need help please I don't have a long time!!
Answer:
with what
Step-by-step explanation:
Use the following diagram for questions 21-24 in which G is the centroid of AABC, FC=35, AG=42, BF=57, and
DG=14.
Find AC
Find BG
Find GC
Find AE
G is the centroid of triangle ABC, AC = 85.5, BG = 38, GC = 23.33 (rounded to two decimal places), AE = 11.67 (rounded to two decimal places).
Describe Triangle?A triangle is a closed, two-dimensional shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry and is often used in various mathematical and scientific contexts.
The three sides of a triangle are usually named using lowercase letters a, b, and c, and the three angles are named using uppercase letters A, B, and C, with the opposite angles and sides having the same letter. The sum of the angles in a triangle is always 180 degrees, and this property is known as the Angle Sum Theorem.
Triangles can be classified based on their side lengths and angles. Based on the side lengths, triangles can be classified as:
Scalene triangle: A triangle in which all three sides have different lengths.
Isosceles triangle: A triangle in which two sides have the same length, and the third side has a different length.
Equilateral triangle: A triangle in which all three sides have the same length.
We can start by using the fact that G is the centroid of triangle ABC, which means that the medians from each vertex intersect at G. Therefore, we know that:
FC = 2/3 * EA (since FC is a median and EA is the corresponding segment of the opposite side)
AG = 2/3 * DC (since AG is a median and DC is the corresponding segment of the opposite side)
BF = 2/3 * AC (since BF is a median and AC is the corresponding segment of the opposite side)
We can use these relationships to find the lengths of AC, BG, GC, and AE:
AC = 3/2 * BF = 3/2 * 57 = 85.5
BG = 2/3 * AG = 2/3 * 2/3 * AC = 4/9 * 85.5 = 38
GC = 2/3 * FC = 2/3 * 35 = 23.33 (rounded to two decimal places)
AE = EA/2 = 2/3 * FC/2 = 1/3 * 35 = 11.67 (rounded to two decimal places)
Therefore, the answers are:
AC = 85.5
BG = 38
GC = 23.33 (rounded to two decimal places)
AE = 11.67 (rounded to two decimal places)
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Prepare an amortization schedule for a three-year loan of $57,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan?
To repay this loan in three years we must make annual payments of $23,560.
How to calculate how much we should pay annually?To calculate the payments that we must make each year, taking into account the 8% interest, we must carry out the following operations:
$57,000 ÷ 3 = 19,000To calculate the interest equivalent to 8%:
$57,000 ÷ 100 = $570$570 × 8% = $4,560So, to calculate the total per year that we must pay, we must add both values:
$19,000 + $4,560 = $23,560Finally, to know how much we pay in total for the interest on the loan, we multiply the value of the interest by the years that the loan lasted:
$4,560 × 3 = $13,680
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Find the mean, median and mode of the data set. If there is no mode, enter the words "no mode". 140, 128, 124, 137, 143, 126, 130, 136
Answer:
mode = no mode. median = 133, mean = 133
Step-by-step explanation:
mode = most common value. all of the values appear once. so there is no mode.
median = arranging the data in numerical order, then finding middle value.
there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).
median is halfway between 130 and 136. that is 133.
mean = add up the values/ how many there are
adding them up, you get 1064. there are 8 values.
mean = 1064/8 = 133
compare these two fractions
Answer:
4/6 is more than 5/12
Step-by-step explanation:
First, set the denominators of the fractions equal to eachother to make it easier to compare. mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12. Since 8/12 is more than 5/12, 4/6 is more than 5/12.
Answer:
5/12 is greater than 4/6
Step-by-step explanation:
using the butterfly method, multiplying 12 x 4 = 48
and 6x5=30 48 is more than 30
48 Stands for 5/12
30 stands for 4/6
i dont understand how this question works so therefeore i dont know how to do it, can anyone help?
is simply changing from percentage form to a decimal form usually, but the fractional form works the same. Check the picture below.
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Please help, thanks!
What is the range of the conic section?
(yl-3≤y≤3)
Answer:
1the answer for this is easy it is 4.4
Jan bought a toy from the qvc home shopping network that was discounted 20% if she saved 15$ what was the original price of the toy
The original price of the toy was $75.
The toy was discounted 20% and Jan saved $15. The discount is the savings which means that 20% of the original price is $15.
Assuming the original price is x, the expression to find it would be:
15 = 20% × x
15 = 0.2x
x = 15 / 0.2
x = $75
The original price of the toy was therefore $75
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What is the factored form of x2 – X-2?
0 (x - 2)(x + 1)
(x + 2)(x + 1)
(x - 2)(x - 1)
0 (x + 2)(x - 1)
Answer:
( x-2) (x+1)
Step-by-step explanation:
x^2 – x-2
What two numbers multiply to -2 and add to -1
-2 * 1 = -2
-2 +1 = -1
( x-2) (x+1)
Answer:
(x+2)(x-1)
Step-by-step explanation:
x^2-x-2
(x^2+2x)(-x-2)x(x+2)-1(x+2)(x+2)(x-1)Probability
See picture attached
Answer:
The answer is down below
Step-by-step explanation:
G={2,3,4}
W={1,5}
Total cards=1,2,3,4,5
let P(x) be G
Probability of X=G/Total
P(x)=3/5
P(not x)=2/5
X={2,3,4}
not X={1,5}
Solve for X! Please help
The two given angles are vertical angles which mean they are the same:
9x + 72 = 4x + 112
Subtract 72 from bot sides:
9x = 4x + 40
Subtract 4x from both sides:
5x = 40
Divide both sides by 5:
X = 8
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
Answer:
Explained below.
Step-by-step explanation:
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
The number of employees selected is, n = 20.
Every employees response is independent of the others.
Each employees response is either: Yes or No.
The probability of an employee responding as "yes" is, p = 0.31.
Thus, the experiment being performed is a binomial experiment.
So, the probability distribution for the number of employees believing their company president has low ethical standards can be modelled by a binomial probability distribution.
But the number of years of experience cannot be modelled by a binomial probability distribution. Because every employee will have different answer for this question.
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $10 cutting grass, he had $32. If the equation one half times x plus 10 equals 32 represents the scenario, how much did he start with in his savings? $11 $21 $44 $84
The amount Chris started with in his savings is $44. option C
EquationAmount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32
subtract 10 from both sides1/2x = 32 - 10
1/2x = 22
divide both sides by 1/2x = 22 ÷ 1/2
x = 22 × 2/1
x = $44
Therefore, the amount Chris started with in his savings is $44. option C
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Answer:
Step-by-step explanation:
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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please help 30 points
And please tell me how you did it
The unknown angle in the cyclic quadrilateral is as follows:
m∠CML = 109 degrees
How to find an angle in a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.
The sum of angles in a cyclic quadrilateral is 360 degrees.
Therefore, let's find m∠CML as follows:
Using the arc angle and opposite angle of a quadrilateral theorem,
6x + 25 = 1 / 2 (7x + 14 + 106)
6x + 25 = 1 / 2(7x + 120)
6x + 25 = 7 / 2 x + 60
6x - 7 / 2 x = 60 - 25
6x - 3.5x = 35
2.5x = 35
divide both sides by 2.5
x = 35 / 2.5
x = 14
Therefore,
m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees
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Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong
KM, JK, PK, and MJ are shown on the diagram.
Then the correct options are B, C, D, and F.
Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Part III: If a bottle of dishwashing detergent cost $0.31 in 1950, and if the price of
dishwashing detergent increased at the same rate as the CPI from 1950 to 1970,
what was the CPI to the nearest tenth in 1950?
the CPI to the nearest tenth in 1950 was 24.06.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, a bottle of dishwashing detergent cost $0.31 in 1950 and In 1970, a bottle of dishwashing detergent cost $0.50
Since CPI, Consumer Price Index measures the overall change in consumer prices based on a representative basket of goods and services over time.
The price of dishwashing detergent increased at the same rate as the CPI from 1950 to 1970.
So,
0.50 / 0.31 = CpI for 1970/ CPI for 1950
Since CPI in 1970 is 38.80
CPI in 1950 = 0.62 * 38.80
CPI in 1950 = 24.056
Therefore, the CPI to the nearest tenth in 1950 was 24.06.
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Complete question:
In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.
If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?
Please answer this correctly without making mistakes
Answer:
It would be 131.95 if they want the answer in pi it would be 42 pi
Step-by-step explanation:
I need help! Please include an explanation.
Answer: c. 60
Each interior angle = 720/6 = 120°.
When the hexagon is extended create an exterior angle, its measure is given by;
x + 120 = 180°.
x = 180° - 120°
x = 60°
5 t-shirt cost R120.how much will 9t-shirt cost
Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
Find the sum of -8x^{2}+9x−8x 2 +9x and -6x^{2}+10x−6x 2 +10x.
Answer:
-14x² +19x
Step-by-step explanation:
You want the sum of the expressions (-8x² +9x) and (-6x² +10x).
SimplificationThe sum is found by adding like terms: terms with the variable to the same power.
(-8x² +9x) + (-6x² +10x)
= (-8 -6)x² +(9 +10)x
= -14x² +19x
find the difference of (-10x^2 + 5x -3) and (4x^2 + 6x - 7)
Answer:
-14x² - x + 4
Step-by-step explanation:
(-10x² + 5x - 3) - (4x² + 6x - 7)
= (-10x² + 5x - 3) - (+4x²) - (+6x) - (-7)
= (-10x² + 5x - 3) -4x² -6x +7
= -10x²-4x² +5x-6x -3+7
= -14x² - x + 4
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
The answer is in the images
Step-by-step explanation:
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How many pounds of butterfat are in one gallon of whole milk that weighs approximately 8.6 lb. And contains about 4% butterfat
Answer:
Below
Step-by-step explanation:
8.6 lb x 4 % fat = 8.6 x .04 = .344 lb fat
if a clock shows it is 3 o'clock, how could you describe the smaller angle made my the two hands of the clock? solve this problem any way you choose
The smaller angle made by the two hands of the clock at 3 o'clock is 90 degrees.
What is an angle?A figure known as an angle is created by two rays or line segments that meet at a place known as the vertex of the angle. The sides or legs of the angle are other names for the rays or line segments.
According to question:To determine the smaller angle made by the two hands of a clock when it is 3 o'clock, we can use the following formula:
angle = |(11/2) * m - 30h|
where:
m is the number of minutes past the hour (in this case, since it is 3 o'clock, m = 0)
h is the hour (in this case, h = 3)
By using this formula, we get:
angle = |(11/2) * 0 - 30(3)| = |0 - 90| = 90
Therefore, the smaller angle made by the two hands of the clock at 3 o'clock is 90 degrees.
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