Answers
Answer:
The inequality describes all possible value of x is 14 < x < 32 ⇒ D
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesIn the given figure
∵ ABC is a triangle
∵ AC = 9 and BC = 21
∵ AB is the third side of the triangle
→ By using the rules above
∴ BC - AC < AB < BC + AC
∵ AB = x - 2
→ Substitute their values in the inequality above
∵ 21 - 9 < x - 2 < 21 + 9
∴ 12 < x - 2 < 30
→ Add 2 to the 3 terms
∴ 12 + 2 < x - 2 + 2 < 30 + 2
∴ 14 < x < 32
∴ The inequality describes all possible value of x is 14 < x < 32
Related Questions
4-3y+(-7y)+6.9=
Fast PLZ!
Answers
7y + -4 = 3y + 6
Reorder the terms:
-4 + 7y = 3y + 6
Reorder the terms:
-4 + 7y = 6 + 3y
Solving
-4 + 7y = 6 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-4 + 7y + -3y = 6 + 3y + -3y
Combine like terms: 7y + -3y = 4y
-4 + 4y = 6 + 3y + -3y
Combine like terms: 3y + -3y = 0
-4 + 4y = 6 + 0
-4 + 4y = 6
Add '4' to each side of the equation.
-4 + 4 + 4y = 6 + 4
Combine like terms: -4 + 4 = 0
0 + 4y = 6 + 4
4y = 6 + 4
Combine like terms: 6 + 4 = 10
4y = 10
Divide each side by '4'.
y = 2.5
Simplifying
y = 2.5
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answers
Answer:
h = 14.5 ft
Step-by-step explanation:
Apply trigonometric ratio formula to find h:
reference angle = 46°
Opposite side = h
Adjacent side = 14 ft
Thus:
Tan 46 = h/14
Multiply both sides by 14
14*tan 46 = h
h = 14.4974243
h = 14.5 (nearest tenth)
If Judy uses 400 chocolate chips to make x cookies, write an expression that represents the number of chocolate chips in each cookie.
Answers
Answer:
y=[tex]\frac{400}{x}[/tex]
Step-by-step explanation:
Answer: 400/x (over x} = Y {amount on each cookie}
Step-by-step explanation:
If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?
Answers
Answer:
(-222, 296)Step-by-step explanation:
Given point
(3, -4)Dilation by a scale factor of 74:
(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)Rotation by 180°:
(x, y) → (-x, -y)(222, -296) → (-222, 296)what is 2/3 ÷ 3/4 I really need help
Answers
Answer:
8/9
Step-by-step explanation:
2/3 ÷ 3/4
2*4/(3*3)
8/9
SOMEONE PLEASE HELP!!!
Answers
What is f(-4) for the function f(x) =-3x-8
Answers
Answer:
f(-4) = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x - 8
f(-4) is x = -4
Step 2: Evaluate
Substitute in x: f(-4) = -3(-4) - 8Multiply: f(-4) = 12 - 8Subtract: f(-4) = 4Answer:
the correct answer is:
-3 × -4 -8 = 12 - 8 = 4
What is the radius of a sphere with a volume of 3026 cm ^3, to the nearest tenth of a centimeter?
Answers
Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
For more details regarding volume, visit:
https://brainly.com/question/1578538
#SPJ3
What is the equation of the line represented by the data in the table
Answers
Answer: y = -1/2x - 1
Rose went on a shopping trip to Richmond. She purchased a calculator originally priced at $100 but discounted 80%. If sales tax in Richmond is 15%, what was the total cost? $
Answers
Answer:
The total cost is [tex]\$23[/tex].
Step-by-step explanation:
Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].
To find: The total cost
Solution:
We have,
Original price of calculator[tex]=\$100[/tex]
Discount [tex]=80\%[/tex]
Sales tax [tex]=15\%[/tex]
Now, first we need to find the cost after applying the discount.
So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]
Therefore, the cost after applying the discount
[tex]=\$100-\$80=\$20[/tex]
Now, we have to find the sales tax. Therefore,
Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]
So, the total cost is [tex]\$20+\$3=\$23[/tex].
Hence, the total cost is [tex]\$23[/tex].
Answer:
$23
Step-by-step explanation:
Hope this helps
find the midpoint between the points in the graph.
Can someone please help
Answers
Answer: I would think that the midpoint is (2,3)
Step-by-step explanation: Because I have eyes
The graph of y= x^2 +4x +3 is shown
work out a and b please
Answers
Answer:
A.) i think it's (-2, -1)
B.) ?
Step-by-step explanation:
I am very sorry if they are wrong....i don't know B..sorry
Answer:
b = (-1,0) (-3,0)
Step-by-step explanation:
PLS help me
this is for class, if you get it right i will give brainliest
Answers
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
7^2+11^2=c^2
49+121=c^2
170=c^2
then square it
c=13
7,11,13 is a pythagorean triple
Answer:
both answers you have put in are correct
Step-by-step explanation:
7^2=49
11^2=121
121+49=170
square root of 170 is the long side
not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)
is it ~13.0384
Y’all know what this is ?
Answers
Answer:
65
Step-by-step explanation:
8(5) + 25 = 65
We plugged in 5 for c since we know its value.
Answer:
65
Step-by-step explanation:
8x5=40 25+40=65
I hope this helps, and have a nice day!
Expand and simplify:
4(2x + 1) + 2(2x - 1)
Answers
Answer:
12x + 2
Step-by-step explanation:
4 ( 2x + 1 ) ⇔ 8x + 4
2 ( 2x - 1 ) ⇔ 4x - 2
8x + 4 + 4x - 2 = 12x + 2
Substitute teachers with Lexington School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday, 3 non-credentialed subs and 2 credentialed subs taught in the district. That cost the district $368. Today, 11 non-credentialed subs and 7 credentialed subs taught, receiving $1,316 from the district. How much do subs get paid?
