In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G
If the length of AD is 48 cm, how many centimeters long would DG be?
Answers
Answer:
DG = 16 cm
Step-by-step explanation:
DG is one- third of AD , then
DG = [tex]\frac{1}{3}[/tex] × 48 = 16
The length of the segment DG will be equal to 16 cm.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given In the diagram below of triangle ABC, medians AD, BE and CF intersect at point G and the length of AD is 48 cm.
The length of the segment DG will be calculated as,
DG is one-third of AD, then
DG = ( 1 / 3 ) × 48
DG = 16
Therefore, the length of the segment DG will be equal to 16 cm.
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Related Questions
solve for a
2a+3b=12-2(2b+a)
PLEASE SHOW WORK ILL MARK BRAINLIEST.
Answers
Answer:
a = 3 - (7/4)b
Step-by-step explanation:
Start by performing the indicated multiplication:
2a+3b=12-2(2b+a) => 2a+3b=12 - 4b - 2a
Next, combine like terms: 4a + 7b = 12
Isolate 4a by subtracting 7b from both sides:
4a = 12 - 7b
Finally, divide both sides by 4:
a = 3 - (7/4)b
When Larry tried to teach his dog Allegra to speak, he gave him 1 sausage - and he barked once. When he
gave him 2 sausages, he barked twice. Then he gave him 3 sausages, and he barked three times.
Larry predicted that Allegra would bark four times if he gave him 4 sausages.
What type of reasoning did Larry use to make his prediction?
A. Deductive reasoning
B. Inductive reasoning
C. Indirect reasoning
D. Circular reasoning
Answers
In case of : Allegra barking n = 4 times, when given 4 sausages - Inductive Logic is used.
Given : Allegra barks once & twice & thrice, when Larry gives him 1 & 2 sausages respectively.
So, later he assumes that he would bark 4 times, if given four sausages
Deductive Reasoning is when conclusion related to particular is drawn, based on general universal. Eg : All men are mortal, Ram is a man. Ram is mortal. Inductive Reasoning is when a generalised conclusion is drawn, based on specific case. Eg : Law of gravity based on apple falling. Allegra's case of barking n times for n sausages (1, 2,3 ...) is further generalised for other positive numbers & hence 4. Indirect Reasoning relates two events. If A is true leads to B is true, then B is false implies A has also been false. Circular Reasoning is a logical fallacy of beginning with an already assumed true statement.To learn more, refer https://brainly.com/question/2848937?referrer=searchResults
Mrs. Goldstein is building a new house. She creates a scale drawing of the house on a piece of paper. The scale is 1cm = 5.5ft. The scale drawing of the house is a RECTANGLE and it measures 15cm by 25cm. What is the AREA of her house?
Answers
Answer:11343.75 feet
Step-by-step explanation:
so you do 15 x 5.5 and then 25 x 5.5 then you times the answers of the two and you get your answer
this should be right.
Hoped this helped
HELP PLEASE DIJDIDJD IM NOT THAT SMART
here's the question
Mr. Aguirre rented an apartment, The security deposit was 40% of one month's rent. If the security deposit was $200, how much money does one month's rent cost?
I have to put the answer in a place value.
Answers
Answer: 500
Step-by-step explanation:
200 is 40% of 500
Jenny counted the coins in her bank.
She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?
A.
21
B.
64
C.
200
D.
216
Answers
Answer:
Step-by-step explanation:
its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.
Answer: D.
Step-by-step explanation:
52x4=208
Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels
208+8=216
We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters
I hope this helps
Hopefully it's brainlist
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1:3
Step-by-step explanation:
1 square is to three triangles
Answer:
4:1
Step-by-step explanation:
Simplify. 14 can go to 4, 4 can go to 1. Therefore: 4:1 ratio.
11.
Simplify the expression.
