Answer:
The correct options for the possible lengths of the third side are;
13 inches
28 inches
Step-by-step explanation:
The given lengths of two sides of the triangle are;
The length of one side of the triangle = 1 foot = 12 inches
The length of the other side of the triangle = 20 inches
The question can be solved by the triangle inequality theorem as follows;
A + B > C
B + C > A
A + C > B
Let the given sides be A = 12 inches and B = 20 inches
We have;
12 + 20 = 32 > C
Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches
Similarly, when C = 6 inches, we have;
A + C = 12 + 6 = 18 < B = 20
Therefore, the third side cannot be 6 inches
when C = 13 inches, we have;
A + C = 12 + 13 = 25 > B = 20
Therefore, the third side can be 13 inches
when C = 28 inches, we have;
A + C = 12 + 28 = 30 > B = 20
Therefore, the third side can be 28 inches
Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
The Triangle Inequality Theorem
The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.
Given the measures,
1 ft = 12 iches20 inchesThe possible third side must make the three set of numbers conform to the triangle inequality theorem.
Thus, for 13 inches, we have:
13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12
Also, for 28 inches, we have:
28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12
Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
Learn more about triangle inequality theorem on:
https://brainly.com/question/26037134
A rectangular prism has a length of 2 inches, a width of 4 1/6 inches and a height of 6 inches. What is the volume of the figure?
Answer:
K
Step-by-step explanation:
Write an inequality to represent each sentence.
1. A number cis at least 12.
Answer:
n ≤ 12
Step-by-step explanation:
The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.
I hope this helps you :D
What is the value of y=10x+2 when x=4
Answer:
y = 42
Step-by-step explanation:
Given
y = 10x + 2 ← substitute x = 4
y = 10(4) + 2 = 40 + 2 = 42
Answer:
=42
Step-by-step explanation:
y=10(4)+2
10 x 4 = 40
40 + 2 = 42
y=42
what are the factors to 424,380
Answer:
the factors are: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.
Step-by-step explanation:
please help asap also brainly
What Percent of 25 is 10 ?
Answer:
40
Step-by-step explanation:
Answer:
40% (see below)
Step-by-step explanation:
First, make a ratio to simplify your situation:
Think about it like this:
If 25 is 100%, and the question is asking me for 10, which is x%, then what is x%?
Here's what I'm talking about:
10 x%
------ = --------
25 100%
Now, just cross multiply and simplify:
1000 = 25x
40 = x
x = 40
To check your answer, you can multiply 25 by 0.4 (the decimal form of 40%) to see if it worked because 40% of 25 is 10:
25 (0.4)
10
evaluate the expression 2x+6 if x = 4
please help me on this will give you brainliedt
Answer:
x = 38
Step-by-step explanation:
Exterior Angle Theorem
x + 99 = 137
subtract 99 from both sides and...
x = 38!
Answer:
137-99 would equal the missing angel which is 38°
Please help i am very confused
Answer:
[tex]\sqrt{80}[/tex]
80 is the number in the square root
Step-by-step explanation:
[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]
A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.
What is the value of y when the value of x is 1?
Free 50 pts its [60]
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?
Given:
Principal= $6000
Rate of interest = 2.1% compounded quarterly.
To find:
The balance after one year.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
We have, P=6000, r=0.021, n=4 and t=1.
Putting these values in the above formula, we get
[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]
[tex]A=6000\left(1+0.00525\right)^{4}[/tex]
[tex]A=6000\left(1.00525\right)^{4}[/tex]
[tex]A=6126.9957[/tex]
[tex]A\approx 6126.996[/tex]
Therefore, the balance after one year is $6126.996.
Answer:
C. $7,800
Step-by-step explanation:
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
Answer if correct 70 points Brainly
Answer:
I am not very sure, but I think the answer is
D.
Answer:
answer is d becuase i took the test and got it right
Step-by-step explanation:
the link is visable tho
how do you find valume in a square.
Answer:
Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.
Step-by-step explanation:
lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball
Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
Answer What is the value of p in the linear equation
−4
−2
2
4
Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the follow expression, c represents the original cost of the coffee pot. C- 0.2c
Which other expression could kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C. 1.8c
D. 80c
At a given high school, the probability that a student is taking a geometry class is 0.24. The probability that a student is taking a chemistry
class and a geometry class is 0.18.
If a student is taking a geometry class, what is the probability that the student is also taking a chemistry class?
Answer:
0.24
Step-by-step explanation:
Help help help help help
Answer:
The equation of the line is:
y = 3xStep-by-step explanation:
Given the table
x y
0 0
1 3
2 6
3 9
4 12
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking the two points from the table
(1, 3)(2, 6)Determining the slope between (1, 3) and (2, 6)
(x₁, y₁) = (1, 3)
(x₂, y₂) = (2, 6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 3] / [2 - 1]
= 3 / 1
= 3
Thus, the slope of the line = m = 3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 0
Thus, the y-intercept b = 0
now substituting m = 3 and b = 0 in the slope-intercept form of the line equation
y = mx + b
y = 3x + 0
y = 3x
Therefore, the equation of the line is:
y = 3xThe graph of the line equation y = 3x is also attached.
Question 2
If MNP = 107, what is NMQ?
Answer:
73 degrees
Step-by-step explanation:
The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
is sold by allowing 20 % discount, what will be the profit percent?
Answer:
mp=2800
mp=cp+40%ofcp=cp+40/100×cp=1.4cp
2800=1.4çp
cp=2800/1.4=2000
discount=20%
profit%=?
Step-by-step explanation:
sp=mp-discount%of mp=2800-20/100×2800=2240
profit=sp-cp=2240-2000=240
profit%=profit/cp×100%=240/2000×100%=12%
A cone has volume 12pie cubic inches. Its height is 4 inches. What is its radius?
A.) 6 inches
B.) 4 inches
C.) 12 inches
D.) 3 inches
Answer:
r = 3
Step-by-step explanation:
The formula of a volume of a cone
V= 1/3 pie r^2 H
r - radius
H - height
We have V = 12π in³ and H = 4 in. Substitute:
The radius of the cone is 3 inches
Volume of a conev = 1 / 3 πr²hwhere
h = height
r = radius
Therefore,
v = 12π
h = 4
12π = 1 / 3 × π × r² × 4
12 = 4 /3 r²
36 = 4r²
r² = 36 / 4
r = √9
r = 3 inches
learn more on cone here:https://brainly.com/question/9837241
2.72603 in two decimal place
mrs moore is doing laundry and has various pieces of clothing in her laundry basket. what is the probability of selecting a top rather than a bottom ( 3 pants and 1 top)
I will give you 15 points
Answer: A, D
Step-by-step explanation:
What is the best estimate of the area of the figure in square inches?
Answer:
100.26 squared inches
Step-by-step explanation:
(πr²)/2 + lb + (bh)/2
= 28.26 + 60 + 12
What is the value of s? Please show work
Answer:
S = 15
That the answer :) .
Answer:
s=90°
Step-by-step explanation:
a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°
s=90°
hope this helps
find the scale factor
Answer:
2 is ur answer.
hope it helps you.
Find 3 ratios that are equivalent to the given ratio.
12:14
Given f(x) = 2x2 - 4, what is f(3)
Answer:
x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
just plug in 3 for x
2*3^2-4 = 18-4 = 14