Answer:
[tex]a_{7}[/tex] = [tex]\frac{3}{32}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a. [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 6 and r = [tex]\frac{1}{2}[/tex] , thus
a₇ = 6 × [tex](\frac{1}{2}) ^{6}[/tex] = 6 × [tex]\frac{1}{64}[/tex] = [tex]\frac{6}{64}[/tex] = [tex]\frac{3}{32}[/tex]
Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same
Answer:
h = 1.38 cm
Step-by-step explanation:
The question is at what value is the height of both cylinders the same:
The area of the circular base on each cylinder is:
[tex]Area=\pi r^2\\A=4\pi \ cm^2\\B=25\pi \ cm^2[/tex]
The initial volume in cylinder A is:
[tex]V=4\pi *10\\V=40\pi\ cm^3[/tex]
We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:
[tex]h_A=\frac{V_a}{4\pi}\\h_B=\frac{V_b}{25\pi}[/tex]
If both heights are the same:
[tex]\frac{V_a}{4\pi}=\frac{V_b}{25\pi}\\V_b=\frac{25}{4}V_a \\V_a+V_b=40\pi\\V_a+\frac{25}{4}V_a=40\pi\\V_a=5.5172\pi\ cm^3[/tex]
The height 'h' is:
[tex]h=\frac{5.5172\pi}{4\pi}\\ h=1.38\ cm[/tex]
Which property can be used to solve the equation? StartFraction d Over 10 EndFraction = 12 addition property of equality subtraction property of equality multiplication property of equality division property of equality
Answer:
multiplication property of equalityStep-by-step explanation:
Given the equation d/10 = 12. To get the value of d, the follwoing steps can be used to solve for the value of d;
Multiply both sides by 10
d/10 * 10 = 12*10
d = 120
It can be seen from the calculation above that multiplication operation was used to get the solution to the equation. It can therefore be concluded that the multiplication property of equality was used to solve the equation.
Please answer this in two minutes now
Answer:
the slope is zero so,it dont have mx value in equn it just have c value.
Find M<1 A) 84 B) 90 C) 44 D) 168
Answer:
m∠1 = 90°
Step-by-step explanation:
Since the line is tangent to the circle, it creates a perpendicular bisector with the diameter. That means that the m∠1 has to be 90°
What is 220% of 400? A. 88 B. 880 C. 8,800 D. 88,000
Answer:
The correct answer is B. 880
Step-by-step explanation:
220%=2.2
2.2(400)=880
Answer:
B. 880
Step-by-step explanation:
220% × 400
= 220/100 × 400
= 88000/100
= 880
PLEASE HELP, AND PLAESE EXPLAIN!!!
Answer:
D. 22.5 sq. un.
Step-by-step explanation:
W divides BU so that there is a ratio of 1;2 meaning that there are 3 parts.
That means that 3 parts is BUV; we know that one of those parts is 4.5 sq. un. so 4.5*3=13.5 sq. un. - Also 4.5*2=9 to get WUV
V is the midpoint of the line BS so that means that BUV and UVS are equal
we know that BUV is 13.5 so we multiply that by 2 to get the whole triangle
=27
The last step is to get rid of BVW which we know is 4.5
27-4.5=22.5
Please answer this question now in two minutes
Answer:
(5, -3)
Step-by-step explanation:
(-16+x)/2 = -5.5 => x=5
(4+y)/2 = 0.5 => y=-3
Mention
rational numbers which are
less than 5
Answer:
Here are some rational numbers less than 5:
4, 4.2, -3, 0, 1/10, -5/16
A rational number is a number than can be written as a fraction of integers.
Answer:
rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c
What is the value of x in the equation 3x – 1/9 = 18, when y = 27?
Answer:
Here you go mate!
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
3x - 1/9y = 18
Put y as 27 and evaluate.
3x - 27/9 = 18
3x - 3 = 18
Add 3 on both sides.
3x = 21
Divide 3 on both sides.
x = 7
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JL=25 and JM=5, find KM.
HELP ME PLEASE!!!!!!
Answer:
KM = 15
Step-by-step explanation:
From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.
Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30
Since ΔJKL and ΔJKM are similar to each other, therefore:
[tex]\frac{JK}{JL}=\frac{JM}{JK}\\ Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15[/tex]
9a
+ 6b
Help please
Answer:
3(3a+2b)
Step-by-step explanation:
9a+6b
3 times 3a=9a
3 times 2b=6b
Answer:
3(3a+2b)
Step-by-step explanation:
9a+6b
3²•a+(2.3)b
3(3²•a/3 +2•3b/3)
3(3²-¹ •a +2b)
3(3a+2b)
Find The surface area of the pyramid
Answer:
85 ft^2
Step-by-step explanation:
Let us calculate the area of the triangles and the base.
For the triangles, we can use the area formula and get 5 • 3 which is 15. Since there are 4, we multiply it by 4 and get 60.
For the base, we have 5 • 5, which is 25. Adding it together, we get 85.
If you are stuck on how to find surface area, all you have to do is find the area of each side and add.
I hoped this helped!
Please help me I’m desperate
Answer:
The firstStep-by-step explanation:
[tex]\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7[/tex]
That means every x wich is greater than 7
simplify (3+ radical sign 2)(3- radical sign 2)
Answer:
using identity (a+b)(a-b) = a^2 -b^2
11^-5 ÷ 11^-3 please help!!!!
Answer:
Step-by-step explanation:
[tex]a^{-m}=\frac{1}{a^{m}}\\\\Therefore, \frac{1}{a^{-m}}=a^{m}[/tex]
[tex]11^{-5}[/tex] ÷ [tex]11^{-3} = 11^{-5} * 11^{3}\\\\[/tex] {[tex]a^{m}*a^{n} = a^{m+n}[/tex] }
[tex]11^{-5+3} \\\\= 11^{-2}[/tex]
Answer:
11^ -2 = 1 / 11^2 = 1/121
Step-by-step explanation:
11^-5 ÷ 11^-3
When the bases are the same, we subtract the exponents when dividing
11 ^ ( -5 - -3)
11 ^ ( -5+3)
11 ^ -2
We know that a^ -b = 1/a^b
1/ 11^2
1/121
I need help with this what is the answer
Answer:
5
Step-by-step explanation:
if u substitute the x's then u can see that it makes sense
ex. 5(1)+5 = 10 true
ex. 5(5)=5 = 30 true
hope this helps
triangle ABC has vertices A(5, 12) B(13, 13) and C (11,5). show that the triangle ABC is. scalene triangle
Answer:
AB =√( (13 - 5)² + (13-12)²) = √(8² + 1²) = √65
BC = √( (13 - 11)² + (13-5)²) = √(2² + 8²) = √68
AC =√( (11 - 5)² + (5-12)²) = √(6² + 7²) = √85
AB ≠ BC ≠ AC ∴ ABC is Scalene
Step-by-step explanation:
A scalene triangle is a triangle in which all the sides are different lengths.
In order to prove that ABC is scalene, we need to calculate the sidelengths and show them to be different.
The line between points A(x₁, y₁) and B(x₂, y₂) can be denoted AB.
the difference in x-coordinate is x₂ - x₁, and the difference in y-coordinates is y₂ - y₁.
this forms a triangle of length x₂ - x₁ and height y₂ - y₁ and the hypotenuse AB can be calculated using pythagoras' theorem:
AB = √((x₂ - x₁)² +(y₂ - y₁)²)
The triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The given three vertices of triangle ABC are A(5, 12) B(13, 13) and C (11,5).
We know that in a scalene triangle all the three sides lengths are different.
Let us find distance of AB,BC, CA
Distance=√(x₂-x₁)²+(y₂-y₁)²
A(5,12), B(13, 13)
AB=√(13-5)²+(13-12)²
=√8²+1²=√64+1=√65
B(13, 13) C (11,5).
BC=√(11-13)²+(5-13)²
=√4+64=√68
C (11,5).A(5,12),
CA=√(5-11)²+(12-5)²
=√(-6)²+(7)²
=√36+49=√85
The lengths of triangle ABC are different so the triangle is Scalene.
Hence the triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Please answer it now in two minutes
Answer:
[tex]y=\frac{-5}{2}x+1.5[/tex]
Step-by-step explanation:
Well the equation we have [tex]y-4=\frac{-5}{2}(x-2)[/tex] is in slope-point form so we have to transfer it to slope intercept look at the first image below to see how I got [tex]y=\frac{-5}{2}x+9[/tex].
