Answer:
17:14 or 17 to 14
Step-by-step explanation:
since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
To know more about triangle click on,
https://brainly.com/question/2773823
#SPJ1
Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?
PLEASE ANWSER SERIOUSLY
Answer:
im pretty sure its 56.25 cus 45= 80% of 56.25
Step-by-step explanation:
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]
simplify if possible 3t+2g-t-3g
Answer:
2t-g
Step-by-step explanation:
Collect like terms
3t-t= 2t
2g-3g= -g
2t-g
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
When 80 is decreased by 15%, the new number is
Answer:68
Step-by-step explanation:
Percentage decrease = 15% × 80
New value =
80 - Percentage decrease =
80 - (15% × 80) =
80 - 15% × 80 =
(1 - 15%) × 80 =
(100% - 15%) × 80 =
85% × 80 =
85 ÷ 100 × 80 =
85 × 80 ÷ 100 =
6,800 ÷ 100 =
68
−9,000÷3=−3,000 What does -3,000 tell me
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
HELP PLZ
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answer:
the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C
Step-by-step explanation:
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
Help pleaseeeeeeeeee
Answer:
The value for X is 25
Step-by-step explanation:
I hope this helps you out!
Where would be located on the number line below?
between P and Q
between Q and R
between M and N
between N and P
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?
Answer:
Length of ladder =L =15
Distance from wall = D =9
Height on wall = H =??
Pythagoras equation L*L = D*D + H*H
15×15= (9×9) + H×H
225-81 = 144 =HxH
H= 12 feet.
I am right or wrong
please check
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
HEELLPPP!!!!! fastttt plzzzzz!
The sales for products sold at an electronic store are below. What percent of the products sold were speakers?
Answer:
6.00%
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3(x-2)+1=
I have to turn this in, in 10 minutes. Help.
Answer:
3x-6+1
Step-by-step explanation:
I know algebraaaaaa
9 ⅚ + 1 ¼ + ___________ = 14
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917
If you tell me all the right answers I will mark you brainliest!!
Answer:
11 is natural, real, integer and whole number.
1% is irrational and real, integer.
√25 = 5 hence it's natural, real, integer and whole
√50 is rational and real, integer.
1.333… is natural, real and integer
2.3×10^5 is natural, real, integer and whole number.
which of the following is a solution to the linear function y = 4/5x+7
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field trip. The total cost for the buses was $60. What was the cost of each theater ticket? Pick the correct equation and then solve for the cost of each theater ticket.
Answer: 525
Step-by-step explanation:
450+15+60=525
Answer:
The cost of each ticket is $30.
Step-by-step explanation:
$450 is the total cost, so to get individual ticket prices you need to divide by the total number of drama club members.
450 ÷ 15 = 30
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1