Answers
The formula to calculate the lateral area of a cone is given by
[tex]LA=pi*r*l[/tex]where
LA=10.5pi in2
r=2.1 in
l=? slant height
substitute given values
[tex]\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\ \\ l=5\text{ in} \end{gathered}[/tex]The answer is 5 inchesRelated Questions
One triangle in the diagram below can be mapped onto the other using two reflections. Identify the
lines of reflection that would map one onto the other. Can you map one triangle onto the other using
just one basic rigid motion? If so, explain.
Answers
Two reflections can be done as a rotation with a centre where the mirrors intersect.
If the mirrors are parallel then you can use a translation (slide) instead.
Find the measure of angles 1 and 2
Answers
Answer:
both angles 1 and 2 measure 135°
Step-by-step explanation:
angle 1 = angle 2 = 135°
Hope this helps
Something Is DIFFERENT about this problem..
I'm not sure what..
991 + 2 = ?
Answers
Answer: 993
Step-by-step explanation:
I BELIEVE THE ANSWER IS 993 BUT I'M NOT SURE !
It could be 10,000 i don't know but i'm pretty sure it's 993 !
Hope it helped !
3) A group of students were testing the walking capability of a newly created robot. Using the graph, what can
you interpret about point A?
Answers
Answer:
The robot walked 2 meters in 8 seconds. Time is seconds on the x-axis since it's an independent variable and distance in meters on the y-axis.
2x+3y=5x−y
Complete the missing value in the solution to the equation
( ,0)
Answers
Answer:dsafdf
Step-by-step explanation's
the points (-5,r) and (2,13) lie on a with slope 3 find the missing coordinate r
Answers
Answer:
r = - 8
Step-by-step explanation:
calculate the slope m using the slope formula , then equate to 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, r ) and (x₂, y₂ ) = (2, 13 )
m = [tex]\frac{13-r}{2-(-5)}[/tex] = [tex]\frac{13-r}{2+5}[/tex] = [tex]\frac{13-r}{7}[/tex]
then equating gives
[tex]\frac{13-r}{7}[/tex] = 3 ( multiply both sides by 7 )
13 - r = 21 ( subtract 13 from both sides )
- r = 8 ( multiply both sides by - 1 )
r = - 8
sheriff dale and sheriff john left the station at the same time in response to calls. dale drove north, john drove west, and dale drove at an average speed of 20mph faster than john. after 30 minutes, they were exactly 50 miles apart. what was john's average driving speed?
Answers
John's driving at a speed of 40 miles per hour
Given that,
Dale and John leave their home traveling in different directions on a straight road. Dale drives 20 miles per hour faster than John. After 30 minutes they are 50 miles apart.
a. Define a variable for Dale's rate: x mph
Write an expression for John's rate: x-20 mph
-------
b. Write and solve an equation to find Dale rate. Then find John's rate.
They are separating at the rate of x + x-20 = 2x-20 mph.
-------
Equation:
time*speed = distance
0.5(2x-20) = 50 miles
x-10 = 50
x = 60 miles
x = 60
----
John's rate = x-20 = 40 mph
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10. Rotate 90° clockwise about the origin.
a. J '(-3,-4), K'(-6,-4), L'(-4,-3), M'(-1, -3)
b. J'(-4,-3), K'(-4,-6), L'(-3,-4), M'(-3,-1)
c. J'(-4, 3), K'(-4, 6), L'(-3, 4), M'(-3, 1)
d. J'(4, -3), K'(4, -6), L'(3,-4), M'(3,-1)
Answers
Check the picture below.
Expand and state your answer as a polynomial in standard form. (4x³+y³)²
Answers
Answer:
16x⁶+y⁶
Step-by-step explanation:
(4x^3+y^3) (4x^3+y^3)
= 16x^6+y^6
Evaluate. Write your answer as a whole number or as a simplified fraction.