Answers
Help & explain answer pls
Answers
148 ft above ground level
Answers
Answer: What??????
Step-by-step explanation:
✨1 kai 1 poso kanei✨
Answers
Answer:
i'M bOuTA.. DOIVE
Explanation:
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answers
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answers
Answer:
Yoyo and yoyo
Step-by-step explanation:
Solve each equation after clearing fractions or decimals and check the solution:
1. 2/3x-5/6=2
2. 4/5x+1/3=2
Answers
Answer:
scCXczxczxs davefrevs rgv sdfasdfadcfa afaFAFaDF
12 cups every 5 hours. Express this rate of flow in gallons per week
Answers
Answer:
25.2 gallons per week
Step-by-step explanation:
John is putting a fence around his garden that is shaped like a half circle and a rectangle. How much fencing will John need? Use 22/7 as Pi.
32 ft
39 ft
46 ft
57 ft
Answers
Answer:
46
Step-by-step explanation:
It will help :)
Answer:
46
Step-by-step explanation:
RIGHT ON EDGE~
3 rays have common vertex. All the angles, which are made by neighbor rays( I think they mean adjacent rays), can be:
a)acute
b)obtuse
c)right
d)none of it.
btw I checked answer, but I still didn't understand, so I need explanation.
Answers
Answer:
[tex]b)\ Obtuse[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that:\\There\ are\ three\ rays.\\Lets\ mark\ them\ Ray\ OP, OQ,\ and\ OR\ with\ their\ common\ Vertex\ O.\\\\Now,\\We\ know\ that\ the\ sum\ of\ all\ angles\ around\ a\ point[or\ here\ Vertex\ O]\\ should\ be\ equal\ to\ 360.\\Here,\\\\Lets\ consider\ each\ case\ sepearately.\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ acute\ then:\\\angle POR, \angle ROQ, \angle POQ<90\\If\ we\ add\ them\ together,[/tex]
[tex]\angle POR+ \angle ROQ+ \angle POQ<90+90+90<270[/tex]
[tex]But\ here\ the\ sum\ of\ the\ angles\ are\ less\ than\ 270,\ but\ the\ sum\ should\\ instead\ be\ 360.\\Hence,\ the\ angles\ formed\ by\ the\ rays\ are\ NOT\ acute.[/tex]
[tex]Similarly,\\If\ all\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ,\ are\ right\ then:\\\angle POR, \angle ROQ, \angle POQ =90\\When\ we\ add\ them\ again:\\\angle POR+ \angle ROQ+ \angle POQ=90+90+90=270\\But\ again\ the\ sum\ here\ is\ equal\ to\ 270,\ but\ instead\ the\ sum\ had\ to\\ be\ equal\ to\ 360.\\Hence,\\The\ angles\ formed\ are\ NOT\ right.[/tex]
[tex]Lets\ consider\ the\ Last\ Case,\\If\ the\ angles\ formed: \angle POR, \angle ROQ, \angle POQ\ are\ obtuse,\\\angle POR, \angle ROQ, \angle POQ>90\\When\ we\ add\ them:\\\angle POR+ \angle ROQ+ \angle POQ>(90+90+90)>270\\Here,\\The\ angles\ formed\ are\ greater\ than\ 270.\ As\ 360>270,\ the\ angles\ ARE\\ obtuse.[/tex]
I NEED HELP REALLY BAD
Answers
Please help ASAP!!!??
Answers
Answer:
[tex]\{-2,-1,1,2,4\}[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the range of the graph
First, we list out the coordinate of each point on the graph:
The points are:
[tex]\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}[/tex]
A function has the form: (x,y)
Where
y = range:
From the coordinate points above,
[tex]y = \{-1,-2,2,1,4\}[/tex]
Order from least to greatest"
[tex]y = \{-2,-1,1,2,4\}[/tex]
Hence, the range are: [tex]\{-2,-1,1,2,4\}[/tex]
6.4n-10=4.4n+6 solve for n
Answers
Answer: n=8
Step-by-step explanation:
1. Subtract 4.4n on both sides:
2n-10=6
2. Add 10 on both sides:
2n=16
3. Divide both sides by 2:
n=8
Have a nice day :D
Benjamin and Amelia Hopkins have been married since 2016. Benjamin is a U.S. Citizen with a valid Social Security number. Amelia is a resident alien with an Individual Taxpayer Identification Number (ITIN). They elect to file Married Filing Jointly. Benjamin worked in 2020 and earned wages of $25,000. Amelia worked part-time and earned wages of $15,000. They have two children: Harper, who is 9 years old, and Evelyn, who is 12 years old. Both children were supported by their parents all year. Harper is a U.S. Citizen and has a valid Social Security number. Evelyn is a resident alien and has an ITIN. Benjamin, Amelia, Harper, and Evelyn lived together in the U.S. All year 7. Which credit(s) can the Hopkins claim on their 2020 tax return. Are the Hopkins eligible to claim the earned income credit?
Answers
Answer:
The answer is "Child tax credit for Harper and No, because Amelia has ITIN."
Step-by-step explanation:
In question 1, The answer is "Child tax credit for Harpe" each qualified kid for tax years 2018-2025 should have SSN through employment provided before the returned closing date. Harper is a U.S. national and also has a legitimate SSN, and therefore Hopkins may assert Harper's tax credit.
In question 2, The answer is "No, because Amelia has ITIN" because the IRS problem is an ITIN issue whenever a person has been unable to claim their income tax credit his or she may be not qualified to SSN.
Create your own "magic trick" that will always result in
5.
Write out the steps for the magic trick in the table. You
can add more rows as needed.
Explain why the result of your trick will always be 5.
Step 1:
Step 2: