Answer:
Common ratio = -8
Step-by-step explanation:
The common ratio of the geometric sequence will be - 8.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The geometric sequence is,
⇒ 3/8, -3, 24, - 192,
Now,
Since, The geometric sequence is,
⇒ 3/8, -3, 24, - 192,
Hence, The common ratio = Second term ÷ First term
= - 3 ÷ 3/8
= - 3 × 8/3
= - 8
Thus, The value of common ratio = - 8
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A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x?
Given:
Given that the polygon has 4 sides with its exterior angles.
The exterior angles are 140°, 34°, 56° and x°
We need to determine the value of x.
Value of x:
We know that, the exterior angles of a polygon add up to 360°
Thus, we have;
[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]
Adding the terms, we have;
[tex]230^{\circ}+x=360^{\circ}[/tex]
Subtracting both sides of the equation by 230, we get;
[tex]x=130^{\circ}[/tex]
Thus, the value of x is 130°
Final answer:
The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.
Explanation:
The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.
First, we add the given angles:
140 degrees + 34 degrees + 56 degrees = 230 degrees
Next, we subtract the total from 360 degrees to get the value of x:
360 degrees - 230 degrees = 130 degrees
Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.
Find the surface area of the triangular prism (above) using its net (below).
Answer:
96 square units
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The length of the large rectangle is: 5 The width of the large rectangle is: 7=> Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7The width of the middle rectangle is: 4=> Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7The width of the small rectangle is: 3=> Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* [tex]\frac{1}{2}bh[/tex] [tex]= 4*3 =12[/tex]
Total surface area = 35 + 28 + 21 + 12 = 96 square units
Answer:
It is 136
Step-by-step explanation:
What is the Vertex? y = 3x ^2 + 12x − 10
Answer: -2,-22
Step-by-step explanation:
Variable expression:
Four times the result of 3 times a number subtracted from 2.
Answer:
8-12n
Step-by-step explanation:
We can name "a number," "n."
4(2-3n)
Distribute.
4*2=8
4*-3n=-12n
8-12n
A scenic overlook which extends over a ravine is shaped like a kite.
Find M
A) 105°
B) 102°
C) 51°
D) 204°
Answer:
b
Step-by-step explanation:
i did jajajajajajaja jajajajjaja
the measure of angle X is [tex]\( 104^\circ \).[/tex]
To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:
Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]
Identify the two angles that are equal in the kite, which are angles X and Z.
Write the equation representing the sum of these angles and the given angle measures.
Solve for the measure of angle X.
Now, let's perform the calculation:
Equation representing the sum of the measures of all the angles in the kite:
[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]
Identify the two equal angles:
Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]
Write the equation representing the sum of these angles and the given angle measures:
[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]
Solve for the measure of angle X:
[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]
So, the measure of angle X is [tex]\( 104^\circ \).[/tex]
The complete question is:
A scenic overlook which extends over a ravine is shaped like a kite.
Find mZX
A) 105°
B) 102°
C) 51°
D) 204°
Rectangle ABCD has four right angles.
1. What is the sum of its angle measures?
Answer:
Step-by-step explanation:
Step 1: 1 angle 90
4 angle -> 360
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?
Answer:
120 pens and 200 pencils
Step-by-step explanation:
Let the number of pencils bought be x while pens will be y.
Cost
Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y
The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x
Total cost is $220 hence expressed as
0.5x+y=220
Quantity
Since the number of pencils, x were more than number of pens, y by 80 pieces then
x=80+y
Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence
0.5(80+y)+y=220
40+0.5y+y=220
1.5y+40=220
1.5y=220-40=180
y=180/1.5=120
Since x=y+80 and y is found to be 120 then
x=120+80=200
what two fractions are between 6/9 and 7/9
I need help guys I don’t understand this
Answer:
3:2 Three boxes next to two boxes.
Step-by-step explanation:
A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.
The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
Which of the following best describes the motion of the car shown?
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Step-by-step explanation:
Distance changes over the first hour of travel, but then doesn't change for one hour, and then it continues on for the next three hours
Answer:
ITS THE FIRST ONE
Step-by-step explanation:
Which expression is equivalent to 81 Superscript one-third?
Answer:
A. on edge
Step-by-step explanation:
Answer:
A) 3[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
Hope this help, I got it right on Edge.
Help me find my answer please
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition that f = - 19 when m = 14, thus
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2, then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
2/3x = -12 how do you solve this
Solution of the equation is x = -18
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equation,
(2/3)x = -12
Multiplying with 3 on both sides,
3×(2/3)x = -12×3
2x = -36
Dividing by 2 on both sides
2x/2 = -36/2
x = -18
Hence, x = -18 is the solution of the equation.
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How long does it take a runner to run 12km if he is running at a speed of 7km/h
Answer:
about an hour and 42 minutes
Step-by-step explanation:
Time=Distance/Speed
Answer:
1.714285714285714 hours
Step-by-step explanation:
12/7
What is the probability that a person older than 35 has a hemoglobin level less
Answer:
has a hemoglobin level between 9 and 11 is 0.284.