(10 - 4² - 4
Plz help
Answers
The equation simplified gives you the answer of -10
4x+16= 64, solve for x
Answers
Answer:
x=12
Step-by-step explanation:
4x+16=64
to isolate x, take 16 from both sides
4x+ 16(-16)=64-16
4x=48
divide 4 on each side
4x/4=x
48/4=12
x=12
The solution of the equation 4x+16= 64 is x = 12.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
For this case, we've to solve for x, the equation [tex]4x + 16 = 64[/tex]
Subtracting 16 from both the sides:
[tex]4x + 16 - 16 = 64 - 16\\4x + 0 = 48\\4x = 48[/tex]
4x is actually 4 times x, and is written in short, where the multiplication sign is hidden. This is usually done when variables like x,y are there.
Dividing both the sides by 4, we can get x on one side, and rest of the constant values on the other side.
[tex]\dfrac{4x}{4} = \dfrac{48}{4}\\\\1 \times x = 12\\x = 12[/tex]
(since 1 times any number is that number itself, and as x represents a number, so we got 1 times x =x).
Thus, the solution of the equation 4x+16= 64 is x = 12.
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how many solutions does 2(4x+5)=8x+8
Answers
Answer:
Step-by-step explanation:
Its no soluction.
Find the mean, median, and mode(s) of the data with and without the outlier.
45, 52, 17, 63, 57, 42, 54, 58
The part that I got confused was the outlier
Answers
A company with 10,000 employees would like to know whether their employees think that they are paid enough. Do you think asking the question to 200 employees from the same department is most representative of all the employees? Explain your reasoning.
Answers
Answer: It is not.
Step-by-step explanation:
The salaries paid to the various departments of a company are usually different as some departments get paid more than others. For instance, in a manufacturing company, the R&D department would on average, get paid more than members of the Cleaning department.
Asking members of only one department therefore, about their pay satisfaction would not bring about a reasonable result because it would not be indicative of the thoughts of members of the other departments who are not being paid the same.
If sintheta = cos theta then the value of acute angle is
Answers
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
Someone please help me ! Its past due and Ive been busy.. D:
( I didnt mean to click the first answer lol, sorry! <3 )
Answers
Answer:
It's okay the first answer is right, $0.15
The store makes $4.20 off the rope
Step-by-step explanation:
What is the slope of the line through the following points?
(1,3) and (-2,-1)
Answers
Answer:
4/3
Step-by-step explanation:
If you use the slope formula you should get 4 over 3 (4/3)
What is the factored form of 25x²-64?
Answers
Answer:
25x²-64(5x)²-8²(5x-8)(5x+8)hope it helps.
List 3 responsibilities that a consumer has when making a purchase.
Answers
Answer:
check receipt, know the return policy, read the fine print.
Step-by-step explanation:
The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.
Responsibility of a ConsumerEvery consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes
check the receipt of purchase know the return policyread the fine print.When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.
Learn more on responsibility of a consumer here;
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Brent runs around a football field ,14m long and 12m inside. How much metre does Brent need in two laps
Answers
Answer:
Distance cover by Brent in 2 Lap = 104 meter
Step-by-step explanation:
Given:
Length of football field = 14 m
Width of football field = 12 m
Find:
Distance cover by Brent in 2 Lap
Computation:
Distance cover by Brent in 2 Lap = 2 x Perimeter of rectangular field
Perimeter of rectangle = 2[l+b]
Perimeter of rectangular field = 2[14 + 12]
Perimeter of rectangular field = 2[26]
Perimeter of rectangular field = 52 m
Distance cover by Brent in 2 Lap = 2 x Perimeter of rectangular field
Distance cover by Brent in 2 Lap = 2 x 52
Distance cover by Brent in 2 Lap = 104 meter
HELP ME NOW PLEASE................
Answers
Don’t really get these very much. Can anyone help ?
Answers
Answer:
23) [tex]g[/tex] has an amplitude greater than the period of [tex]f[/tex]/Both lines have the same period/There are no shifts of any kind between both lines.
24) Both lines have the same amplitude/[tex]g[/tex] has a period less than period of [tex]f[/tex]/There are no shifts of any kind between both lines.
25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between [tex]f[/tex] and [tex]g[/tex].
