Answer:
The ratio of corresponding sides is 2:3
Step-by-step explanation:
Given, the corresponding medians of two similar triangles are in ratio of = 2:3
We know that,
The ratio of corresponding median = ratio of their corresponding altitude
So the ratio of the corresponding median is equal to the corresponding altitude is 2:3.
So, the ratio of their corresponding sides will also be 2:3.
And the ratio of the area of two triangle = square of the ratio of their corresponding sides.
two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
Hope it is helpful for you
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Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
Hope I helped!
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A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=
Y=
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :
[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]
Comparing both coordinate :
[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]
and
[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
Thomas planted a seed and measured the height of the stem each week for four weeks.
• The stem grew 1 inch in the first week
•The stem grew 2 inches each week after the first week.
Which graph represents the growth of this plant?
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for ti.
Answer:
This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.
Now, the circunference of a circle can be written as:
C = 2*pi*r
where:
pi = 3.14
r = radius = half of the diameter = 3.5m/2 = 1.75m
Then replacing those values in the equation for the circumference we have:
C = 2*3.14*1.75m = 10.99 m.
And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)
We can safely round up the circumference to the next whole number, C = 11m
Answer:
11
Step-by-step explanation:
I took map test
Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?
Which phrase matches the algebraic expression below?
3(x + 7) + 10
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten
Three times x minus seven plus ten
Three times the difference of x and seven plus ten
Answer:
Three times the sum of x and seven plus ten
Step-by-step explanation:
Three times= 3(times)
the sum of x and seven= x+7
plus 10= +10
Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age?
A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age
B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age
C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age
D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's ag
Answer:
B.
Step-by-step explanation:
Hi! Here is the explanation!
When reading this question you need to make sure you know that sum and more than are words that can help to create equations. Jacob is 2 years older than becky and michas ages combined.
The equation would be:
y= 2+ (Becky's age+Micha's age)
I hope this helped!
3 thousandths + 2 hundredths is greater, less than or equal to 0.023
Answer:
Equal to
Step-by-step explanation:
I hope this helped
3 thousandths: 0.003
2 hundreths: 0.02
0.003+0.02= 0.023
Helplpppppp
5(5x+1)=25x-7 *
Answer:
25x+5=25x-7.
25x-25x=-7-5.
= -12.
Answer:
No solution.
Step-by-step explanation:
[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]
Hope this helps.
Please Help
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.
Answer:
2y-18
Step-by-step explanation:
(y-9)2 -----Distributive property
2*y=2y
2*9=18
=2*y-2*9
=2y-18
Hope this helps ;) ❤❤❤
Answer:
yes
Step-by-step explanation:
Find F(10) in father function f(x) =-2x+4
Need answers ASAP
match with the appropiate property:
Answer:
inverse property of multiplicationStep-by-step explanation:
(5)(1/5)=1
Answer: inverse property of multiplication
Step-by-step explanation:
You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator
If you come across question like [the reciprocal of a] = 1/aSince 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.
Which defines a circle geometry
Answer:
a circle is the locus of all points equidistant from a central point
Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??
Answer:
B. 8 times the difference of a number z and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
z = a number z
- = difference
6 = six
(z - 6) = The difference between a number z and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number z and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number z and 6
is 333/106 rational?
Answer:
No
Step-by-step explanation:
333/106 is actually an irrational number, because it can not be written as a simple fraction.
Answer: Yes it is rational
Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.
In this case, p = 333 and q = 106.
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1, are the two shape equal in perimeter?
Answer:
YES
Step-by-step explanation:
Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4
Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4
4n+4=4n+4
Yes, they are equal in perimeter.
Answer:
they have equal perimeter.
Step-by-step explanation:
perimeter :-
.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)
Square=4(n+1)
I don't understand how to solve this, please help!
Answer:
x+1 , x<-1
x²-bx-4 , -1≤x≤4
1/2 x +a
substitute x=-1 , continuous everywhere
x+1=x²-bx-4 when x=-1
-1+1=-1²-b-4
1+b-4=0 ⇒ +b-3 ⇒ b=3then for :
x²-bx-4=1/2 x +a for x=4
4²-4b-4=1/2x+a
16-4(3)-4=4/2+a
16-12-4-2=a
a=-2the equations will be :
x+1
x²-3x-4
1/2x-2
I hope this help
You are most likely to encounter an irrational numbers when you’re
Answer:
Taking square-root of numbers
Step-by-step explanation:
The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.
Answer:
Finding the area of a circle
Step-by-step explanation:
HW HELP! Will mark you BRAINLIEST!!
Answer:
16. DF = - 1-(-4) = 3
17. DE = -1/1/3 -(-4)
= - 5/3 + 12/3
= 7 / 3
18. FG = 2-(-1) = 3
19. FH = 3.5 - (-1) = 4.5
20. GH = 3.5 - 2 = 1.5
21. EH = 3.5 -(-1.5) = 5
22. AC = 16
3x + 7 = 16
x = 3
23. AB = x +7
= 10
24. BD = 2x + 3x - 1
=5(3) - 1
=14
25. CE = 3x - 1 + 2x + 3
=5x +2
=17
help please!!!!!!!!!!!!!!!!!!!!!!
Answer:
110,000
Step-by-step explanation:
since it covered 11,000 square miles at a rate of 0.10 miles per hour
11,000 /0.10=110000
Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
Answer:
B
Step-by-step explanation:
got it right on edge
The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
What is Inverse of Function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
Given:
f(x) = x² – 2x
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is
[tex]f^{-1}[/tex](x) = 1 +√(x +1)
Thus, the minimum value of x for which the original function has this as an inverse is 1.
So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
Learn more about Inverse Function here:
https://brainly.com/question/20664646
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Is the number 3,600−−−−−√ rational or irrational?
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5
Answer:
mean is 4.86
mean absolute deviation is 4.86
Step-by-step explanation:
Negative 2 divided by 9
Answer:
-0.22222222222222
Step-by-step explanation:
hope this helps
9k - 12 - 8k + 10 - 5k Please help and go fast I have limited time
Answer:
-4k-2
Step-by-step explanation:
which is the function represented below
Answer:
f(x)= x + 5
Step-by-step explanation:
The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.
Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?
Answer:
68.8 yards
Step-by-step explanation:
We can do justice to this question using proportion,
Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z
Let us denote the field on map as Z
Then we can say
5 inches on the map/ 2 yards in the park = 175inches/ X yards
If we cross multiply
5(Z )= 172 × 2
5(Z ) = 344
Make Z subject of the formula
Z= 344/5
Z= 68.8 yards
Hence the the actual park is 68.8 yards
How can you use a number line to find the sum of -4 and 6?
Answer:
see explanation for number line\ $29$
Step-by-step explanation:
this is the answer guys.
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
Use the circle below to answer the following question.
What is the name for E?
Une segment
Point
Ray
Answer:
Point
Step-by-step explanation: