Answer:
28.18, rounding it, it would be 28.2 cubic inches
Step-by-step explanation:
V=Pir^2(h/3)
Two similar triangles have a pair of
corresponding sides of length 12 meters and 8
meters. The larger triangle has an area of 180
square meters. Find the area of the smaller triangle.
Answer:
The area of the smaller triangle is 80m²
Step-by-step explanation:
Find the scale factor to get the dimensions of the smaller triangle from the larger triangle using the given information:
[tex]\frac{\text{Large Triangle Length}}{\text{Small Triangle Length}}=\frac{12}{8}=\frac{3}{2}[/tex]
When scaling the area of similar shapes, we will square the scale factor for the lengths. We do this because area is a 2-dimensional measurement.
[tex](\frac{3}{2})^2=\frac{9}{4}[/tex]
Let x represent the area of the smaller triangle. So, we have:
[tex]\frac{9}{4}=\frac{180}{x}[/tex]
Cross multiply:
[tex]9x=4(180)[/tex]
[tex]9x=270[/tex]
Divide by 9:
[tex]x=\frac{720}{9}[/tex]
[tex]x=80[/tex]
Therefore, the area of the smaller triangle is [tex]80m^2[/tex].
find the unit rate if 20 snickers bar cost $10
Answer: 50
Step-by-step explanation:
20 divided by 10 is 2, and a half a dollar is 50 cents.
This triangular arrangement, known as Pascal's triangle, generates numbers based on a pattern. Fill in the missing numbers. Pascal's triangle Row 1: 1, Row 2: 1, 1. Row 3: 1, 2, 1. Row 4: 1, 3, 3, 1. Row 5: 1, 4, 6, 4, 1. Row 6: 1, 5, 10, 10, 5, 1. Row 6: 1, 6, 15, 20, 15, 6, 1. Row 7: 1, blank, blank, blank, blank, blank, blank, 1. A. 2, 3, 4, 5, 6, 7 b. 8, 21, 35, 21, 20, 8 c. 7, 20, 35, 35, 20, 7 d. 7, 21, 35, 35, 21, 7
Answer: D.) 7, 21, 35, 35, 21, 7
Step-by-step explanation:
For pascal triangle :
Row 1: 1,
Row 2: 1, 1.
Row 3: 1, 2, 1.
Row 4: 1, 3, 3, 1.
Row 5: 1, 4, 6, 4, 1.
Row 6: 1, 5, 10, 10, 5, 1.
Row 6: 1, 6, 15, 20, 15, 6, 1.
Row 7: 1, blank, blank, blank, blank, blank, blank, 1
To obtain values for any row :
Digit 1 is plaved at both extremes ; and each two successive digit in the previous row is added to obtain the numbers in that row.
For row 7:
After placing 1 at both extremes ;
Each two successive digits in row 6 are summed up;
Row 6: 1, 6, 15, 20, 15, 6, 1.
(1 + 6) = 7;
(6 + 15) = 21
(15 + 20) = 35
(20 + 15) = 35
(15 + 6) = 21
(6 + 1) = 7.
Hence,
Row 7 = 1, 7, 21, 35, 35, 21, 7, 1
Which equation has a solution of 2 3 for n?
Answer:
letter C.5n=10
Step-by-step explanation:
thank me laterWhat is the value of x?
O 1
O 5
O 25
0 37
Answer:
37
Step-by-step explanation:
when you plug in 37 for X which is 96 degrees. which is technically an obtuse angle
Answer:
It’s 25
Step-by-step explanation:
You look good today
Imagine that several of your blog’s readers say they want to eat more locally grown food but are not sure where to buy it. What would the best response be?
Local Farmers' Markets, CSA, Local Grocery Stores, Online Resources are the best responses to the readers.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The best response would be to provide your readers with a list of resources for finding locally grown food. Here are some suggestions:
Local Farmers' Markets: Farmers' markets are a great place to find locally grown food.
Community Supported Agriculture: CSA programs allow you to purchase a share of a local farm's produce for the season.
Local Grocery Stores: Many grocery stores now carry locally grown produce and other food products
Online Resources : There are many websites that can help you find locally grown food.
Local Farms: Some local farms have their own stores or farm stands where they sell their products directly to consumers.
Hence, by providing your readers with these resources, they will have a better understanding of where to find locally grown food and how to support their local food system.
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A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired
concentration?