26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between [tex]f[/tex] and [tex]g[/tex].
Step-by-step explanation:
We proceed to describe succintly all differences and simmilarities between [tex]f[/tex] and [tex]g[/tex] in each case:
23) [tex]g[/tex] has an amplitude greater than the period of [tex]f[/tex]/Both lines have the same period/There are no shifts of any kind between both lines.
24) Both lines have the same amplitude/[tex]g[/tex] has a period less than period of [tex]f[/tex]/There are no shifts of any kind between both lines.
25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between [tex]f[/tex] and [tex]g[/tex].
26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between [tex]f[/tex] and [tex]g[/tex].
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time
of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn
without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15
seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are
calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-
sized bag. Which of the following best describes the standard deviation of the sampling distribution of 5-7 ?
1 second
5 seconds
25 seconds
35 seconds
Answers
Answer:
3
Step-by-step explanation:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
What is Central Limit Theorem:?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.
here, we have,
Given,
In the question:
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
n = 4 , σ = 20, thus:
s = σ /√n
= 20/√4
= 10
Thus, the correct answer is:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
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whats y⁵ ×y im confused lol pls respond to this
Answers
Answer:
5y^5
Step-by-step explanation:
there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify
answer this question!!! :)
Answers
Answer:
X = 1
Step-by-step explanation:
You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1
Hope this helped
-A3miz
Age:13
Then simplify 18 over 3 to 6
Then subtract 5 from both sides
Last simplify 6-5 to 1
Which of the following is equivalent to the expression shown below
Answers
Answer:
v^3/2
Step-by-step explanation:
(sqrt(v))^3
sqrt(v)^3
v^3/2
The seventh grade class is putting on a variety show to raise
money. If they charge $15 for each ticket, how many tickets de
they need to sell in order to raise at least $1000?
Answers
11y + 19x - 5y +3x= pleas e show working please
Answers
Answer:
11y + 5y = 16y and 19x + 3x= 22x so 16 y +22x is your answer
Step-by-step explanation:brainliest plzzzz
Mallory works 20 hours a week as a website designer and earns $42.50 per hour. If Mallory saves
1
2
of her total website-design earnings each week, how much will she save in 4 weeks?
Answers
42.5 * 20 = 850
So she earns $850 per week.
Mallory saves half of that amount she would have $425 per week.
In 4 weeks she would have:
425 * 4 = 1700
Mallory will save $1,700 in four weeks.
Answer:
I believe it's 17000
Step-by-step explanation:
42.50 x 20 = 850
850 x 5 (5 business days) = 4250
4250 x 4 (4 weeks) = 17000
Given m∥n, find the value of x.
Answers
Answer:
x = 32
Step-by-step explanation:
these angles are same-side-exterior angles which are supplementary
therefore you can add them together and set equal to 180 to solve for 'x'
2x - 16 + 4x + 4 = 180
6x - 12 = 180
6x = 192
x = 32
Find the diameter of a circle with a circumference of 63 feet. Round your answer to the nearest hundredth.
The diameter is about__
feet.
Answers
Answer:
20.05feet
Step-by-step explanation:
Given data
Circumference= 63feet
The expression for circumference is
C= 2πr
substitute
63= 2*3.142*r
63= 6.284r
r= 63/6.284
r=10.025
Hence the diameter is
=10.025*2
=20.05feet
write an equivalent expression in standard form.
(2x + 5)(x + 1)
Answers
step by step
The equivalent expression in standard form is 2x² + 7x + 5.
What is Expression?An expression is combination of variables, numbers and operators.
To write the expression in standard form, we need to simplify it by multiplying the two factors using the distributive property of multiplication:
(2x + 5)(x + 1) = 2x² + 2x + 5x + 5
Combining like terms, we get:
(2x + 5)(x + 1) = 2x² + 7x + 5
Therefore, the equivalent expression in standard form is 2x² + 7x + 5.
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Pls help, question on picture, will do brainliest if right
no links!!!!!
Answers
sin(x)12/15