Answer:
No, this triangle is not possible
Step-by-step explanation:
By the Triangle Inequality Theorem, it should be that:
a + b > c,
a + c > b, ⇒ a, b, and c are sides of this triangle
b + c > a
~ In this case let us say a = 4 inches, b = 6 inches, and c = 11 inches ~
4 + 6 > 11,
4 + 11 > 6, ⇒ Here 10 is not greater than 3rd side and thus
11 + 6 > 4 doesn't form a triangle
Monica's family is thinking about going on a vacation. They are debating about whether
to go to Florida, Italy Mexico, or England. They are also trying to decide whether to go for
1 or 2 weeks. List the sample space (all of the possible outcomes) for their vacation
Destination
Vacation
Florida, Italy,
Mexico, England
1 week, 2 weeks
Answer:
{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}
Step-by-step explanation:
This is each location paired with one week, and each location paired with two weeks.
Answer:
c
Step-by-step explanation:
Solve for x: 4(x + 2) = 3(x − 2) PLEASE HURRY
Answer:
X= -14
Step-by-step explanation
4(x + 2) =3(x-2)
4x + 8 = 3x - 6
4x - 3x= - 8 - 6
X = - 14
Please Help!!!! ASAP!! I will mark Brainliest!!! Please awnser CORRECTLY!! No guessing.
Answer:
C
Step-by-step explanation:
f(5) means we must plug in 5 wherever we see an x in the function.
[tex]f(x) = \frac{1}{9} 3^{x}[/tex]
[tex]f(5) = \frac{1}{9} 3^{5}[/tex]
[tex]f(5) = \frac{1}{9} * 243[/tex]
[tex]f(5) = \frac{243}{9} = 27[/tex]
So f(5) = 27! The answer is C.
factorise :x^2y^2-16
Answer:
(xy - 4)(xy + 4).
Step-by-step explanation:
The is the difference of 2 squares.
a^2 - b^2 = (a - b)(a + b: so we have:
x^2y^2 - 16 = (xy - 4)(xy + 4)
Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?
Answer:
Step-by-step explanation:
43feet
If sin x= (sqrt 2)/2 and tan x=-1 what is sec x
Answer:
[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].
In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us
[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]
We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of
[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]
Solve 3.4 [ 6 ( 4) +6^2]
Please show your work! <3
Answer:
204
Step-by-step explanation:
3.4[6(4)+6^2]=
3.4[24+36]=
3.4[60]=
204
Hope this helps!
find the total surface area of a right cone with a base diameter of 10cm and a height of 12cm. give your answer in terms of pie.
Answer:
The total surface area is 90π cm²
Step-by-step explanation:
To find the total surface area of his cone, we will follow the steps below;
write the formula for finding the total surface area of a cone
Total surface area = πrl + πr²
where r is the radius and l is the slant height
from the question, diameter = 10 cm, diameter = 2r this implies that r = d/2 = 10/2 = 5 cm
Also from the question given to us, height h = 12 cm, but what we want is slant height l. We can find this by using the Pythagoras theorem to find the slant height using the height giving to us and the radius.
opposite² + adjacent² = hypotenuse²
where radius is the adjacent, height is the opposite and the slant height is the hypotenuse
5² + 12² = l²
25 + 144 = l²
169 = l²
13 = l
l= 13 cm
hence slant height =13 cm
We can now proceed to insert the values into the formula
Total surface area = πrl + πr²
= π×5×13 + π×5²
=65π + 25π
=90π cm²
The total surface area is 90π cm²
A rectangle is sometimes, always, never similar to another rectangle
Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].
Then, the two rectangles are similar if and only if
[tex]a\div c=b\div d[/tex]
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
helppppppppppppppp meeeeeee
1x1x1. That's pretty much the definition of
Answer: 1 cubic foot, last choice
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the
newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are
state quarters. Based on this sample, how many of the quarters in the full bag were likely to
be eagle quarters?
300
100
400
200?
Answer:
400
Step-by-step explanation:
The 200 quarters in the full bag were likely to be eagle quarters.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given that:-
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are thenewer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 arestate quarters. Based on this sample, how many of the quarters in the full bag were likely tobe eagle quartersWe can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-
E + S = 500
2a + 3a = 500
5a = 500
a = 100
E = 2a
E = 2 x 100 = 200
Therefore 200 quarters in the full bag were likely to be eagle quarters.
To know more about ratios follow
https://brainly.com/question/2328454
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Theresa has a rectangular pool 30 ft long, 15 ft wide, and 4 ft deep. Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water.
Nancy has a circular pool with a diameter of 24 ft and a depth of 4 ft. Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
If Theresa and Nancy both fill their pools 6 inches from the top of the pool, determine and state who paid more to fill her pool. [ 1 ft3 water = 7.48 gallons]
Answer:
Step-by-step explanation:
Both pools were filled 6 inches from the top.
