Answer:
Step-by-step explanation:
89x = 89 * x
16x = 2 * 2 * 2 * 2 * x
-30x = -1 * 2 * 5 * 3 * x
x is the only factor that is common in all three.
GCF = x
Find the volume of this object.
Use 3 for it.
Volume of a Cylinder
V= Tr2h
Volume of a Cone
V= Tr?
3
8 in
4 in
13 in
V~ [?]in3
We are required to find the volume of the object which comprises of a cylinder and a cone
The volume of the object is 108 in³
Volume of a cylinder = πr²h
π = 3
r = diameter / 2 = 4 in / 2 = 2 in
h = 8 in
Volume of a cylinder = πr²h
= 3 × (2 in)² × 8 in
= 3 × 4 in² × 8 in
= 96 in³
Volume of a cone = πr²h/3
= (3 × (2 in)² × 3 in) / 3
= (3 × 4 in² × 3 in) / 3
= 36 in³ / 3
= 12 in³
The volume of the object can be found by adding the volume of the cylinder and the volume of the cone
Total volume = Volume of a cylinder + Volume of a cone
= 96 in³ + 12 in³
= 108 in³
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at 1 pm, you start out on your bike at 12 mph to meet a friend who lives 8 miles away. at the same time, the friend starts walking toward you at 4 mph. at what time will you meet your friend?
Answer: 1:30 PM
It takes 30 minutes
==========================================================
Explanation:
x = number of hours traveled
We'll use the equation
distance = rate*time
You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.
16x = 8
x = 8/16
x = 1/2
x = 0.5
Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.
If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.
------------------
Extra info:
You travel 12x = 12*0.5 = 6 miles
Your friend travels 4x = 4*0.5 = 2 miles
Total distance = you+friend = 6+2 = 8 miles
This helps confirm the answer.
e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP
Answer:
x = .5
Step-by-step explanation:
Since we have a right triangle, we can use trig functions
tan theta = opp / adj
tan 63 = 1/x
x tan 63 = 1
x = 1/ tan 63
x=0.50952
Rounding to the nearest tenth
x = .5
4 − 3
2
∗ 0.6 + (2
5
− 3.2 + 8.1) =
Answer:
4.9...Maybe???
Step-by-step explanation:
just writing this to post my answer
please help me! asap!
Answer:
First option
Remove 2 tiles
Please help explanation if possible
Answer:
Step-by-step explanation:
The equation for the direct variation is, for us (using f and m instead of y and x):
f = km, where k is the constant of proportionality. We need to solve for this first using the first set of given values:
-19 = k(14) so
[tex]k=-\frac{19}{14}[/tex] Now plug that in with second set of givens, namely to find f when m is 2:
[tex]f=(-\frac{19}{14})(2)[/tex] and
[tex]f=-\frac{19}{7}[/tex]
ground of the following nearest tens and Place a 7639. b_4325671
Answer:
a)7640
b)4325670
Step-by-step explanation:
when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..
I hope this helps
30 POINTS! PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Transformation
Options for center of dilation is located -->
At the center of the smaller circle, or at the center of the larger circle, or at at the top of the larger circle, or to the right of both circles, or to the left of both circles.
I WILL REPORT SCAMS.
The scale factor of the dilation is 0.78
The centre of dilation is located at (0,0)
The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.
According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:
[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]
Hence the scale factor of the dilation is 0.78
The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
The center of dilation is a point to the right of both circles.
From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:
[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)
Where:
[tex]r_{1}[/tex] - Radius of the original circle.
[tex]r_{2}[/tex] - Radius of the dilated circle.
If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:
[tex]f = \frac{7}{9}[/tex].
The scale factor of the dilation is [tex]\frac{7}{9}[/tex].
There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)
In a nutshell, the center of dilation is a point to the right of both circles.
Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.
Answer:
Speed = 2 7/81 feet per second
Step-by-step explanation:
Distance travelled = 13/18 feet
Time taken = 9/26 seconds
Find the speed of Jayden in feet per second.
Speed = Distance travelled / Time taken
= 13/18 ÷ 9/26
= 13/18 × 26/9
= (13 * 26) / (18 * 9)
= 338 / 162
= 2 14/162
= 2 7/81 feet per second
Speed = 2 7/81 feet per second
Jayden speed is 2 7/81 feet per second
find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
the sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
Answer:
r = 100
6.5r = 650
Step-by-step explanation:
let r be resistors.
6.5r + r = 750
Simplify:
6.5r + r = 750
7.5r = 750
------ ------
7.5 7.5
r = 100
100 × 6.5 = 650
One resistor is 100 ohms, and he other is 650 ohms.
Hope this helped.
The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
S O L U T I O N :According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size
Let us assume the other resistor's size be x
Here,
The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x
Given that : the sum of two resistors in 750 ohms
1st Resistor + 2nd Resistor = 750 ohms 6.5x + x = 750 ohms7.5x = 750 ohms x = 750/7.5 ohms x = 100 ohmsFINDING SIZE :
First Resistor's Size = 6.5x = 6.5*100 = 650 ohms
Other Resistor's Size = x = 100 ohms
_________________________________[Note : Symbol of ohm is Ω]
Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.
For which of the following sample sizes will the sampling distribution be approximately normal?
Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/
A) 25
B) 50
C) 75
Answer:
B. 50
Step-by-step explanation:
Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.
A= 12b1+b2h ; solve for b1
Answer:
b1 = 0, b2 = 0
EXPLICACION
A = 12 b1 + b2 h
A - 12 b1 - b2 h = 0
b2!=0, h = -(12 b1)/b2
What are the amplitude, period, phase shift, and midline of f(x) = 7 cos(2x + π) − 3? (6 points) Amplitude = −3; period: π; phase shift: x = negative pi over 2 ; midline: y = 3 Amplitude: 7; period: π; phase shift: x = negative pi over 2 ; midline: y = −3 Amplitude: 7; period: 2π; phase shift: x = pi over 2 ; midline: y = 3 Amplitude: −3; period: 2π; phase shift: x = pi over 2 ; midline: y = −3
Answer:
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3
Step-by-step explanation:
A trigonometric function is the same as
[tex]f(x) = a \cos(b(x + c)) - d[/tex]
Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.
Given the function
[tex]7 \cos(2x + \pi) - 3[/tex]
The amplitude is 7, and the midline is -3. The period is
[tex] \frac{2\pi}{2} = \pi[/tex]
The phase shift is
[tex]2x + \pi = 0[/tex]
[tex]2x = - \pi[/tex]
[tex]x = - \frac{\pi}{2} [/tex]
So the amplitude is 7
The period is pi
The phase shift is negative pi/2
The midline is -3.
name the property that the following statement illustrates 84+8=8+84
Answer:
the commutative property of addition :)
HELPPPPPPPP!!!!!!!!!!!!!!!!!
Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
find the lenght of the missing side:
Answer:
x=15.73292
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 70 = x / 46
46 cos 70 =x
x=15.73292
Answer:
15.73
Step-by-step explanation:
cos(x) = adjacent leg / hypotenuse
cos(70) = x / 46
0.342 = x / 46
0.342 x 46 = x
x = 15.73
Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How many friends does he have?
Answer:
kyrin had 16 friends
Step-by-step explanation:
40 - 2 (x) = 8 make x as friends
- 2x = 8 - 40
- 2x/ - 2 = - 32/ -2
x = 16
Which
graph shows a dilation?
Answer:
There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer
Answer:
here you go!!
Hope it helps
Pls mark me a brainliest
Step-by-step explanation:
whats a common denominator for 3/5 and 3/8
Answer:
40
Step-by-step explanation:
Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,
L.C.F. = 1×5×8 = 40, so common denominator = 40
The drama club sells sweatshirts for $9 dollars each to raise money for their club.
Answer the questions below .
Answer:
m=9n
Step-by-step explanation:
Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27
The equation for the total money raised will be m = 9n.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.
From the table:-
The number of Sweatshirts Money raised
1 9
3 27
4 36
The equation will be written as:-
m = 9n
m = 9 x 1 = 9
m = 9 x 3 = 27
m = 9 x 4 = 36
Therefore, the equation for the total money raised will be m = 9n.
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An item is regularly priced at $95. It is on sale for 85% off the regular price.
Answer:
14.25
Step-by-step explanation:
95*0.85=80.75
95-80.75=14.25
Answer:
The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.
PRACTICE
List the factors of each number.
1. 16,
2. 39
3. 50
for each pair of numbers.
Answer:
1. 1 & 16, 2 & 8, 4 & 4
2. 1 & 39, 3 & 13
3. 1 & 50, 2 & 25, 5 & 10
Find the range of the function f(x)=-4x-8 for the domain {0,1,2}
Answer:
Since this function is definable for all real values of x,
Domain(f(x)) = R = (-∞,∞)
Step-by-step explanation:
Now,
Let 4x-8=y
4x = y+8
x = (y+8)/4
Since x is definable for all real values of y,
Range(f(x)) = R = (-∞,∞)
what is 6,010,499,999
Answer:
A fraction that is equivalent to
8
3
is
16
6
.
Explanation:
To determine a fraction that is equivalent to
8
3
, multiply by a fraction equivalent to 1
A fraction equivalent to 1 is a fraction such as
2
2
and
3
3
. Multiplying by these is the same as multiplying by 1, so the ratio does not change.
One example is to multiply
8
3
by
2
2
.
8
3
×
2
2
=
16
6
8
3
and
16
6
have the same ratio, 3:8.
If you divide each numerator by each denominator, the result will also be the same.
3÷8=0.375
6÷16=0.375
You can do this with any equivalent fraction, even
100
100
and higher!
Other equivalent fractions to
8
3
are:
24
9
,
32
12
,
64
24
,
160
60
,
168
63
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
simultaneous equation
Answer:
(55/38,-16/19)
Step-by-step explanation:
4x -5y = 10
2x + 7y = -3
4x -5y = 10
-4x -14y = 6
-19y = 16
y = -16/19
2x -112/19 = -57/19
x = 55/38
If mn, solve for x.
(3x + 9) (x + 21)
2
3x. + 63x + 9x + 189
Step-by-step explanation:
Use distributive law, in other words multiply the first bracket terms by the second bracket terms
<6 and <7 can be classified as?
a. vertical angles
b. alternate interior angles
c. same side interior angles
d. alternate exterior angles
Answer:
A. vertical angles
Vertical angles are supplementary angles when the lines intersect perpendicularly
