Determine if the side lengths could form a triangle. Use an inequality to prove your answer.
a) 16 m, 21 m, 39 m
b) 34 km, 27 km, 58 km
c) 29 ft, 38 ft, 9 ft
9514 1404 393
Answer:
a) no
b) yes
c) maybe (no)
Step-by-step explanation:
There are two versions of the triangle inequality. One requires ...
a + b > c
for any triple of side measures a, b, c.
The other allows ...
a + b ≥ c
which admits "triangles" that have zero height and look like line segments.
Most questions asking "do these lengths form a triangle" are concerned with the "greater than" case, and disallow the "or equal to" case.
__
a)
[tex]16+21=37\ngtr39\qquad\text{not a triangle}[/tex]
b)
[tex]27+34=61>58\qquad\text{could be a triangle}[/tex]
c)
[tex]9+29=38\ge38\qquad\text{could be a triangle if "equal to" is allowed}[/tex]
the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
Calculate the area of the shaded region in two different ways. Explain the difference between your two methods.
Answer:
20 unit²Step-by-step explanation:
Method 1Area of trapezium
A = 1/2(b1 + b2)hA = 1/2(3 + 7)(4) = 1/2(10)(4) = 20 unit²Method 2Area of rectangle - Area of triangle
A = lw = 7*4 = 28 unit²A = 1/2bh = 1/2*4*4 = 8 unit²28 - 8 = 20 unit²(
1
×
10
6
)
−
(
9
×102)
Answer:
-812
Step-by-step explanation:
(1×106)-(9×102)
106-918
-812
help i will mark brainlist if i cannn
Answer:
B
Step-by-step explanation:
Answer:
a. 1 and 1/4.
Step-by-step explanation:
I simplified it.
Please mark me brainliest!
ill give brainlyest to whoever gets this question right
Answer:
C
Step-by-step explanation:
430 feet above sea level
Answer:
C. 430 feet above sea level
Which angles are supplementary angles?
Answer:
∠HGD and ∠FGD
Step-by-step explanation:
supplementary means they add up to 180 (straight line)
Answer:
D) Angle DGH and Angle FGD
Step-by-step explanation:
We observe that Angle DGH and Angle FGD form a linear pair and hence, are supplementary.
mia uses triangle A and says the slope of this line is 6/4.Elena use triangle B and say no,the slope is 1.5
Incomplete question.
What is the equation of the line?
Answer:
I believe it should be the second answer
x+y=12
-x=-y-10
HELP thanks
do you have a picture or problem sentance that goes with that
so if fingernails grow about 0.1 millimeters each day how much do nails grow in 30 days?
Answer:
3.47 mm
Step-by-step explanation:
Factor 10z + 45.
i need help!
Answer:
5(2z +9)
Step-by-step explanation:
factor out 5 of 10z +45
Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
GIVING BRAINLEST TO THE PERSON WHO ANSWERS IT FIRST AND CORRECT!!
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 2.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Answer:
read below explanation
Step-by-step explanation:
KEY= C;CAROL T;TINO B;BAXTER
inches: C=90 T=90 B=90
Feet: C=7.5 T=7.5 B=7.5
Yards C=2.5 T=2.5 B=2.5
I need help solving the following question...
Answer: -10, 2
Step-by-step explanation:
To find the next two numbers, we first need to determine the pattern. We can see that the next number is the result of the previous number divided by -5. This tells us we need to divide 50 by -5 and that solution by -5 also.
50÷(-5)=-10
-10÷(-5)=2
Now, we know the next two numbers are -10 and 2.
Answer:
-10 and 2
Step-by-step explanation:
To find the next two numbers, you have to find what operation is being applied to the given numbers. If we look at the numbers, we can see that the absolute value is getting smaller, which means they are decreasing. However, they are decreasing at an even rate, meaning that the numbers are being divided rather than subtracted. So, let's find what number 1250 was divided by to equal -250:
1250/x = -250
Multiply both sides by x to isolate it:
1250 = -250x
Divide both sides by -250 to isolate x:
-5 = x
Each number in the pattern is divided by -5 to find the next number in the pattern. Now that we know this, we can find the next two numbers:
50/-5 = -10
-10 is one of the numbers.
