Answer:
[tex]R' = 6[/tex]
[tex]S' = 7.5[/tex]
[tex]T' = 9[/tex]
Step-by-step explanation:
The question is incomplete; however the sides of the triangle are;
[tex]R = 8[/tex]
[tex]S = 10[/tex]
[tex]T = 12[/tex]
[tex]Scale\ Factor = \frac{3}{4}[/tex]
Required
Determine the sides of R'S'T'
The new sides of the triangle is calculated as thus;
[tex]New\ Side = Old\ Side * Scale\ Factor[/tex]
Calculating R'
[tex]R' = R * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]R' = 8 * \frac{3}{4}[/tex]
[tex]R' = \frac{24}{4}[/tex]
[tex]R' = 6[/tex]
Calculating S'
[tex]S' = S * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]S' = 10 * \frac{3}{4}[/tex]
[tex]S' = \frac{30}{4}[/tex]
[tex]S' = 7.5[/tex]
Calculating T'
[tex]T' = T * Scale Factor[/tex]
Substitute 8 for R and 3/4 for Scale Factor
[tex]T' = 12 * \frac{3}{4}[/tex]
[tex]T' = \frac{36}{4}[/tex]
[tex]T' = 9[/tex]
Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The lengths of the sides of the triangle RST are given. Enter the lengths of the sides of the triangle R'S'T' below.
Answer:
6
7.5
9
Hi. Please i need help with this question .
workings please
Find the perimeter of the diagram.
a. 41cm
b. 38cm
c. 37cm
d.35cm
e. 32cm
Answer:
b. 38 cm.
Step-by-step explanation:
Note that the 2 sides which are unmarked are the opposite sides of 2 rectangles so they are both = 2 cm.
Now we just add all the given sides.
Starting with 6 on the top and travelling clockwise:
Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2
= 38 cm.
Name four fractions whose
values are between 1/7 and 1/5
Answer:
21/140, 22/140, 23/140, 24/140
Step-by-step explanation
7 and 5 have a common multiple of 140.
140/7 = 20 , 20/140
140/5 = 28, 28/140
21, 22, 23, 24, 25, 26, and 27 are all numbers between 20 and 28.
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac
Greetings from Brasil...
The equation:
X² + 4X + 1 = - 3
X² + 4X + 1 + 3 = 0
X² + 4X + 4 = 0
Δ = b² - 4.a.c
Δ = 4² - 4.1.4
Δ = 0
so we have just 1 solution
X = (- b ± √Δ)2a
X = (- 4 ± √0)2.1
X = - 4/2
X = - 2Answer:
X=-2
Step-by-step explanation:
Use more than one equation.
X=-2
X=2
minus the four from the left over.
answer X=-2
A number squared added to 16
Answer:
Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4
Step-by-step explanation:
Answer:
im pretty sure the answer is 4 but i don't rlly understand the question
Step-by-step explanation:
Hurry !!!!!
The data Ilst shows the cost, In dollars, of different brands of sneakers at a shoe store.
44.99, 59.99, 32.30, 65.00, 52.59
What is the standard deviation, to the nearest tenth, of the data If the scores represent only a sample of data on sneaker
prices at the store?
ao
Answer:
12.895
Step-by-step explanation:
Standard deviation is a statistic that measures the dispersion of a sample. The sample standard deviation measures the spread of data distribution of the sample. It is usually used to estimate the population standard deviation.
What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
Learn more about Cone and Surface area here
https://brainly.com/question/23877107
#SPJ2
Which of the following sequences is not an arithmetic sequence? 0, -2, -4, -6, ... 1, 5, 9, 13, ... 15, 12, 9, 6, ... -1, -2, -4, -8, ...
Answer:
D. -1,-2,-4,-8
Step-by-step explanation:
An arithmetic sequence means that there is a pattern between the numbers that is constant, that deals with either adding or subtracting.