Step-by-step explanation:
Select the correct answer.
Kendall rented a truck to move some of his household items. The figure shows the inside dimensions of the truck.
14
ft.
What is the volume of the truck?
621 1 cu.ft.
558
cu.ft
1,116
cu.ft
494 1 cu.ft.
Answer:
6211 c.u. ft.
Step-by-step explanation:
Answer:
621 11/16 cu. ft.
Step-by-step explanation:
This figure shows one way to decompose the shape.
castor collects only baseball and football cards. He has 40 baseball cards and 10 football cards. Which decimal best show the part of his entire card collection represented by his baseball cards
Answer: His baseball cards can be represented as 0.8 of the entire collection
Step-by-step explanation: Castor has 40 baseball cards and 10 football cards. Therefore his total number of cards is given as 40 + 10 which is 50.
The fraction of his cards which are baseball cards only is calculated as
Baseball cards = 40/50
Baseball cards = 4/5
Converting 4/5 to a decimal (which can equally be done with a calculator) gives you 0.8
Hence, the part of his entire card collection that can be represented by baseball cards is 0.8
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
A. 2/3 pi x 3
B. 4/3 pi x 2
C. 2 pi x 3
D. 4 pi x 3
Option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
Step-by-step explanation:
The general formula for the volume of the cone is given by,
⇒ 1/3 πx²h
where,
x is the radius of the base of cone.h is the height of the cone.It is given that,
Height of the cone is twice the radius of its base.
Therefore, the volume of the cone is represented as
⇒ Substitute h=2x in the volume of the cone volume.
⇒ 1/3 πx²(2x)
⇒ 2/3 πx³ cubic units.
Hence, option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
A is the correct answer, i just took the test
What is the y-intercept?
Answer:
The y-intercept is 0
Step-by-step explanation:
what is the value of x?
(geometry question)
Given:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
Value of t:
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
[tex]44+3t - 45=4t-29[/tex]
[tex]3t - 1=4t-29[/tex]
[tex]-t - 1=-29[/tex]
[tex]-t=-28[/tex]
[tex]t=28[/tex]
Thus, the value of t is 28.
Value of x:
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
[tex]4t-29+x-15=180[/tex]
Substituting t = 28, we get;
[tex]4(28)-29+x-15=180[/tex]
[tex]112-29+x-15=180[/tex]
[tex]x+68=180[/tex]
[tex]x=112[/tex]
Thus, the value of x is 112.
Nick cleans his room in 1 10 in a hour room for 3 minutes
This word problem doesn't make sense. Rephrase then I can solve. I believe you need units for the 110. I do not know what the 110 is.
What type of number can be written as a fraction p/q, where p and q are
integers and qis not equal to zero?
Answer:
Rational Numbers.
Step-by-step explanation:
These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.
Can anyone help me with this? I will mark you as brainliest
Answer:
6×6×6×6×6×6×6=279936
6×6×6×6×6=7776
279936÷7776= 36
36 is the answer but u could express it as: (6²)....Six squared
Step-by-step explanation:
PLEASE HELP FOR 13 POINTS AND BRAINLIEST! ;)
Answer:
No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.
i can’t figure this out!! please helppp
Answer:
The third answer
Step-by-step explanation:
(side note: You probably need to use a calculator that can calculate pi)
The formula to find the area of a circle is pi r squared.
In this case, pi times r squared is 19.63495....... continued
This is probably going to be rounded
so... 19.63
For all of the circles, this is multiplied by 4.
This is 78.52
The area of the square is 100 cm since 10 times 10 is 100
You take 100 cm and then subtract it by 78.54
Voila! now you have 21.46
What is the area of the SHADED sector of the circle?
Answer:
565.2 units²
Step-by-step explanation:
(162/360) × pi × r²
(162/360) × 3.15 × 20²
565.2
How many degrees are in the period of y = cos (3x)
Answer:
Step-by-step explanation:
cos(3x)=cos (3x+2π)=cos (3x+360)
period for 3x=360°
period=360/3=120°
Final answer:
The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.
Explanation:
The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.
To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:
Standard period of cos(x) = 2πPeriod of cos(3x) = ÷ 3Calculated period = 2π / 3Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.
Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.
HHHHHHHHHHHHHEEEEEEEEEEEELLLLLLLLLLLLPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think its A
Step-by-step explanation:
Answered a question like that in my test
Answer:
A) V=2x4x5
Step-by-step explanation:
because im a helping hand
What can you tell about the mean of each
distribution?
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference.
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
inic is about 19 times the MAD. This is a large difference
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD. This is a moderate difference
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 19 times the MAD. This is a moderate difference
Answer:
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference.
Step-by-step explanation:
I GOT THIS RIGHT! THIS IS THE ANSWER
Answer:
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference
Step-by-step explanation:
i would be so greatful if someone can help me with this