as before

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

Thinking back as I finish up, your method is definitely shorter and more efficient. So I prefer your method, which is effectively this:
r = 2h, dr/dh = 2
dh/dt = (25)/(2pi*h^2) ... from part A
dr/dt = dr/dh*dh/dt ... chain rule
dr/dt = 2*((25)/(2pi*h^2))
dr/dt = ((25)/(pi*h^2))
dr/dt = ((25)/(pi*8^2)) ... plugging in h = 8
dr/dt = (25)/(64pi)
which is what you stated in your screenshot (though I added on the line dr/dt = dr/dh*dh/dt to show the chain rule in action)

Help Asap! 30 Points!
What is the volume of this sphere? r = 2.5 m

Answers

The volume would be,

65.45 m^3

Good Luck ^-^

The equation:
V = 4/3πr^3
input r:
V = 4/3π(2.5^3)
Multiply:
V = 4/3π(15.625)
V = 4/3(3.14)(15.625)
Multiply:
V = 4/3(49.0625)
Multiply by 4:
V = 196.25/3
V = 65.4166
Round up:
V = 65.42 m^3

CAN SOMEONE HELP ME ON THIS

Answers

We apply the formula of distance between points:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
We have then:
For WX:
WX = root ((- 3 - (- 10)) ^ 2 + (- 1-4) ^ 2)
WX = 8.602325267
For XY:
XY = root ((- 5 - (- 3)) ^ 2+ (11 - (- 1)) ^ 2)
XY = 12.16552506
For WY:
WY = root ((- 5 - (- 10)) ^ 2+ (11-4) ^ 2)
WY = 8.602325267
The triangle is isosceles because it has two equal sides.
Answer:
WX = 8.60
XY = 12.17
WY = 8.60
Isosceles

You spend 60 on clothes and buy 3 dvd movies. your friend spends nothing on clothes and buys 8 dvd movies. you both spend the same amount of money. how much does each dvd movie cost?

Answers

Each dvd cost $7.50 how? Your friends buy 8 dvd's and in total is 60, you want to divide 60 from 8 and find that it's 7.50 and then multiply 8 to 7.50 and it should be 60. Hope this helps!!

Each DVD movie costs $12. This is calculated by setting up and solving an equation where the total spending on clothes and 3 DVDs equals the spending on 8 DVDs, as both parties spent the same amount.

To find out how much each DVD movie costs, we need to set up an equation based on the given information. You spent $60 on clothes and bought 3 DVD movies, while your friend spent $0 on clothes and bought 8 DVD movies. It is given that both of you spent the same amount of money. Let's denote the cost of each DVD movie as x.

The total amount you spent is the cost of the clothes plus the cost of the 3 DVD movies, which can be expressed as $60 + 3x. Your friend spent the cost of the 8 DVD movies, which is 8x. Since both amounts are equal, we have:

60 + 3x = 8x

Solving this equation for x:

Subtract 3x from both sides: 60 = 5xDivide both sides by 5: x = $12

Therefore, the price of each DVD movie is $12.

Determine whether quantities vary directly or inversely and find the constant of variation. If 5 bushels of wheat weigh 136 kg, how much do 3.5 bushels of wheat weigh?

Answers

Well if 5 bushels = 136kg then 1 = 27.2 then 3.5 = 95.2 so it is directly and th vriation is 27.2

Let the bushels of wheat is b and weight of the wheat is w.

We can say that more the bushels of wheat more will be the weight of the wheat.

Hence, the quantities vary directly.

Therefore, we have

[tex]b=kw[/tex], where k is the constant of variation.

Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have

[tex]5=136k\\ \\ k=\frac{5}{136}[/tex]

Thus, the constant of variation is [tex]\frac{5}{136}[/tex]

Now, we have been given 3.5 bushels of wheat. Hence, we have

[tex]3.5=\frac{5}{136} w\\ \\ w=\frac{136\times 3.5}{5} \\ \\ w=95.2[/tex]

Therefore, 3.5 bushels of wheat weigh 95.2 kg

Which transformation of Figure A results in Figure A'?

a reflection across the y-axis

a reflection across the x-axis

a clockwise rotation of 90° about the origin

a translation 12 units right and 2 units down.

Answers

the answer is D a translation 12 units right and 2 units down.

Answer:

A translation 12 units right and 2 units down.

