Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Consider the salt shaker shown.
5 cm
cm
What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.
Volume of Salt Shaker =
Answer:
Volume of salt shaker = 42.4 cm³ (Approx.)
Step-by-step explanation:
Given:
Height of salt shaker = 5 cm
Diameter of salt shaker = 3 cm
Find:
Volume of salt shaker
Computation:
Radius of salt shaker = Diameter of salt shaker / 2
Radius of salt shaker = 3 / 2
Radius of salt shaker = 1.5 cm
Volume of salt shaker = Volume of cylinder + Volume of Hemisphere
Volume of salt shaker = πr²h + (2/3)πr³
Volume of salt shaker = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³
Volume of salt shaker = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)
Volume of salt shaker = 35.325 + 7.068
Volume of salt shaker = 42.4 cm³ (Approx.)
135°
Solve for <2.
62 = [?]
45°
&2
86°
Enter
Answer:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
thus our equation is
[tex] \displaystyle \angle2 + {86}^{ \circ} = {135}^{ \circ} [/tex]
cancel out 86° from both sides:
[tex] \displaystyle \angle2 = {49}^{ \circ} [/tex]
hence,
the measure of the missing angle is 49°
Answer:
Solution given'
<2+45+86=180°[sum of interior angle of a triangle]
<2=180-131
<2=49°
Plz stop deleting my questions! This is a urgent!!plz help meee!,
Answer:
B
Step-by-step explanation:
Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.
One pipe fills an empty tank in 3 hours. A second pipe fills the same tank in 6 hours. A third pipe can empty the full tank in 5 hours. If all three valves were left open, how long would it take to fill the empty tank?
A. 19 units
B. 38 units
C. 12 units
D. 22 units
Answer:
I think 12 is 5he right answer
what the the opposite of - 4.1 ?
Answer:
The opposite of -4.1 is 4.1.
opposites are the same number but either with a + sign or a - sign
EX)
7, -7
5, -5
4, -4
It was estimated that 650 people would attend bowling night, but 676 people actually attended.
What is the percent error, to the nearest percent of the estimate? Enter the answer in the box.
The estimate's percent error is 4%, to the closest percentage.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Find the difference between the estimate and the actual value:
Actual value - Estimated value = 676 - 650 = 26
The absolute value of the difference is 26, indicating that the actual value exceeded the estimated value.
Next, we need to find the relative error, which is the difference divided by the estimated value:
Relative error = Difference / Estimated value = 26 / 650
Finally, we can convert the relative error to a percentage by multiplying it by 100:
Percent error = Relative error x 100 = 26 / 650 x 100 ≈ 4
Therefore, the percent error, to the nearest percent, of the estimate is 4%.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
A) y= x^2+2x-1
Minimum or maximum
B) y=-x^2-8x-1
Minimum or maximum
C) y=2x^2+8x
Answer:
A) minimum
B) maximum
C) minimum
Step-by-step explanation:
A positive x² coefficent means the parabola opens up and the vertex is the minimum
A negative x² coefficent means the parabola opens up and the vertex is the maximum
---------------------------------
A) minimum
B) maximum
C) minimum
solve for x if 2(1+3x) =3
Answer:
x is 5
Step-by-step explanation:
solve for x 9.2, 16.5, x
Answer:
152
Step-by-step explanation:
A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?
the discount price was 29.2
step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay
The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.
Answer:
7.11
Step-by-step explanation: Area=lengthxwdth
64=lengthx9
64/9=length
7.11=length
which measurement is closest to the area of the shaded region in square inches
Find the exact value of the following, without using a calculator.
9514 1404 393
Answer:
(√17 -4√595)/102
Step-by-step explanation:
To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.
sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle
cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6
sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle
cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17
The sum of angles formula is ...
sin(α+β) = sin(α)cos(β) +cos(α)sin(β)
So, our sine is ...
[tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
Suppose $3500 is invested at a rate of 5% per year compounded monthly.
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
I need the answer pls, answer fast I am I s choool
Answer:
Hello! answer: D. 180
Step-by-step explanation:
What you do for these is find the surface area for each face separately then add them up so...
for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!
Answer:
180 in²
Step-by-step explanation:
To wrap the given box, we need to find the total surface area of the figure.
TSA of cuboid = 2 (lb + bh + hl)
= 2 { (6*8) + (8*3) + (3*6) }
= 2 ( 48 + 24 + 18 )
= 2 * 90
= 180 in²
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
the amount of gas used by a household is shown in the table. what is the slope of the data from the table
Answer. i cant answer this without a pic of the slope
Step-by-step explanation:
72% of what number is 144? Answer please
Answer:
103.68
Step-by-step explanation:
Answer:
103.68
To solve you would convert the percent to decimal form .72.
Then divide by 144
.72/144=103.68
your answer is 103.68
4. Solve the logarithmic equation for X:
log(x) -log(4) = 3
Answer:
X=7
Step-by-step explanation:
I need the answer pls fast
Answer:
B. 215cm^2
Step-by-step explanation:
180 + 35
Answer: B. 215
Step-by-step explanation:
I found the answer button.
The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answer:
D) Consistent and Independent
Answer:
D.consistent and independent
Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.
Answer:
Not correct
Step-by-step explanation:
Given:
x² - 6x - 7 = 0
The following equation can be solved correctly by factoring Thus,
x² - x + 7x - 7 = 0
x(x - 1) +7(x - 1) = 0
(x - 1)(x + 7) = 0
(x - 1) = 0
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Or
(x + 7) = 0
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
Therefore, the solution would be x = 1 or x = -7
Lateena solution is therefore NOT CORRECT because she used a wrong method.
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f