The laboratory technician can combine L of the pure acid solution with L
of the 20% acid solution to get the desired concentration
Answer:
The technician can combine 10 liters of pure acid with 30 liters of 20% acid to get the desired concentration
Step-by-step explanation:
For pure acid, the concentration will be 100%
Let the liters of pure be a and the liters of 20% be b
Since we want 40 liters of total;
a + b = 40 ••••••••(i)
Also,
100% of a + 20% of b = 40% of 40
a + 0.2b = 16 •••••(ii)
From ii , a = 16-0.2b
Put this into i
16-0.2b + b = 40
0.8b = 40-16
0.8b = 24
b = 24/0.8
b = 30
Since a + b = 40
a = 40 - b
a = 40-30
a = 10
13. Which line has a positive slope and a positive y-intercept?
Line B has a positive slope and a positive y-intercept because crosses the y-axis above the origin.
As per the shown graph,
In line A, we move from left to right along the line, and the y-values decrease. This means line A has a negative slope.
In line B, we move from left to right along the line, and the y-values increase. This means line B has a positive slope.
Similarly, line C has a positive slope.
Here, lines A and B cross the y-axis above the origin (positive y-intercept)
Thus, line B has a positive slope and a positive y-intercept.
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out of every five girls are wearing ribbons if there are 60 girls in the school how many of them were wearing ribbons
Answer:
12
Step-by-step explanation:
if you dived 60 by 5 you get 12, I dived because if you do groups of 5 until you get to 60 you can make 12 groups
Menal is making a plan to read her 625-page book. Her goal is to finish the book in 6 weeks. She is very busy during the first and fifth week, so she plans to read 50 pages during the first week and 45 pages during the fifth week. She will read the same number of pages during each of the remaining 4 weeks.
Answer:
p ≥ 132.5 pages
Step-by-step explanation:
Menal wants to know the minimum number of pages, p, she must read during each of those 4 weeks to meet her goal.What is the inequality for this problem?
Total pages = 625
First week = 50 pages
Fifths week = 45 pages
First week + fifth week
= 50 + 45
= 95 pages
Total pages remaining = Total pages - pages read
= 625 - 95
= 530 pages
Total pages remaining = 530 pages
Pages per week for 4 weeks ≥ 530 pages / 4 weeks
p ≥ 132.5 pages
For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip. If srepresents Lina's
speed during the first part of her trip, which expressions represent the total time of her trip in hours?
( The picture are the answer choices!!!)
Answer:
Option (5)
Step-by-step explanation:
Lina's speed during the first part of the trip = s miles per hour
If she travels initial 80 miles on this trip with this speed, time taken to cover the distance [tex]t_1=\frac{\text{Distance}}{\text{Speed}}=\frac{80}{s}[/tex] hours
Now speed at which she traveled remaining 50 miles = (s + 10) miles per hour
So the time spent to cover this distance [tex]t_2=\frac{50}{s+10}[/tex] hours
Total time for the complete trip = [tex]t_1+t_2[/tex] = [tex]\frac{80}{s}+\frac{50}{s+10}[/tex]
= [tex]\frac{80(s+10)+50s}{s(s+10)}[/tex]
= [tex]\frac{80s+800+50s}{s(s+10)}[/tex]
= [tex]\frac{130s+800}{s(s+10)}[/tex]
Therefore, Option (5) will be the answer.
Option C is correct. The expressions that represent the total time of her trip in hours is [tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
Let the speed travelled during the first part of the trip be "s"
The formula for calculating the distance is expressed as:
[tex]distance=speed\times time[/tex]
For the first part of the journey:
distance = 80miles
time = t₁
Speed = s
Substitute the given parameters into the formula:
[tex]80 = st_1\\t_1=\frac{80}{s}[/tex]........................................... 1
For the second part of the trip;
Distance travelled = 5 miles
speed = s + 10 (10miles/hour faster than the first part of the trip)
time = t₂
Get the time t₂
[tex]50=(s+10)t_2\\t_2=\frac{50}{s+10}[/tex]
Adding both times taken to get the total time of her trip in hours.
[tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
Hence the expression that represent the total time of her trip in hours is [tex]t_1 + t_2 = \frac{80}{s} +\frac{50}{s+10} \\[/tex]
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Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5. Prime factors are 2*2*2*2*5. 2 and 5 are the prime factors of 80 .
Step-by-step explanation:
I hope i helped you <3
Answer:
5,2,2,2,2.
Step-by-step explanation:
2×2×2×2×5=80
Jacqueline drove 72 km on 6 L of gasoline.
Which of the following equations can be used to find how far she can travel on a full tank of 50 L?