3-1.9-¹ =
Answers
Answer:
27^-1
Step-by-step explanation:
1/3 ×1/9=1/27=27^-1
Find the slope between these two points:
(-19, 12), (-9, 1)
Answers
Answer:
3.1
Step-by-step explanation:
What is an equation of the line that passes through the point (1,−7)
(1,−7) and is parallel to the line 3x+y=3
3x+y=3?
Answers
Answer:
[tex]3x + y = 3 \\ 3 = x - y \\ 3 = x[/tex]
Answer:
y = -3x - 4
Step-by-step explanation:
Pre-SolvingWe are given the equation 3x + y = 3, and we want to find an equation of the line that is parallel to 3x + y = 3.
This same line also passes through the point (1, -7).
Parallel lines have the same slopes. This means that we'll first need to find the slope of 3x + y = 3.
The equation is written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0. a is usually non-negative as well.
There is a shortcut into finding the slope when the equation is in standard form; the slope of the line is -a/b, where a is the coefficient in front of x and b is the coefficient in front of y).
The coefficient in front of x is 3, and 1 in front of y.
SolvingSubstitute 3 as a, and 1 as b in -a/b. Don't forget about the - in front of a!
-3/1 = -3
This means the slope of the line is -3.
It is also the slope of the line parallel to it.
We can write the equation of the line we are trying to solve for in standard form, too. However, we could also write it in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept.
As we are already given the slope, we can immediately plug that into the formula.
Replace m with -3.
y = -3x + b
Now we need to find b.
As the equation passes through the point (1, -7), we can use its values to help solve for b.
Substitute 1 as x and -7 as y.
-7 = -3(1) + b
Multiply.
-7 = -3 + b
Add -3 to both sides
-4 = b
Substitute -4 as b into the equation
y = -3x - 4
–
100g+79g–4g–69g+41g=–
53
Answers
Answer:–
100g+79g–4g–69g+41g=–
53
Step-by-step explanation:
What is the solution to the equation 3x-4 = 8?
x=8
x=4
x=1
x=6
Answers
B) x=4
Explanation:
=> 3x-4=8
=> 3x=8+4
=> 3x=12
=>x=12/3
=> x=4
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A is not equivalent
Step-by-step explanation:
A is .15 while all the others are .75 in some way
Answer:
0.15
Step-by-step explanation:trust me
a sample of experienced typists revealed that their mean typing speed is 95 words per minute and the median typing speed is 77 words per minute. the standard deviation of typing speed is 16.9 words per minute. what is the pearson's coefficient of skewness?
Answers
The pearson's coefficient of skewness is found as the 1.065.
What is termed as the coefficient of skewness?The coefficient of skewness is a measurement used to evaluate the strength and direction of skewness in a sample distribution using descriptive statistics such as mean, median, or mode. The skewness coefficient is used to compare a distribution of the sample to a normal distribution.Pearson skewness:
The skewness of the a data set is calculated by subtracting the mean from the median and dividing by the standard deviation.
In this case:
The mean is 95, the median is 77, as well as the standard deviation is 16.9. So,
Pearson skewness = (95 - 77)/16.9
Pearson skewness = 1.065.
Thus, the pearson's coefficient of skewness is found as the 1.065.
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Jina made $207 for 9 hours of work.
At the same rate, how much would she make for 13 hours of work?
Answers
Answer:
$299
Step-by-step explanation:
[tex](\frac{207}{9} )(13)=\frac{2691}{9}}} =299[/tex]
Hope this helps
Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus a $30 sign, 30 for each hour of work. His total fee for a 4-hour job, for instance, is $170 sign, 170.
Jabari's total fee, f for a single job is a function of the number, t, of hours it takes him to complete the job.
Answers
The initial fee that Jabari collects is $50.
What is the initial fee?It should be noted that Jabari is power washing houses for a summer job and for every job, he charges an initial fee plus a $30.
In this case, the amount collected was $170 for a four hours job. Let the initial fee be represented as x.
Therefore, this will be illustrated as:
x + (30 × 4) = 170
where x = initial fee
x + 120 = 170
Collect like terms
x = 170 - 120
x = 50
The initial fee is $50.