The last sequence here, is not arithmetic because it is being multiplied by 2 every time.
PLEASE HELP! 20 POINTS! Rewrite x2 - 8x + 13 = 0 in the form (X - a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a = 2 and b = 1
a = 1 and b = 4
Answer:
a =4 and b= 3
Step-by-step explanation:
4) Jacqueline, Hanry, and Stanley bought a pizza pie to share for dinner. Harry ate
1/2 of the pie, and then Jacqueline ate 1/2 of what was left. After Jacqueline
finished, Stanley ate 1/2 of what was left of the pie. What fractional part of the
pizza pie was left after Stanley finished eating? Help please
Answer:
1/8
Step-by-step explanation:
ok so before i start i wanna say that this is gonna get confusing.....
Since the pizza is a whole quantity let us take it as 1.
Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1
= 1/2 × 1 = 1/2
Therefore fraction Harry ate = 1/2
Fraction of pizza left = 1 - 1/2 (LCM = 2)
= 1/2
Jacqueline ate 1/2 of what was left.
So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4
Therefore fraction of pizza left after both Harry and Jacqueline ate =
1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4
Therfore fraction of pizza left = 1/4
Stanley ate 1/2 of what was left.
So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8
Therefore, fraction of pizza left after all three of them ate =
1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8
I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )
Have a nice day!
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Which of the following coordinates represents a point that is collinear with the given points.
(-8, 0) and (4,-3)
O (-4,-1)
O (2,-3)
O (4,-4)
O (-4,1)
Answer:
A) (-4,-1)
Step-by-step explanation:
a line graphed with those coordinates would have a slope of -3/12, or -1/4.
Following that slope, you would go through (-4,-1). So that is the point collinear with the given points.
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
The function shown in the graph is A) f(x) = x - 1 B) f(x) = 2x - 1 C) f(x) = x - 0.5 D) f(x) = 2x - 0.5
Answer:
B
Step-by-step explanation:
B because the y-intercept is (0,-1) and another point is (5,9). Using the slope formula, 10/5=2 so the right equation is B.
Which of the following is true about a point? It is a location. It is infinitely long. It has an endpoint. It has width.
Answer:it is a location
Step-by-step explanation:
The others are simply wrong
The statement that can be said to be through about point is that a point is a location.
A point is a location in a geometry space used in demarcating an area or region with a dot representation. It does not have any long line or an endpoint. It does not also have a length or width. It is usually used to make a notion about a specified region.
For example: If I want to measure a distance of 6 cm. I can place my divider from the mathematical set on the meter-rule and measure out 6 cm.
Then, place 6 cm on the plain sheet to show two different dots indicating the distance of 6cm before I draw the distance of 6cm with my drawing pencil.
Learn more about a point here:
https://brainly.com/question/22932149?referrer=searchResults
If the public debt in 2006 was $6,783,231,062,743.62 and the budget
for 2007 was in deficit by $595,821,633,586.70, what was the public
debt in 2007? (Include commas.)
Answer:
677,727,284,640,775 ?
Please help me with this problem from my geometry:((
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign? 4x + 5 4x – 5 8x + 5 8x – 5
Answer:
D: 8x-5 is your answer
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?
Answer:
perimeter of a cuboid is 4(L+B+H).
so, L=1m, B=0.4m,H=0.8m
substituting by formula,
4(1+0.4+0.8)
= 4(2.2)
=8.8
AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
3.04 m^2
Step-by-step explanation:
Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in
increasing order.
x3 + 2x2 - x - 2 = (x +
p(x+
Answer:
(x-1)(x+1)(x+2)
Step-by-step explanation:
X³+2x²-x-2
(X-1)(x²+3x+2)
(x-1)(x+1)(x+2)
Find the measure of b.
The lines around the angle is saying that they are corresponding. so the angle of b is 25
Answer:
[tex]\boxed{<b = 25}[/tex]
Step-by-step explanation:
Two angles in the same sector/segment have congruent measures.