12 inches = 1 feet
6 inches = 6/12 = 0.5 foot
Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is
Volume = length × width × height
Height filled is 4 - 0.5 = 3.5 feet
Volume = 30 × 15 × 3.5 = 1575 ft³
Recall, 1 cubic feet = 7.48 Us gallons
Therefore,
1800 cubic feet = 1575 × 7.48 = 11781 gallons of water
Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is
3.95 × 11781/100 = $465.35
Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is
Volume = πr²h
Diameter = 24
Radius = diameter/2 = 24/2 = 12 ft
Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes
1582.56 × 7.48 = 11837.55 gallons of water.
Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
It means that the amount she paid to fill her pool is
200 × 11837.55/6000 = $394.59
Therefore, Theresa paid more to fill her pool.
I need help with number 2 name the radii of the circle
Answer:
AO and OB
Step-by-step explanation:
The radii are radiuses and in this case you have two. They radius half of the circle and the diameter is the whole length. Hope this was helpful.
solve 25+8m =73 M=....
Answer:
25+8m=73
We move all terms to the left:
25+8m-(73)=0
We add all the numbers together, and all the variables
8m-48=0
We move all terms containing m to the left, all other terms to the right
8m=48
m=48/8
m=6
Answer:
[tex]m = 6[/tex]
Step-by-step explanation:
[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answer:
The correct answer is B.
Step by step explanation:
Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]
Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]
Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]
Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]
Hope this helps. If so, may I get brainliest and a thanks?
Thank you, Have a good day!
What is the slope of the line x= -1
plz help
who ever answers first will get brainliest
Answer:
Step-by-step explanation:
If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.
Answer:
its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1
Step-by-step explanation:
Need help ASAP. WILL MARK BRAINLIEST.
Let's do it in general first; inner radius r, outer radius R.
Little circumference is 2πr, bigger is 2πR, difference is
d = 2π(R-r)
For us R-r = 2 feet so that's
d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet
Answer: 12.6
Halla el término trigésimo de la progresión aritmética de diferencia 3 y primer término 11. Halla el término general de la progresión y la suma de los cuarenta primeros términos
Answer:
13th term = 47
General term: Tn = 11 + 3(n-1)
Sum of the first 40 terms = 2780
Question:
Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.
Step-by-step explanation:
Common difference (d)= 3
First term = a = 11
Find attached the solution of problem.
I need help preciate it
Answer: x=1
They all have 1 for their x coordinate; 'nuff said.
Which angle is coterminal to 2pi/3
the correct answer is -4π/3.
Find the height of a prism with volume 720cm3 and base area 45cm2
Answer:
The height is 16 cm
Step-by-step explanation:
It's just v/b
720/45=16
The height is 16 cm
PLEASE HELP AS SOON AS POSSIBLE!!!!!
Answer:
AT THE POINT NUMBER 2 IS INCORRECT !
Step-by-step explanation:
Arthur is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 12 1 4 inches. He needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Arthur need for his project?
Answer:
303.63 sq inches
Step-by-step explanation:
We need to find the area of the two rectangles he cuts and add them together.
The area of a rectangle is given as:
A = L * B
The first rectangle is 16 inches × 12 1/4 inches. Its area is:
A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches
The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:
A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches
The total square inches of construction paper that he needs is:
196 + 107.63 = 303.63 sq inches
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3
How many times larger is the volume of a sphere if the radius is multiplied by 5?
Answer:
Brainliest please
The Volume is 125 times bigger.
Step-by-step explanation:
V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.
If you multiply the radius by 5 the it changes to
V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]
And when you simplify you get
V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]
And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.
help me answer this <3
what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30
Correct answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$39
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30 × 10/100 × 3
I = $9
She have = 30 + 9 = $39
Replace A with a number to make A/24 ≥ 1/4 a true statement.
Answer:
B. 7
Step-by-step explanation: 6/24= 1/4 so 7/24>1/4
3x-y=8 in slope intercept form
Answer:
y=3x−8
Step-by-step explanation:
Help me pleasee for this equation
Answer:
11.3 (C)
Step-by-step explanation:
sqrt(12^2 - 4^2) =
sqrt(144 - 16) =
sqrt(128)-->
11.3 (C)
Answer:
11.3 ft
Step-by-step explanation:
We have a right triangle with the hypotenuse of 12 and a leg of 4
Using the pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 12^2
16 +b^2 = 144
Subtract 16 from each side
b^2 =144-16
b^2 =128
Taking the square root of each side
sqrt(b^2) = sqrt( 128)
b =11.3137085