So we know that line T which is parallel to line S crosses through point (-1,4)
and we know that the slope stays the same and that its the y intercept has to change so the answer is [tex]y=\frac{-5}{2}x+1.5[/tex]. Look at the image second below.
please help! find the value of each shape
Answer:
see below
Step-by-step explanation:
red triangle= 36/2= 18
orange circle= 45- 18= 27
blue square= 53- 27= 26
Step-by-step explanation:
red= 18
yellow= 27
blue= 26
What is the volume of the cone with a diameter of 4ft and height 4ft round to the nearest cubic foot
Answer:
67
Step - Step - Explanation
A preimage (2,-3) is translated to (3,2). What type of transformation has occured?
Answer:
Reflection.
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
The reflection of the point (x,y) across the line y = x is the point (y, x).
Given the preimage (2,-3).
Step 1: Reflect (2,-3) accross the x-axis, to obtain: (2,3) Step 2: Reflect (2,3) accross the the line y = x to obtain: (3,2)Therefore, the type of transformation that has occured is Reflection.
If a ∥ b and _____, then a ∥ c.
Answer:
b || c
Step-by-step explanation:
a can only be parallel to c is if c is parallel to either a or b as both a and b are parallel to each other. By the way || means that they are parallel lines.
(-3 2/3)^2 (thast 3 and 2 thirds btw)
Hey there! :)
Answer:
[tex]\frac{121}{9}[/tex]
Step-by-step explanation:
We can solve this by first converting -3 2/3 to an improper fraction:
[tex]-3\frac{2}{3} = \frac{-11}{3}[/tex]
Square the fraction:
[tex](\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}[/tex]
4x
10x
h = 4x
h = 10x
Step-by-step explanation:
the answer would be 40 4x 10x h = 4x
Please help!!me don’t understand
Answer:
x=45
Step-by-step explanation:
the sum of straight angle=180
2x+45+x=180
3x=180-45
3x=135
x=135/3=45
Answer:
45 degree
Step-by-step explanation:
Since it is an straight line it means all of the added angles together equal 180
2x+45+x=180
3x+45=180
3x=135
x=135/3
x=45
Pls help ima mark BRAINLIST
Answer:
G.
Step-by-step explanation:
Since the y-int is (0, 4), you know you have to have an equation that has a +4 in it. When you calculate for the slope, you should get 4/3, and so the only equation that has those 2 is G.
witch number is not a perfect square 1 25 30 36
Answer:
30
Step-by-step explanation:
It's just not a perfect square.
Answer:
30
Step-by-step explanation:
Perfect squares are numbers that can be expressed by another numbers times itself. The only number that is not a perfect square in this list is 30.
please help ! Find all the missing angel measures in angel 1,4,7,10,13 the picture is attached above please help !! It’s for geometry (:
Answer: ∠1 = 52°, ∠4 = 40°, ∠7 = 100°, ∠10 = 49°, ∠13 = 65°
Step-by-step explanation:
There are three formulas you need to find the angles. Each formula is based on where the vertex lies.
On the circle: Measure of the angle = (1/2) the arc (Images 1-3)
∠4 = (1/2)°80 ∠10 = (1/2)(18° + 80°) ∠13 = (1/2)130°
= 40° = (1/2)98° = 65°
= 49°
Inside the circle: (1/2) Sum of the Big arc and Little Arc (Image 4)
∠7 = (1/2) (130° + 70°)
= (1/2)200°
= 100°
Outside the circle: (1/2) Difference of Big arc and Little Arc (Image 5)
∠1 = (1/2)[(62° + 130°) - (70° + 18°)]
= (1/2) (192° - 88°)
= (1/2)104°
= 52°
I can only add 5 attachments. If you want to see image 6 (which contains the measures for all of the angles), you will need to ask the question again. Sorry!
What is the simplified form of x plus 2 over x squared minus 3x minus 10⋅ x minus 3 over x squared plus x minus 12 ? (6 points) Select one: a. 1 over the quantity x minus 3 times the quantity x plus 4 b. 1 over the quantity x minus 3 times the quantity x plus 2 c. 1 over the quantity x plus 4 times the quantity x minus 5 d. 1 over the quantity x plus 2 times the quantity x minus 5
Answer:
x+2
Step-by-step explanation:
write the problem out and then understand
this is the question click it
Answer:
C.
Step-by-step explanation:
5/8 = 20/32
20/32 ÷ 2 = 10/16
10/16 ÷ 2 = 5/8
Answer:
C
Step-by-step explanation:
You can see that both of the numbers are being multiplied by 4/4 which gives you a proportional relationship unlike the other answers there.