So, <b = 25 (These are the two angles in the same segment).
In Mr. Rojo’s art class, students are asked to create an orange background for their new painting. They mixed red paint and yellow paint to create a shade of orange. The table shows the number of pints of red paint, y, and yellow paint, x, different students used to create the orange color. Pints of Yellow (x) Pints of Red (y) 2 3 3 4.5 4 6 6 9 Identify the equation that relates the number of pints of red and yellow paint used. x=1.5y y=1.5x y=4.5x x=4.5y
Answer:
y = 1.5x.
Step-by-step explanation:
2 yellow (x) 3 red (y) (3 /2 = 1.5)
3 yellow 4.5 red (1.5)
4 yellow 6 red (1.5)
6 yellow 9 red (1.5)
So the equation is
y = 1.5x
Is 31/50 greater than 1/2
Answer:
Yes
Step-by-step explanation:
You can take 1/2 and find a common denominator if this helps you.
We will multiply 1/2 by 25/25 because 25/25 equals 1 so you get the same amount just with a different numerator and denominator. So you get 25/50 and then you compare. 31/50 > 25/50
PLZ HELP
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
c
6 whole hours
Step-by-step explanation:
The histogram represents the distributions of boiling
temperatures, in degrees Celsius, of tap water and a
mixture of salt water.
Boiling Temperatures
10
9
8
7
6
Number
of
Trials
5
-Tap Water
Salt Water
4 3
N
1
0
98°C
99 C 100C 101 102 103 104°C
Temperature (°C)
Answer:
The mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Step-by-step explanation:
The complete question is attached below.
From the provided data it can be seen that the distributions of boiling temperatures, in degrees Celsius, of both tap water and a mixture of salt water are approximately symmetric.
It is known that, for a symmetric distribution,
Mean = Median = Mode
The median for the two distributions are:
Median (Tap water) = 100°C
Median (Mixture of salt water) = 102°C
Then the mean for the two distributions would be:
Mean (Tap water) = 100°C
Mean (Mixture of salt water) = 102°C
So, the mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Answer: It's B :)
Step-by-step explanation:
Find all the values of k so that the quadratic expression factors into two binomials. Explain the process used to find the values. 3x^2 + kx - 8 Thanks anyone for help :)))
Answer: The answer is (-1/6, -k/6- 95/12)
Step-by-step explanation:
I copy and and pasted the question on to an online calculator because mathmatics is not my strongsuit.
The values of k for the quadratic equation 3x² + kx -8 are (-∞, ∞).
Given Quadratic equation: 3x² + kx -8.
The quadratic expression can be factored into two binomials if it has two real roots.
Discriminant
When b² - 4ac > 0, two real roots.
When b² - 4ac = 0, one real roots.
When b² - 4ac < 0, no real roots.
So, k² - 4(3)(-8) ≥ 0
k² + 96 ≥ 0
k² ≥ - 96
This is true for any value of k and k ∈ (- ∞, + ∞).
Therefore, the values of k are (-∞, ∞).
Learn more about Discriminant here:
https://brainly.com/question/27251785
#SPJ3
Please help me on this question
Answer:
x = [tex]\frac{k(a+r)}{7}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{7x}{k}[/tex] - r ( add r to both sides )
a + r = [tex]\frac{7x}{k}[/tex] ( multiply both sides by k to clear the fraction )
k(a + r) = 7x ( divide both sides by 7 )
[tex]\frac{k(a+r)}{7}[/tex] = x
Answer:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
Step-by-step explanation:
1. Multiply all three terms by k to eliminate the fraction:
ak = 7x - kr
2. Subtract kr from both sides:
7x = ak - kr
3. Divide both sides by 7:
ak - kr k(a - r)
x = -------------- or x = ------------
7 7
Match the number with its opposite.
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 [tex]*[/tex] v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing