Answer:
228
Step-by-step explanation:
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
Learn more about Scale Factor here :
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Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12
Answer:
y=4x+11
Step-by-step explanation:
Answer:
y=4x+11
Step-by-step explanation:
y - 3 = 4(x + 2)
=
y - 3 =4x + 8
=
y - 3 (+3) = 4x + 8 (+3)
=
y=4x+11
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Direct Variation, Constant of Proportionality, and Constant Rate of Change all represent linear proportional relationships.
In the equation LaTeX: y=kx what does each variable represent.
Answer:
y = dependent variable
k = constant of proportionality or constant rate of change
x = independent variable
Step-by-step explanation:
The equation, [tex] y = mx [/tex] represents a direct variation showing a proportional relationship between variable y and variable x.
y represents the dependent variable
k represents the constant of proportionality or constant rate of change
x represents the independent variable
Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?
Answer:
She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.
the perimeter of a isosceles triangle is 5(2+root2) find the area
Answer:
12.5
Step-by-step explanation:
If an isosceles right triangle as the length of the equal sides is a , then the length of the hypotenuse will be a2–√ (using pythogoras theorem.
Hence the perimeter will be a+a+a2–√=a(2+2–√)
Hence the equal sides of the triangle in question has the length of a=5
Area of the triangle = 12∗Height∗Base
=12∗5∗5=12.5
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
what is the geometric mean of
9 and 12
16 and 25
7 and 11
Answer:
Step-by-step explanation:
9 and 12 GM=[tex]\sqrt{9*12}[/tex]=10.39
16 and 25 gm=[tex]\sqrt{16*25}[/tex]=[tex]\sqrt{400}[/tex]=20
7 and 11 GM=[tex]\sqrt{7*11}[/tex]=8.77
Answer:
6sqrt(3)
20
sqrt(77)
Step-by-step explanation:
x is the geometric mean of a and b if the following equation is true.
a/x = x/b
9 and 12
9/x = x/12
x^2 = 9 * 12
x^2 = 108
x = sqrt(108)
x = 6sqrt(3)
16 and 26
16/x = x/25
x^2 = 16 * 25
x^2 = 400
x = 20
7 and 11
7/x = x/11
x^2 = 7 * 11
x = sqrt(77)
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%
Answer: 35%
Step-by-step explanation:
I have no idea how to find the values of x and y in that diagram. Can someone help?
Answer:
Multiple choice?
Step-by-step explanation:
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
PLEASE HELP!!QUICK! in 3 years ,a gyms membership went up from 6,400 to 8,400.which expression shows how to find the percent of increase?
A.2,000 divide by 8,400
B.2,000 divide by 6,400
C.6,400 divide by 2,000
click on the volume of this rectangular prism.
Answer: 192 cubic inches
Step-by-step explanation:
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships
Answer:
One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.
Step-by-step explanation:
You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.
So, now all you have to do it compare it to something you do everyday.
Please don't copy this, we are in the same class. :(
To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?
A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition
Answer:
b
Step-by-step explanation:
Answer:
Henry's cousin went to an audition.
Step-by-step explanation:
What does the word Expressions mean in mathematics in your own words?
Answer:
Expression in mathematics means word problem.
10 flowers in 5 vases = ? flowers per vase
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT
Answer:
7
40
the answer is 7 fortyths
working out
3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths
5 sixths +1 third + 1 half = 10 sixths
7 twentyforths divided by 10 sixths= 7 fortyths
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4
PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(
Answer:
stem: 5
leaf: 0, 6
stem: 6
leaf: 0, 2, 5, 6
stem: 7
leaf: 1, 5
stem: 8
leaf: 6
stem: 9
leaf: 9
i hope this helps <3
Step-by-step explanation:
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1
Answer:
+1
Step-by-step explanation:
the last number is the y intercept
Answer:
The y-intercept is (0,1).
Step-by-step explanation:
y=mx+b
b is the y-intercept
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?
Answer:
Total item = 364
Step-by-step explanation:
1 partridge for 12 days = 12 x 1 = 12
2 turtle doves for 11 days = 11 x 2 = 22
3 french hens for 10 days 10 x 3 = 30
4 calling birds for 9 days = 9 x 4 = 36
5 gold rings for 8 days = 8 x 5 = 40
6 geese a-laying for 7 days = 7 x 6 = 42
7 swans a-swimming for 6 days = 6 x 7 = 42
8 maids a-milking for 5 days = 5 x 8 = 40
9 ladies dancing for 4 days = 4 x 9 = 36
10 lords a-leaping for 3 days = 3 x 10 = 30
11 pipers piping for 2 days = 2 x 11 = 22
12 drummers drumming for 1 day = 1 x 12 = 12
Total item = 364
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
Write the quadratic equation in standard form:
3x – 17 + 3x^2= -4
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3