Answers
Answer:
[tex]HE=17[/tex] units.
Step-by-step explanation:
In a triangle, centroid is the intersecting point of the medians.
Centroid divides each of the medians in ratio [tex]2:1[/tex]
So,
[tex]\frac{DH}{HE}=\frac{2}{1} \\\\\frac{DH}{HE}+1=\frac{2}{1}+1\\\\ \frac{DH+HE}{HE} =3\\\\\frac{DE}{HE}=3[/tex]
Put [tex]DE=51[/tex] units
[tex]\frac{51}{HE}=3\\\\HE=\frac{51}{3}[/tex]
[tex]HE=17[/tex] units.
Related Questions
how do I solve this can someone explain it to me
Answers
Answer:
x = 125.44
Step-by-step explanation:
you multiply both side by 7
so 7 • 17.92 = 7 • x/7
125.44 = x
Answer:
x = 125.44
Step-by-step explanation:
multiply each side of the equation by 7
17.92(7) = [tex]\frac{x}{7}[/tex](7)
125.44 = 7x / 7
7x / 7 = 1x or x
x = 125.44
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 25 ft long. She wants to leave a uniform strip of floor around the rug. She can
afford to buy 315 square feet of carpeting What dimensions should the rug have?
Answers
Answer:
13 x 158
Step-by-step explanation:
L= 2W
A= 315 sq ft^2
A= L*W
315= 2W* W
315/2= 158 = w^2
W^2= 158
W=[tex]\sqrt{158}[/tex]
W= 13
The rug should have a dimension of 15 ft wide and 21 ft long.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Let the length of the room be l and h be the width.
So, given that,
l = 19 ft
h = 25 ft
Let w be the width of rug,
Since Cynthia can afford to buy 315 square feet of carpeting
So, area of the rug should be given as,
l*h = 315
Now to carpet the room along its dimension, each side of the width is
w + w = 2w.
So, l =25 - 2w
h = 19 - 2w
Now, ∵ l*h = 315
Put the values we get,
(25 - 2w)*(19 - 2w) = 315
expanding we get,
4w² - 88w + 475 = 315
or, 4w² - 88w + 160 = 0
or, w² - 22w + 40 = 0
using the quadratic equation we get two solutions:
w = 2
w = 20
Since, w = 20 is greater than one of the width of the room i.e 19ft
So,we take the solution w = 2
Thus, dimensions of rug is given as,
l = 25 - 2*2 = 21 ft
h = 19 - 2*2 = 15 ft
Thus, the rug should have a dimension of 15 ft wide and 21 ft long.
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then find the measure of both angles??
Answers
Answer:
i so sory i dont know :(
Step-by-step explanation:
These two more geometric figures that are identical in shape but not in size what is it?
Answers
Answer: Congruent
Step-by-step explanation:
Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size.
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Raj wants to take yoga classes. There are two yoga studios that have different membership plans.
The first studio charges a fixed amount of $70 per month, and you can take as many classes as you want
for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price
(in dollars) of the second studio as a function of the number of classes taken is given by the following table
of values:
Classes
Price (dollars)
1
35
3
45
5
55
Which studio charges more for each additional class?
Answers
Answer:
Which studio charges more for each additional charge? B
Raj wants to take 8 classes each month. Which studio is cheaper for him? A
Step-by-step explanation:
Studio one has no additional charge.
Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.
Plz help me I need help asap
Answers
D) -3
because the number should be less than -2 and greater than -6
so here only -3 satisfies the condition
Which proportion is NOT true?
Answers
Answer:
I think its BD/FG=AD/EH.
What is the equation for an arithmetic sequence with a first term of 5 and a second term of 2? (5 points) an = 5 − 2(n − 1) an = 5 + 2(n − 1) an = 5 − 3(n − 1) an = 5 + 3(n − 1)
Answers
Answer:
an = 5 − 3(n − 1)
Step-by-step explanation:
First term,a = 5
Second term = 2
Common difference,d = 2 - 5 = -3
nth term = a + d(n - 1)
= 5 -3(n - 1)
Check
When n = 2
2nd term = 5 - 3(2 - 1)
= 5 - 3(1)
=5 - 3
= 2
2nd term = 2
X-2y=10 x+3y=5 please hellppppppp
Answers
Answer:
x=8,y=-1
Step-by-step explanation:
x-2y=10
x=10+2y
10+2y+3y=5
5y=-5
y=-1
x-2(-1)=10
x=8
The solution to the system of equations x - 2y = 10 and x + 3y = 5 is x = 8 and y =-1
How to solve the equation?The system of equations is given as:
x - 2y = 10
x + 3y = 5
Subtract both equations
-2y - 3y = 10 - 5
Evaluate
-5y = 5
Divide both sides by -5
y = -1
Substitute y = -1 in x - 2y = 10
x - 2(-1) = 10
This gives
x + 2 = 10
Subtract 2 from both sides
x = 8
Hence, the solution to the equations is x = 8 and y =-1
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Your favorite cookies use 2 1/2 cups flour per batches. You used 7 cups. How many batches did you make?
here are the anwser choices:
a. 3 1/4
b. 3 4/5
c. 2 4/5
d. 2 1/4
please help me
Answers
Answer:
3 and a fourth amount of bathces
18x - 77=1
X - 7y=-33
Answers
Answer:
x=-33+7y
then putting value of x
18(-33+7y)-77=1
-594+126y-77=1
-671+126y=1
126y=670
y=670/126
5x-9y=-26 and -2x+3y=11 combing the equations
Answers
5x - 2x = 3x
-9y + 3y = -6y
-26 + 11 = -15
If two tangents are inclined at 60° are drawn to a circle of radius 3cm then find length of each tangent.