Step-by-step explanation:

Given : Figure A and figure A'.

To find : Which transformation of Figure A results in Figure A'.

Solution : We have given that

Parent Triangle A with coordinates ( -6 ,-3) ; ( -4 ,-5) ; ( -8 , - 4)

Transformed triangle with coordinates ( 6 ,-5) ; ( 8 ,-7) ; ( 4 , - 6)

We can see from the coordinates

( -6 +12 ,-3-2) = ( 6 ,-5)

( -4+ 12 ,-5 -2) = ( 8 ,-7)

( -8 + 12 , - 4 -2) = ( 4 , - 6).

Therefore, A translation 12 units right and 2 units down.

Trains on the line reached an average speed of 125 miles per hour. Approximately, what is this speed in kilometers per hour?

Answers

125 miles per hour is equal to 201.168 kilometers per hour.

un joyero vende 13 anillos de oro y 18 de plata por 9405 euros. sabiendo que el anillo de oro cuesta el triple que el de plata ¿cual es el precio de cada anillo?

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that:

- He sales 13 gold rings and 18 silver rings in 9405 euros.
- The cost of the silver ring is three times the cost of the gold ring.

2. Keeping the information above on mind, you have the following system of equations:

x: the gold ring.
y: the silver ring.

x+y=9405
x=3y

3. Then, you have:

(3y)+y=9405
y=9405/4
y=2351.23 euros

x=3y
x=3(2351.23)
x=7053.75 euros

The answer is:
- Gold ring=7053.75 euros
- Silver ring=2351.23 euros

Ethan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan's history test?

Answers

32 is 80% of x
x=40
Did most of the math in my head, I think 40 is the answer tho. xD gl!

hope this helps........

Eight pounds of ground beef are divided into quarter-pound hamburger patties. How many hamburger patties are there in total?

Answers

8 times 4 equals 32, the total number of patties would be 32

At noon joyce drove to the lake at 30 mph, but she made the long walk back home at 4 mph. how many hours did she walk if she was gone for 17 hours

Answers

By definition we have the following equation:
t = d / v
Where,
t: time
d: distance
v: speed
For this case we have:
d / 30 + d / 4 = 17
Rewriting we have:
2d + 15d = 17 (60)
17d = 17 (60)
d = 60 mi
Then, the walking time is
t = d / v
t = 60/4
t = 15 hours
Answer:
She walked
t = 15 hours

Answer:

i just did this on a quiz the answer was 15 hours

Step-by-step explanation:

Name three properties that a square and a rhombus share.

Answers

They are quadrilateral.
Their all sides are equal.
Diagonals bisect at 90° ( right angle )

Find the missing term of the geometric sequence. 45 ___ 1620

Answers

A geometric sequence has a common ratio. Let that ratio be r. Then you get the sequence:
[tex]45,45r,45r^{2}[/tex]
You know that the third term is 1620, so just solve for r:
[tex]45r^{2}=1620 \\ r^{2}=36 \\ r=\pm6[/tex]
So the common ratio is either 6 or -6. That means there are two possible missing terms:
[tex]45r \\ =45(\pm6) \\ =\pm270[/tex]

The missing term in the geometric sequence 45, ___, 1620 is 270.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given the geometric sequence: 45, ___, 1620, we need to find the missing term.

Let's denote the missing term as a2 and the common ratio as r. The terms of the geometric sequence are determined by the formula:

an = a1 * rn-1

For our sequence:

The first term, a1, is 45.The third term, a3, is 1620.

We express the third term in terms of the first term and common ratio:

1620 = 45 * r2

Solving for r2:

r2 = 1620 / 45
r2 = 36
r = 6

Since the common ratio, r, is 6, we can find the missing second term, a2:

a2 = a1 * r
a2 = 45 * 6 = 270

Thus, the complete sequence is 45, 270, 1620.

Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then compare measure a with b and h to find the answer. Please help me out on how to find measure length b

Answers

check the picture below.

this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.

the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.

if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.

and of course, the other angle for B will be 180 - 36.86989765.

