Answer:
GB is 15 units
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The Centroid is a point of triangle where all 3 medians intersect
In this problem point G is the centroid of the triangle FDE
FA, EB and DC are medians of the triangle FDE.
Remember that centroid divides the median in 2:1
FA is a is median so FG:GA=2:1.
Find the value of x
[tex]\frac{FG}{GA}=\frac{2}{1}\\\\\frac{5x}{x+9}=\frac{2}{1}\\\\5x=2x+18\\\\5x-2x=18\\\\3x=18\\\\x=6[/tex]
Find the value of GB
GB=2x+3
substitute the value of x
[tex]GB=2(6)+3=15\ units[/tex]
if r(x) = 3x - 1 and s(x) = 2x , which expression is equivalent to (r/s) (6)
Step-by-step explanation:
(r/s)(x)=3x-1
2x
(r/s)(6)=18-1/12
=17/12
What is 5.5 divided by 3.5
5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.
Hope this helped!
Nate
What is 8 3/8 + 10 1/3 =
Answer:
18 17/24
Step-by-step explanation:
for further reasoning how i got the awnser ask in the comments
Answer:18.7
Step-by-step explanation:
Jackson is a 25 year old college student whose parents contribute to his support. His parents may claim him as a tax dependent in 2011 as long as They don't turn his bedroom into a home office. he makes under $500. he is under 30. they contribute more than half of his support for the year.
Answer:
Bot
Step-by-step explanation:
Choose the correct expression to represent the situation: The cost of a telephone call is $1.25 plus 50 cents times the number of minutes (m). *
1.25 + 0.50m
1.25m + 0.50
1.25 + 0.50 + m
Answer:
1.25 + 0.50m
Step-by-step explanation:
This is because 1.25 is the call fee plus 50 cents per minute, the word per is a key word for multiplication there for 50 times m so the equation is $1.25 fee + 0.50m
In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3 degrees for 9 hours straight. What is the total temperature change during the 9 hours?
Answer:
27
Step-by-step explanation:
3 x 9 = 27
you just multiply the two. (if it asks for temperature after the hours just subtract)
The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)
Seth traveled 1 mile in 57.1 seconds how many miles per hour does he drive
one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds. How many miles does Seth travel in 3600 seconds?
[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]
Answer:
In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:
57.1 seconds / 60 = .952 minutes
Now we can change our minutes to hours:
.952 minutes / 60= .016 hours
Now to find miles per hour we divide the miles by our time:
1 mile / .016 hours = 63.04 mph
Simplify 3 1/2 x 1/14
Answer:
0.25 or 1/4
Step-by-step explanation:
3 1/2 x 1/14 = 0.25
Answer:
-9 /14
= -0.6428571
Step-by-step explanation:
so basically, you simplify it by turning the mixed number into an improper fraction and then multiplying it (=-9/14) then, divide numerator by denominator and you have your answer! -0.6428571!!!
A recipe requires 3 cups of sugar. You can only measure using 2/5 cups. how many 2/5 cups are needed for the recipe
To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.
To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:
Determine the total amount required: The recipe requires 3 cups of sugar.
Determine the measurement of the cup you have: You can measure using only 2/5 cups.
Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.
This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.
RJ read 40 pages of gis book in 50 minutes. How many pages can I read in 80 minutes?
Answer:
64 pages
Step-by-step explanation:
40 pg = 50 min
8 pg = 10 min
64 pg = 80 min
4π=w−6π???????????????????
537.05 is what percent of 467
Answer:
115%
Step-by-step explanation:
Set up the equation like this:
537.05 / 467 = x / 100
Cross multiply
467x = 53705
x = 115
What is the domain of the function on the graph?
Dall real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to -2
all real numbers greater than or equal to -3
Answer:
All real numbers greater than or equal to -3.
Step-by-step explanation:
The domain of a function is defined as the x values that are a part of the function. Therefore, looking at the graph, we see that the domain is all real numbers greater than or equal to -3, because the function doesn't contain x values less than -3.
In circle O, what is m? 50° 55° 125° 250°
Answer:
The measure of angle JAM is 55°
Step-by-step explanation:
The correct question is
Find the measure of angle JAM
See the attached figure to better understand the problem
step 1
Find the measure of angle JAK
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠JAK=(1/2)[arc KJ+arc LM]
substitute the given values
m∠JAK=(1/2)[170°+80°]=125°
step 2
Find the measure of angle JAM
we know that
m∠JAK+m∠JAM=180° ------> by supplementary angles
we have
m∠JAK=125°
substitute
125°+m∠JAM=180°
m∠JAM=180°-125°=55°
Answer:
The answer is 55
Step-by-step explanation:
a solid wooden cone with diameter 14cm and vertical length 24cm is vertically cut into two equal halves. one half is to be covered by paper at rate of rs 7per sq. cm find total cost of paper required?
Answer:
V = 392[tex]\pi[/tex]
Step-by-step explanation:
The volume of a cone is: V = [tex]\frac{1}{3} \pi r^{2} h[/tex]
diameter = 14 h = 24
diameter = 2r ---> r = 7
V = [tex]\frac{1}{3} \pi (7)^{2} (24)[/tex]
V = [tex]\frac{1}{3} \pi (49)(24)[/tex]
V = [tex]\frac{1}{3} \pi (1176)[/tex]
V = 392[tex]\pi[/tex]
4x-9= 3.5-9 please help!
Answer:
x = 7/8
Step-by-step explanation:
7/8 of 4 is 3.5
4x-9 = 3.5-9
An artist who was famous for his lifelike depictions of the human body during the Renaissance was
Answer:
Michelangelo Buonarroti was this artist.
Answer:
yes, the correct answer is D: Michelangelo
Step-by-step explanation:
I got it right in my quiz in edg 2020
hope this helps :)
Solve the following system of equations graphically on the set of axes below. y=2x−5.
3x+4y=24
Answer:
all work is shown and pictured
Type a definition for the following word.
fraction
What is 2 19 over 20 terminating or repeating
Answer:
terminating
Step-by-step explanation:
20 is a factor of a 100
20 × 5 = 100
therefore 19 × 5= 95
So in decimal form it's 2.95
3(3m - 2) -3 =36 step by step
Answer:
Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5
Julia asked to evaluate the expression four to the power of -3 before she can join her classmates outside. She decides to use the value of the expression to help choose which activity to do. If the value is greater on she’ll play basketball. Value is equal to one, she play soccer. If the value is less than 1to play tennis. Which activity is Julia going to do today?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value is less than 1.
She will play tennis today.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]4^{-3}[/tex]
We will evaluate this expression.
[tex]4^{-3}[/tex] can be written as [tex]\frac{1}{4^{3} }[/tex]
This means,
= 1/(4 x 4 x 4)
= 1/64
= 0.016
This is less than 1.
We have,
If the value is greater than 1, she’ll play basketball.
If the value is equal to 1, she plays soccer.
If the value is less than 1, she will play tennis.
The value is less than 1.
Thus,
The value is less than 1.
She will play tennis.
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The expression 'four to the power of -3' equals 0.015625. Since this value is less than 1, Julia will play tennis.
Explanation:To evaluate the expression four to the power of -3, we have to understand how negative exponents work. A negative exponent means to divide 1 by the base raised to the power of the absolute value of the exponent. So 4^-3 is equivalent to 1/(4^3).
Let's do the maths:
4^3 = 4 * 4 * 4 = 64.
Then, 1/64 = 0.015625.
Therefore, four to the power of negative three is 0.015625.
Julia will choose activities based on the value of the expression - since the value is less than 1, in this case, she would play tennis.
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What is the remainder when 16,055 is divided by 16? (Input numeric values only)
Answer:
16055=16000+55
16000mod16=0
55mod16=7
(7+0)mod16=7
its 7
To convert a distance of 12,000 feet to miles, which ratio could you multiply
by?
5280 feet
1 mile
1 mile
5280 feet
O c. 52podle
1 foot
5280 miles
D
12 inches
1 foot
Answer:
1 mile = 5280 feet
Step-by-step explanation:
To convert a distance of 12,000 feet to miles, we use this ratio:
1 mile = 5280 feet
? = 12,000 feet
Cross multiplying gives;
[tex]\frac{12,000}{5,280}[/tex] × 1 mile = 2.272727273 miles.
Answer:
B.
Step-by-step explanation:
Chris has 2 pairs of black socks, 4 pairs of red socks, and 18 pairs of white socks in a dresser drawer. What is the probability that he will choose a pair of white socks, without looking in the drawer first?
75%
0.33
50%
Answer:
75%
Step-by-step explanat
Find the total pairs:
2 +4 +18 = 24 total pairs.
18 pairs are white.
The probability is the number of white over the total number of pairs:
18/24 = 0.75 = 75%
The answer is 75%
How do you get 40y from the difference of 2 squares with the problem (5y+4+3x)(5y+4-3x)? I understand distribution method. I don't know where the 40y comes from using the special product method.
Answer:
Step-by-step explanation:
(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )
by identity : (a+b)(a-b) = a² - b²
in this exercice ; a = 5y+4 and b = 3x
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 per square foot, what is the total cost of putting carpet in both rooms?
Answer:
total cost of putting carpet in both rooms is $3692.42
Step-by-step explanation:
given data
living room length = 24 feet
living room width = 15 feet
dining room is square so length and width will be same
dining room length = 13 feet
dining room width = 13 feet
carpet costs = $6.98 per square foot
to find out
what is the total cost of putting carpet in both rooms
solution
first we find the total area of both room that is
area of living room = length × width .................1
area of living room = 24 × 15
area of living room = 360 feet² ...........................2
and
areas of dining room = length × width
area of dining room = 13 × 13
area of dining room = 169 feet² ...............................3
so total area = add equation 1 and 2
total area = 360 feet² + 169 feet²
total area = 529 feet²
and
total cost of putting carpet in both rooms are = total area × carpet costs .................4
put here value
total cost of putting carpet in both rooms = 529 × $6.98
total cost of putting carpet in both rooms =$3692.42
The calculated total square footage that needs carpeting is 529 square feet. At $6.98 per square foot, the total cost of carpeting both rooms would be $3,690.42.
Explanation:The subject of this problem is mathematics, specifically the topic of area calculations and cost analysis. First, calculate the area for both rooms. The area of a rectangle is given by the formula length x width, so the area of the living room is 24 feet x 15 feet which equals 360 square feet. As the dining room is a square, its area is side x side, thus 13 feet x 13 feet equals 169 square feet.
Then, add these to get the total square footage that will need carpeting, which is 360 + 169 = 529 square feet.
Lastly, multiply this total area by the cost per square foot for carpeting. This gives $6.98 x 529 square feet = $3,690.42. So, the total cost of carpeting both rooms would be $3,690.42.
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What is the answer for this
If 7 ounces of cola costs $.59. How much should 19 ounces costs?
Answer:
$5.31
Step-by-step explanation:
If you times $.59 seven times you will get $4.13.
Then, you will have to add $.59 two times.
Finally, you will get $5.31 .
The cost will be $1.60 in the 19 ounces if the 7 ounces of cola costs $.59.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
The proportion is a nature of a variable to another for example if we say x ∝ y then it will be a direct relation instant if we say x ∝ 1/y then it will be inverse relation.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
7 ounces ⇒ cost $0.59
Divide by 7 into both sides
7/7 ounces ⇒ cost $0.59/7
1 ounce ⇒ cost $0.084
Multiply both sides 19
19×1 ounce ⇒ cost $0.084 × 19
19 ounce ⇒ cost $1.60
Hence in 19 ounces of cola, it will cost $1.60.
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5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
x. It would be helpful to draw two congruent triangles and carefully label the three vertices on each.
Answer:
The value of x is 7
Step-by-step explanation:
we know that
If two figures are congruent, then the corresponding angles and the corresponding sides are equal
In this problem
Triangles ABC and DEF are congruent
ABC≅DEF
therefore
AB=DE ----> equation A
AC=DF ----> equation B
BC=EF ----> equation C
Substitute the given values in the equation B
[tex]8=2x-6[/tex]
Solve for x
[tex]2x=8+6[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
therefore
The value of x is 7
The draw in the attached figure
In congruent triangles ABC and DEF, given side lengths in ABC and the length of side DF as 2x-6, we set this equal to the corresponding length in triangle ABC. Solving for x gives the result x=7.
Explanation:The subject of this question is Mathematics, specifically, the principle of congruent triangles in geometry. If two triangles are congruent, then their corresponding sides are equal. In the given congruent triangles, ΔABC and ΔDEF, AB corresponds to DE, BC to EF, and AC to DF. The length of DF is given as 2x-6, and its corresponding side AC in ΔABC is given as 8 units. Thus, we set 2x-6 equal to 8. Solving for x, we add 6 to both sides of the equation, resulting in 2x = 8 + 6. This simplifies to 2x = 14. Finally, dividing both sides by 2 results in x = 7.
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