Answers
5.19cm
Step-by-step explanation:
draw perpendicular from the center of the circle to produce a right angle triangle which will have 3cm and an angle of 30 degrees. use tan to find the adjacent line which is the length of the tangent.
Rosie buys 2 books for j pounds each Write an expression for the total of both books
Answers
Answer:
2j = t (total)
Step-by-step explanation:
2 (books) times j(pounds) = total
The difference quotient is used to determine the average rate of change of g(x) = 5x2 + 6x on the interval from x = 1 to x = 5. Which statement describes the process correctly?
Answers
Answer:
C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36
Step-by-step explanation:
The statement is the difference quotient is 10x+5h +6.
What is average rate of change of function?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given function:
g(x) = 5x² + 6x
interval is x= 1 to x=5
so, the average rate of change is
=10(1)+ 5(4) + 6
= 36
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What are the scale factor and center of the dialtion?
Will mark brainliest
Answers
Answer:
.
Step-by-step explanation:
Scale factor ⅓
7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the garden is represented by 10r ^ 2 + 12r + 9 . Which expression represents the length of the third side ?
Answers
Answer: [tex]15r^2-21r+5[/tex]
Step-by-step explanation:
Given: Perimeter of triangular garden = [tex]25r^2 - 9r + 14[/tex]
The sum of two sides of the garden = [tex]10r^2 + 12r + 9[/tex]
Perimeter is the sum of all sides of a triangle.
Third side = Perimeter of triangular garden - sum of two sides of the garden
[tex]=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5[/tex]
The expression represent the third side = [tex]15r^2-21r+5[/tex].
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
26cm
Step-by-step explanation:
AO is half of the rectangle. if BD is the whole rectangle... AO (13) times 2 equals 26 cm = BD
Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?
Answers
Answer: $2.40
Step-by-step explanation:
If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.
12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.
Lella carns 42 dollars per week working part-time at a book store. She makes one dollar more for each book that she sells. The amount, A (In dollars), that Lella
carns In a week if she sells b books is given by the following.
A=42+ b
How much does Lella carn in a week if she sells 14 books?
Answers
Answer:
$56
Step-by-step explanation:
the equation is A=42+b
b=14 because Leila sells 14 books
substitute 14 in the equation: A=42+14
A=56
Answer:
She earns 1 dollar for each book sold
A = 42+B*1
A = 41+B
Let B = 14
A = 41+14
A = 56
Step-by-step explanation:
help plz!! i’ll give brainliest
Answers
Answer:
answer choice a! (16)
Step-by-step explanation:
2y-4x=10 solve for x
Answers
Answer:
down below :)
Step-by-step explanation:
the answer is x = - y/2 + 5/2
your welcome hope this helped
anyone can help me ?
Answers
Answer:
the 4th one
Step-by-step explanation:
it shows that k is greater than 11
Need help plz!!!!!!!
Answers
Answer:
8. s(-2) = 3, s(0) = 2, s(4) = 0
Look at the table for each of the values of x in s(x) and see what the y-value is. For example, for s(-2) you look at what y is when x = -2. It would be y = 3.
9. when x = -4, so s(-4)
Look through the table to find the row where y = 4. x would be -4.
10. -1
You can see that each time x goes up by 2, y goes down by 1. This means that the next row would say x = 6 and y = -1. The predicted value of s(x) is -1.
You will be redoing the moulding around the windows and the door of your bedroom. You have 2 windows that measure 110 cm x 65 cm, and the door measures 76 cm x 198 cm. You do not install moulding along the base of the door. Moulding costs $0.98 per foot. What will be the total cost of the moulding for this project?
Answers
Answer:
$31.26 if you could buy the exact amount necessary
Step-by-step explanation:
2[2(110)+2(65)]=windows
700 = windows
76+2(98)=door
272=door
total=972 cm=31.9 feet (you might have to buy 32 feet though)
31.9x0.98=$31.26
Simplify the expression using the distributive property:
-30x+24
—————— =
-6
Answers
Answer:
-30x+24= -6
-30(1)+24= -6
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answers
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
Five friends share the cost of a dinner equally.
a. Let x represent the total cost of the dinner. Write an expression for the cost per person.
Expression:
Answers
Answer:
x/5
Step-by-step explanation:
x is the money so if you divide it equaly you would divide it by the five freinds.
The temperature outside changed from 98°F to 42°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answers
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Answer:
7° each day
Step-by-step explanation:
98-42=56. 56 is the amount that dropped within those 8 days. Divide 56 by 8 and you get 7
1 . A birdwatcher wishes to model the number of birds arriving at a particular barn per hour.
a) State two conditions needed for a Poisson distribution to be a suitable model.
b) The expected number of birds arriving per hour is 7. Assuming the conditions for a Poisson model are met, find the probability that, in a randomly chosen hour during the day, the number of birds arriving at the barn is:
(i) fewer than 4
(ii) at least 7
(iii) exactly 9
Answers
Answer:
b I guess
what is that at the bottom?