A. 6/72=x/50
B. 72/6=50/x
C. x/72=6/50
D. 6/72=50/x
Answer:
6/72=50/x
Step-by-step explanation:
I just took the test and got it correct
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym's opportunity cost rate is 6 percent compounded monthly, how much will she have in the account in five years? (b) How much will be in the account if the deposits are made at the beginning of each month?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Monthly deposit= $100
Interest rate= 0.06/12= 0.005
Number of periods= 12*5= 60 months
a)
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {100*[(1.005^60) - 1]} / 0.005
FV= $6,977
b) If the deposit is at the beginning of the month, the interest is compounded one more period. We need to use the following formula:
FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}
FV= 6,977 + {[100*(1.005^60)] - 100}
FV= 6,977 + 35
FV= $7,012
The boxplot displays a summary of 20 test scores.
A boxplot. The number line goes from 22 to 82. The whiskers range from 23 to 81, and the box ranges from 60 to 73. A line divides the box at 61.8.
ANSWERS
Complete the statements based on the boxplot.
This distribution of test scores is skewed left. The test score of 23 is an outlier. The median test score is 61.5. The range of all of the test scores is 58, while the range of the middle 50 percent of the test scores is 13.
Answer:
Skewed left
is
61.5
58
13
Step-by-step explanation:
The missing statements are skewed left, Outlier, score and scores; range; scores.
1. This distribution of test scores is skewed left.
The distribution is skewed left because the tail of the boxplot extends to the left, indicating that there are more lower scores in the dataset.
2. The test score of 23 is an outlier.
The value 23 is an outlier since it lies outside the whiskers of the boxplot. An outlier is a data point that is significantly different from the rest of the data.
3. The median test score is 61.5.
The median is the value that separates the data into two equal halves. Since the line divides the box at 61.8, the median is 61.5.
4. The range of all the test scores is
= 81 - 23
= 58.
The range of the middle 50 percent is the difference between the upper quartile and the lower quartile, which is given as (73 - 60) = 13.
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Often, there is more than one set of sequences that will take a preimage to an image. Determine one or two other sequences to create FGHIJ from ABCDE.
Hello.
The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).
A rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D
Have a nice day
Answer:
FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.
FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.
I need help on this problem
Answer:
there are 16 ounces in one pound, so in 4 pounds we have 64 ounces, if we spread 64 evenly with 8 pots you get 8 ounces per pot
8 is the answer
No links and just the answer and explanation
Answer:
x = 1, x = 6
Step-by-step explanation:
Given equation:
[tex]\dfrac{x+2}{x-4}=\dfrac{2x}{x-3}[/tex]
Cross multiply:
[tex]\implies (x+2)(x-3)=2x(x-4)[/tex]
Expand brackets:
[tex]\implies x^2-3x+2x-6=2x^2-8x[/tex]
[tex]\implies x^2-x-6=2x^2-8x[/tex]
Collect and combine like terms:
[tex]\implies 2x^2-x^2-8x+x+6=0[/tex]
[tex]\implies x^2-7x+6=0[/tex]
Factor:
[tex]\implies (x-6)(x-1)=0[/tex]
Therefore,
[tex](x-6)=0\implies x=6[/tex]
[tex](x-1)=0 \implies x=1[/tex]
PLS HELP WITH THIS TRANSLATION, IDK HOW TO DO IT
(-3,6) == (-1,1)
-3 + 2 = -1 ,
6 -5 = 1
(-3,3) == (-1,-2)
-3 + 2 = -1
3 - 5 = -2
(-5,3) == (-3,-2)
-5 + 2 = -3
3 - 5 = -2
Please help me!
Gabriella sold half of her comic books and then bought fifteen more. She now has 34. How many comic books
did she have in the beginning?
Answer: i believe 38
Step-by-step explanation:
i’ll try my best to explain... 34-15=19 which means that times 2 is 38
if this was right it would make sense because half of 38 is 19 and 19+15 is 34
Which is the graph of the linear inequality 2x – 3y < 12?
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the left of the line is shaded.
Mark this and return
Answer:
see graph
Step-by-step explanation:
The pavement at the new shopping mall is being laid. Which transformation is applied from brick A to brick B?
rotation
translation
dilation
reflection
Answer:
I WOULD SAY ITS rotaiton UWU
Rotation is the transformation applied from brick A to brick B.
We need to find which transformation is applied from brick A to brick B.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, line, or geometric figure.
Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.
Brick A rotated 90° to brick B.
Therefore, rotation is the transformation applied from brick A to brick B.
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The magnitude, m, of an earthquake is defined to be m = log startfraction i over s endfraction, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a "standard" earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth. 2 3 4.5 6.9
The magnitude, M, of an earthquake is 1.544 units when the magnitude of an earthquake is 1,000 times more intense than a standard earthquake
It is given that the magnitude of m, of an earthquake, is defined as:
[tex]\rm M=log\frac{I}{S}[/tex]
Where 'I' is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and 'S' is the intensity of a "standard" earthquake.
It is required to find the magnitude of the earthquake that is 1,000 times more intense than a standard earthquake.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have:
[tex]\rm M=log\frac{I}{S}[/tex]
and [tex]\rm I=35S[/tex] putting this value in the above equation, we get:
[tex]\rm M=log\frac{35S}{S}[/tex]
[tex]\rm M=log35[/tex]
[tex]\rm M=1.544[/tex] (From log table)
Thus, The magnitude, M, of an earthquake is 1.544 units.
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Answer:
M=3
Step-by-step explanation:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution set of this problem? (negative infinity, negative 21) (negative infinity, negative 21 right-bracket left-bracket negative 21, positive infinity) (21, positive infinity)
The solution set of Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is x ≤ 21
What is Inequality?Inequalities are expressions that have <, >, ≤ or ≥. Therefore,
let the number = x
Five times the sum of a number and 27 is as follows:
5(x + 27)
Six times the sum of that number and 26 is as follows:
6(x + 26)
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is as follows:
5(x + 27) ≥ 6(x + 26)
Therefore,
5(x + 27) ≥ 6(x + 26)
5x + 135 ≥ 6x + 156
-x ≥ 21
x ≤ 21
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Answer:
ITS B
Step-by-step explanation:
took the test
h + r when b = 3, d = 12, h = 2 and r = 7.
Answer:
The answer to your question is 3
Step-by-step explanation:
2 + 7 = 9
9÷3 = 3
What is the equivalent expression for the following: 10^6 ÷ 10^4
a:
10^24
b:
1
c:
10^2
d:
10^10
9514 1404 393
Answer:
c. 10^2
Step-by-step explanation:
It can be helpful to remember that an exponent signifies repeated multiplication. Here, the denominator factors cancel an equal number of numerator factors
[tex]\dfrac{10^6}{10^4}=\dfrac{10\cdot10\cdot10\cdot10\cdot10\cdot10}{10\cdot10\cdot10\cdot10}=10\cdot10=\boxed{10^2}[/tex]
Ultraviolet light from a distant star is traveling at 3. 0 × 108 m/s. How long will it take for the light to reach Earth if it must travel 4. 0 × 1013 km? 2. 7 × 10–2 hours 2. 2 × 103 hours 3. 7 × 104 hours 1. 3 × 105 hours.
The time taken for the light to reach earth will be 3.6 ×10⁴ hours. The quantity of time that an activity or a condition continues to exist. is known as the time period.
What is the time period?The amount of time that an action or a state continues to exist. is the time period. Depending on the nature of the activity or situation under consideration, it might be measured in seconds or millions of years.
The given data in the problem is;
v is the speed of ultraviolet light= 3 ×10⁸ m/sec
d is the distance covered by the light= 4×10¹³ Km=4× 10¹⁶m
The time taken by the light to reach the surface of the earth will be;
[tex]\rm d = v\times t \\\\ \rm t= \frac{d}{v} \\\\ \rm t= \frac{4\times 10^{16}}{3\times 10^8} \\\\ \rm t= 1.33 \times 10^{8} \ sec[/tex]
In one hour there are 3600 seconds so the time period in the hours is found as;
[tex]\rm t= 1.33 \times 10^8 \times \frac{1}{3600} \\\\ \rm t=3.6 \times 10^4\ hours[/tex]
Hence the time taken for the light to reach earth will be 3.6 ×10⁴ hours.
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Answer:
C. 3. 7 × 104 hours
Step-by-step explanation:
1/3(pi)4^3 I need help with this problem
Answer:
66.99 or 67
Step-by-step explanation:
First remember pemdas,
Parentheses, Exponents, Multiply, Divide, Add, Subtract
You need to do 4 to the 4th power first which is 64
Now on your calculator do 1 divided by 3, multiplied by pi or 3.14 if approximate multiplied by 64.
Here are the answers:
66.99 if multiplied to 3.14 rounded to the nearest hundredth.
67 if used pi. These answer choices have to be rounded or you'll be writing all possible numbers until midnight.
SO PLEASE ROUND!!!
The L.C.M of 4 and 6 is what?
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]the \: lcm \: of \: 4 \: and \: 6 \: is \: 12[/tex]
Which equation should be used to solve for x? Solve for x.
Question options:
x+52+51+84= 180; x=7
180-51-84+52=x; x=97
x+52+84+51= 90; x=-97
x+52+51+84= 180; x=-7
help
Answer:
x+52+51+84=180; x=-7
Step-by-step explanation:
-7+52 degrees = 45
51 degrees = 51
84 degrees= 84
+ -------
180 degrees
all angles in a triangle should add up to 180 degrees.