-10/-5 = 2
2 is the other number.
Hope this helps :)
what is the area of the rectangle
Answer:
54
Step-by-step explanation:
Width times height equals area so 9x6=54
Which table represents y as. Function of x?
whats the answer 1 2 3
Answer:
600
610
You would round it to 600
Explanation:
Since 602 doesn't pass the five, it goes down to 600
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Put your answer in fully reduced form.
Answer: I’m sure the answer is
Y=5/4x-1
Step-by-step explanation:
Mr. Duncan earns 75$ a day plus 35$ for each car he sells. if c is his total earnings and x is the number of cars he sold, what is the equation
Answer: c= 35x + 75
Step-by-step explanation:
If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.
Answer:
c = 35x + 75Step-by-step explanation:
Daily pay = $75Commission for each car = $35Total earnings for x cars sold:
c = 35x + 75help find missing segment??
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Let x as the missing segment.
_________________________________
According to the Thales theorem :
[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]
[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]
[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]
Inverse both sides
[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]
[tex] \frac{x}{26} = 3 \\ [/tex]
Multiply sides by 26
[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]
[tex]x = 26 \times 3[/tex]
[tex]x = 78[/tex]
Thus the missing segment has a measure of 78 .
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A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day
Answer:
The answer is 127.6
Step-by-step explanation:
To find the volume of something, you multiply.
So:5.5 times 3.2 times 7.25 is equal to 127.6
HOPE THIS HELPS YOU!!!! :)
Answer:
127.60 square inches
Step-by-step explanation:
Multiply the diameters all together to get your answers.
5.5 x 3.2 x 7.25
Multiply
5.5 x 3.2 = 17.6
Multiply some more
17.6 x 7.25 = 127.6
You can also just multiply like this:
5.5 x 3.2 x 7.25 = 127.6
Hope this helped :)
Please consider Brainliest :)
need help i will mark brainliest
Answer:
sorry all I know is "C" is 30
Step-by-step explanation:
Answer:
t=15 k=320 p=30 j=39 r=22
3x– 12 = 24 is equivalent to x- 4= 8
Which property of equality did I use to change 3x - 12 = 24?
Addition Property
Division Property
Subtract Property
Multiplication Property
Answer: division property
Step-by-step explanation:
i think hope this helps :)
PLEASE HELP!!!
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
its c bro
Step-by-step explanation:
Which statements must be true regarding the two
triangles? Check all that apply.
O ZM= ZM"
O ALMN – AL"M"N"
ALMN = AL"M"N"
The coordinates of vertex L" are (-3, 1.5).
The coordinates of vertex N" are (3,-1.5).
The coordinates of vertex M" are (1.5, -1.5).
Answer:
b
Step-by-step explanation:
its pretty simple if you look at it riggt
Please help me with this
Answer:
ghAnnabelle was right, she gave the dog more than enough
Step-by-step explanation:
Fatima has a car detailing service. She charges $15.00 for a vacuum,
$40.00 for exterior wash and wax, and $60.00 for complete interior clean
including shampooing all upholstery. last week she had a busy week. She
had 7 vacuum jobs, 23 exterior wash and wax jobs, and 15 complete
interior cleans jobs. How much did she make all together for vacuuming
jobs?
A.15
B. 105
C. 50
D. 85
Answer:
1
Step-by-step explanation:
Answer is B
B. 105
Hope this helps
I’ll mark u as brainlist if u get this right!!
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
Calculate the value of x
Answer:
12x=180 -30
x= 150/12
x= 12.5°
Answer:
x = 12.5
Step-by-step explanation:
The 3 angles lie on a straight line and so sum to 180°, that is
x + 10 + 10x + x + 20 = 180, simplify
12x + 30 = 180 ( subtract 30 from both sides )
12x = 150 ( divide both sides by 12 )
x = 12.5