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Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus a $30 sign, 30 for each hour of work. His total fee for a 4-hour job, for instance, is $170 sign, 170.
Jabari's total fee, f for a single job is a function of the number, t, of hours it takes him to complete the job. What is the initial fee?
Write an equation that represents the line.
Use exact numbers.
Answers
The equation that represents the line is y = -2x -3 which passes through the points (0, -3) and (1, -5).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph:
The two points are:
(0, -3) and (1, -5)
The equation of the line:
y - (-5) = [-5 - (-3)]/[1] (x - 1)
y + 5 = -2(x - 1)
y = -2x -3
Thus, the equation that represents the line is y = -2x -3 which passes through the points (0, -3) and (1, -5).
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Which exponential function has the greatest average rate of change over the interval [0,2]
Answers
Step 1
Given;
Step 2
A) The equation of the graph will be;
[tex]\begin{gathered} y=ab^x \\ x=1,y=6 \\ 6=ab^1---(1) \\ x=0 \\ y=4 \\ 4=ab^0-----(2) \\ a=4 \\ \end{gathered}[/tex][tex]\begin{gathered} From\text{ equation 1} \\ 6=4b \\ b=\frac{6}{4}=\frac{3}{2} \\ The\text{ function is} \\ y=4(1.5)^x \end{gathered}[/tex]At the interval [0,2]
[tex]\begin{gathered} y_1=4(1.5)^0 \\ y_1=4 \\ y_2=4(1.5)^2 \\ y_2=9 \\ Average\text{ rate of change=}\frac{f(b)-f(a)}{b-a}=\frac{9-4}{2-0}=2.5 \end{gathered}[/tex]B)
[tex]\begin{gathered} 1.5=a(2)^0 \\ a=1.5 \\ y=1.5(2)^x \\ f(b)=6 \\ f(a)=1.5 \end{gathered}[/tex][tex]Average\text{ rate of change=}\frac{6-1.5}{2-0}=2.25[/tex]C)
[tex]\begin{gathered} f(x)=3(1.6)^x \\ f(b)=7.68 \\ f(a)=3 \\ Average\text{ rate of change=}\frac{7.68-3}{2-0}=2.34 \end{gathered}[/tex]D)
[tex]Average\text{ rate of change=}\frac{\frac{25}{2}-8}{2-0}=2.25[/tex]Answer;
[tex]Option\text{ A}[/tex]A store sells 12 cans of fruitcocktail for $21.How much would it cost you to buy 7 cans of fruit cocktail?
Answers
Answer:
$189
Step-by-step explanation:
you would take 27 × 7 and multiply the two numbers, then get your answer.
Answer:
$12.25
Step-by-step explanation:
The unit rate would be[tex]\frac{21}{12}[/tex] 1.75 a can
7 x 1.75 = 12.25
11,000 with a 5/10/25 chain discount. Calculate the net price and trade discount
Answers
After the discount the net price is $7053.75 and the trade discount is 35.875% .
The term discount designates a sum or a percentage subtracted from an item's usual selling price.
A discount is a decrease in the cost of a commodity or service. Chain discounts can also be applied using the complement approach. To calculate each discount's complement, first subtract the discount from 100%. The net-price rate can be calculated by multiplying the complements to find the percentage that you really pay. The dollar value of the discount can also be determined using the complement technique.The given marked price of the article is 11000
Price after first discount of 5% = 11000 - 5% of 11000 = 10450
Price after second discount of 10% = 10450 - 10% of 10450 = 9405
Price after third discount of 25% = 9405 - 25% of 9405 = 7053.75
Therefore the net price is 7053.75.
Therefore the trade discount is = ( 11000 - 7053.75 ) ÷ 11000 = 0.35875
Trade discount percentage = 35.875%
Hence after the discount the net price is $7053.75 and the trade discount is 35.875% .
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How many 1/4 inch pieces can be cut from a piece of ribbon 9/20 of an inch long
Answers
5/20
Meaning only one 1/4 inch pieces can be cut from 9/20 of an inch
I’ve been stuck on this problem for a while & I have an SHSAT practice test tomorrow, can someone please tell me how to solve this
Answers
The number of ways of different platters will be 360 ways.
How to illustrate the information?From the information, it should be noted that the salad bar offers 6 different vegetables and it was illustrated that Selena wants to get exactly 2 different vegetables in the platter.
The number of different platters that she can create will be:
= nCr
n = total vegetables
r = amount needed
= 6! / 2!
= 6 × 5 × 4 × 3 × 2 / 2
= 360 ways.
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What is the quotient of (−84) ÷ (−7) ÷ 4? −48 −3 3 48
Answers
Answer: 3
Step-by-step explanation:
(−84) ÷ (−7) ÷ 4=
-84/(-7)/4=
(84/7)/4=
12/4=3
Worth 19 points, pls help
Answers
Scale factor 1/5 = 3/5
The water level in a tank measures 15 inches and is decreasing 0.5 inches every minute. How many minutes, x, will it take for the water level to measure 9 inches deep?
Answers
12 minutes .
The tank takes 12 minute for the water level to measure 9 inches deep.
Explain two step problem?A two-step problem is a word problem that must be solved in two steps.While many of these problems have only one step, a two-step word problem necessitates the solution of two different equations. Two different operations (such as multiplication and addition) or two of the same operation may be used in the two-step word problem (like subtraction and subtraction).Given tank measurement = 15 inches .
it decreases 0.5 inches every minute.
We have to the minute at which water level reaches 9 inches deep,
Here the difference of inches is 6 inches .
15 inches - 6 inches = 9 inches
To find minute ,
6 / 0.5 = 12 minute .
The tank takes 12 minute to measure 9 inches deep.
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XY is formed by X(-9,-7) and Y (-3,5 is line j is the perpendicular bisector of XY
Answers
The Equation of perpendicular bisector line l is found to be [tex]y = 2x+ 11[/tex]
Given Line XY is formed by points X(-9, -7) and Y(-3,5) therefore, it passes through these two respective points.
Let the slope of this line be n
The Slope of line passing through X and Y points is given by
n = [tex](y_{2} - y_{1} )/(x_{2} -x_{1} )[/tex]
⇒ n = {5 - (-7) }/ {(-3) - |(-9)}
⇒ n = 12/6
⇒ n = 2 (equation 1 )
Given that line l is perpendicular bisector of XY
Let the slope of l = m
We know that the product of the slopes of any two perpendicular lines is -1
Therefore, n x m = -1
⇒ m = -1 \ n
putting the value of n from the above equation 1 we get
⇒ m = - 1/2
Additionally, because l is the perpendicular bisector hence it goes through the mid point of the line XY
Mid point of two lines = [tex](x_{2} + x_{1} )/2[/tex] and [tex](y_{2} + y_{1} )/2[/tex]
Mid point of XY = [tex]\frac{-9 + (-3)}{2}[/tex] and [tex]\frac{-7 + (5)}{2}[/tex]
= (-6, -1)
The equation of perpendicular bisector l is given my the following formula:
[tex]y = nx + c[/tex]
here we have n = slope of line
we have n = 2 from equation 1
∴ y = 2x + c (equation 2)
Also equation (2) is satisfied by the point (-6,-1)
Hence we can express it as:
-1 = 2(-6) + c
⇒ c = 11
Therefore the required equation of perpendicular bisector l is
[tex]y = 2x + 11[/tex]
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y=-2
4x-3y=18
explanation needed
Answers
Answer:-2
Step-by-step explanation: Substitute the given y-value into 4x−3y=18 and solve for x
hurry plssssssssssssss
Answers
Answer:
So the answer would be
D
Step-by-step explanation:
Use the formula an=a1rn−1 to identify the geometric sequence an=81⋅2n−13n−1
I think this is right but I'm not 100% sure
I'm like 75% sure sorry