Ms. Acosta received a job as a teacher with a starting salary of $34,000. According to her contact, she will receive a 1.5% increase in her salary every year. How much will Ms. Acosta earn in 7 years

Answers

The total amount that Ms. Acosta will earn in 7 years will be given by:
A=P(1+r/100)^n
where:
P=principles
r=rate
n=time
From the information given:
P=$34000, r=1.5%, n=7
thus
A=34000(1+1.5/100)67
A=$37,734.73

The length of a rectangle is increasing at a rate of 6 cm/s and the width is increasing at a rate of 4 cm/s. when the length is 16 cm and the width is 12 cm, how fast is the area of the rectangle increasing?

Answers

The area is 192 and the speed it’s increasing at is 24 cm^2/s

On the first test, the mean is 70, the standard deviation is 5, and your score is 80. on the second test, the mean is 70, the standard deviation is 15, and your score is 85. compared to other students, how well did you do on the two tests?

Answers

85+88+87+80+x all divided by 5= 82

340+x=410

410-340=70

Other Questions

The Purpose of the Berlin Conference was to divide ___________ between ________ countries. The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius The area of a rectangle is represented by the expression 6x^3y^5. Which of the following could be the dimensions of the rectangle?2xy^2 and 3x^2y^32xy^2 and 4x^2y^32x^3y and 3y^42x^3y and 3xy^4 A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. What is the probability that it is a multiple of 6 given that it is a 2-digit number? HELP ASAP WILL GIVE BRAINLIEST How does the extinction of a species affect humans ? A. Extinction contributes to the loss is natural food sources. B. Extinction generates new sources of medicineC. Extinction helps keep air and water clean D. Extinction makes the environment more pleasant Read the excerpt below from the introduction to the book Access to the Genome: The Challenge to Equality and answer the questions that follow. As genetic technology and other technologies relevant to human biology are developed, society will face a host of complex ethical, legal, and social issues. One of the most complex sets of issues involves our choices over who will have access to these technologies. . . . If, indeed, diseases can be cured or prevented, and if embryos can be selected or enhanced, but the technologies are not available for all to have [due to affordability], how will our society respond? What does justice require, and what will political realities permit?The issues surrounding how to distribute access to new genetic technologies are the focus of this book. These questions and problems are not newwe struggle now with the fair allocation of vital health care resources in a society marked by great discrepancies in wealth. But genetic technologies will dramatically up the ante as the menu of powerful possibilites expands. With the possible exception of slavery, these technologies represent the most profound challege to cherished notions of social equality ever encountered. Decisions over who will have access to what genetic technologies will likely determine the kind of society and political system that will prevail in the future.Before discussing the social and moral issues raised by these questions, we will first provide some background information on the genetic revolution itself. In the next chapter, we describe the massive effort to decode the human genetic recipe. In Chapter Three, we describe the technologies that this effort is likely to produce and the potential benefits that they will provide. Then we will embark on a discussion of the social and ethical problems that these technologies pose and, finally, discuss potential solutions. (Mehlman 6)Mehlman, Maxwell J. Access to the Genome: The Challenge to Equality. Washington, DC: Georgetown U Press, 1998. Print.Is this a primary or secondary source? Would the information covered in this book be more relevant as a primary source or secondary source? One object has a charge of +5.0 10-6 c, and a second object has a charge of +2.0 10-6c. the objects are 0.5 meters apart. what is the electrostatic force between them? A stack of cards is numbered 1 to 21. Kelly pulls one card from the stack. What is the best approximation for the probability that the card is an even number5%, 21%, 48%, or 52%Please help Asap Who does nick and gatsby run into as they are leaving the restaurant? Which of the following effects of a BAC of .2 percent does NOT relate to ones driving ability?impaired gross motor skills such as walking or gestureslack of coordinationimpaired reactionsbreathalyzer test results indicating a high BAC What law was passed in 1947 to monitor the activities and powers of the labor unions in the United States.? Which equation is the perpendicular bisector of the line segment with endpoints (-2,4) (6,8) What size (internal diameter) endotracheal tube should be used to intubate a newborn with an estimated gestational age of 26 weeks (estimated birth weight of 800 g)? What is the minimum amount of water needed to dissolve 51g of NaNO3 at 40 degrees Celsius? Match each rational expression to its simplest form. Find a cartesian equation for the curve. r = 9 sin() Helium gas has a molar mass of 4 g/mol. oxygen gas has a molar mass of 32 g/mol. how much faster or slower would helium effuse than oxygen from a small opening Which type of password would be considered secure? When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle. how much of the longitude line directly under the plane is visible from 5 miles high?