The length of AC is approximately 10.85 cm.
To find the length of AC, we can use the Pythagorean theorem.
According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:
c^2 = a^2 + b^2
In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:
AC^2 = AB^2 + BC^2
AC^2 = (10.2 cm)^2 + (3.7 cm)^2
AC^2 = 104.04 cm^2 + 13.69 cm^2
AC^2 = 117.73 cm^2
To find the length of AC, we take the square root of both sides:
AC = sqrt(117.73 cm^2)
AC ≈ 10.85 cm
Therefore, the length of AC is approximately 10.85 cm.
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In the rectangle below, EI = 2x+6, FI= 5x-6, and m ZIFE = 490.
Find EG and m LIGF.
E
F
Guy
MZIG
H
G
Answer:
gyufigaruofhasidjfdskcm
Step-by-step explanation:
Convert 63.5 inches to centimeters. There are 2.54 centimeters in every inch.
Answer:
161.29
Step-by-step explanation:
63.5 x 2.54 = 161.29
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answer:
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
x = amount of hours worked after school
y = amount of hours worked on saturday
x + y = 13 or x = 13 - y
and
3x + 4y = 43
plug:
3 · (13 - y) + 4y = 43
39 - 3y + 4y = 43
y = 4
plug:
x = 13 - y
x = 13 - 4 = 9
9 hours worked after school and 4 hours worked on saturday
The weight, in pounds, of a baby in the first six months of life can be modeled by the function f(x) = 1.5x +7, where x is the age of the baby
in months. According to this model, what is the weight, in pounds, of a baby at age 5 months?
A. 8.5
B. 12.0
C. 13.5
D. 14.5
To find the weight of a baby at age 5 months, we can substitute x=5 in the given function:
f(5) = 1.5(5) + 7
f(5) = 7.5 + 7
f(5) = 14.5
Therefore, the weight of a baby at age 5 months is 14.5 pounds. Answer: D.
what divided by 6 = 1.2
Answer: 2
Step-by-step explanation:
Answer:
y = 7.2
Step-by-step explanation:
y ÷ 6 = 1.2
y ÷ 6 × 6 = 1.2 × 6
y = 7.2
Which of the following is true? ( not multiple choice)
Answer: A
180-130= <D
50=<D
50+70= 120
180-120=<B
60=<B
m<BCD= 70
m<DBC= 60
70-60=10
Answer:
О A = 10°
Step-by-step explanation:
∡ DBC = 180 - 130 = 50°
∡ DBC + ∡ CBD + ∡ BCD = 180°
50° + 70° + ∡BCD = 180°
∡BCD = 180° - (50°+70°)
∡BCD = 180° - 120°
∡BCD = 60°
Then:
∡BCD - ∡DBC = 60° - 50° = 10°
many psychologists consider the distinguishing feature of adolescent thought to be ability to think in terms of ___.
Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.
During adolescence, individuals begin to develop more advanced cognitive abilities, including the capacity for abstract reasoning and hypothetical thinking.Abstract thinking involves understanding and manipulating ideas and concepts that are not directly tied to concrete objects or experiences. It allows adolescents to consider possibilities beyond immediate reality and to engage in complex reasoning, such as formulating and testing hypotheses or contemplating multiple perspectives.Hypothetical thinking, on the other hand, enables adolescents to mentally explore potential scenarios and outcomes. They can consider "what if" situations, contemplate alternative solutions to problems, and weigh the consequences of different choices.These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.
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Sam decides to build a square garden. if the area of the garden is 9x2 − 24x 16 square feet, what is the length of one side of the garden? (3x 4) feet (3x − 4) feet (4x − 3) feet (4x 3) feet
Using the Factor Theorem, the length of one side of the garden is:
(3x - 4) feet.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:
A = 9x² - 24x + 16.
The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:
\(x_1 = x_2 = \frac{4}{3}\)
Hence the area can be written as:
\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)
Then, to find one side:
9(x - 4/3) = 9x - 12 = 3(3x - 4).
Hence (3x - 4) feet is one side.
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Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
Answer:
A. A = B and B = C
Answer:
A) A=B and B=C
Step-by-step explanation:
4x+7(3x-3)=9-5x show work please
Answer:
x = 1
Step-by-step explanation:
4x+7(3x-3) = 9-5x (equation)
4x+21x-21 = 9-5x (simplify)
25x-21 = 9-5x (combine like terms)
30x-21 = 9 (add 5x to each side)
30x = 30 (add 21 to each side)
x = 1 (divide each side by 30)
the stemplot shows how much money a sample of high school students makes per month. use the stemplot to answer the questions. the mean paycheck is $____. the mean is a ____. this mean paycheck indicates that ______________Student Monthly Paychecks0| 67 85 921| 23 47 81 81 96 982| 13 52 77 873| 254| 59Key: 1|23 = $123
To find the mean paycheck, we'll first calculate the sum of all the paychecks and then divide it by the total number of paychecks.
Sum of paychecks = (0 * 3) + (1 * 5) + (2 * 4) + (3 * 2) + (4 * 1)
= 0 + 5 + 8 + 6 + 4
= 23
Total number of paychecks = 3 + 5 + 4 + 2 + 1
= 15
Mean paycheck = Sum of paychecks / Total number of paychecks
= 23 / 15
≈ 1.5333 (rounded to four decimal places)
The mean paycheck is approximately $1.53.
Since the calculated mean paycheck is between $1 and $2, it falls under the "1" stem. This makes the mean a two-digit number starting with "1." Therefore, the mean is a two-digit number starting with "1."
The mean paycheck indicates that the typical student in the sample makes around $1.53 per month.
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Emily can hit a target with a softball 12 times out of 18 total throws. Based on that rate, what is the approximate probability she will hit the target on her next throw?
answer
dividing the number of successful throws by the total number of throws:
number of successful throws = 12
total number of throws = 18
probability of hitting the target on the next throw = number of successful throws : total number of throws:
probability of hitting the target on the next throw = 12 : 18
hitting the target on the next throw = 0.6667 or 67%
approximate probability of emily hitting the target on her next throw is 67%
Number Machine #1
We've built a machine that follows these instructions:
Subtract 1
Multiply by 3
If we put 6 into this machine, what will come out?
Subtract 1
Multiply by 3
Submit
6
Answer:
6-1=5 times 3 =15
Step-by-step explanation:
True or False. A confidence interval for proportions is used to estimate the population proportion not the sample proportion True False
The statement A confidence interval for proportions is used to estimate the population proportion not the sample proportion is true.
A confidence interval for proportions is a statistical tool used to estimate the range of values within which the population proportion is likely to lie. It is calculated based on the sample proportion, sample size, and a specified level of confidence.
The sample proportion is only used as a point estimate of the population proportion, but the confidence interval takes into account the variability of the sample proportion and provides a range of values that are likely to include the population proportion with a certain level of confidence.
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Veuillez m’aider s’il vous plaît à résoudre cette question merci !
2. Un tableur a permis d'estimer l'évolution du taux de la population urbaine en France,
en pourcentage, par :
1(x)=0,00028x^3 -0,0276x^2 +0,968x+62,5
Lorsqu'on modélise
où x est le nombre d'années écoulées depuis 1960.
une évolution par une
Le rythme de croissance (instantané) du taux est assimilé à la dérivée de t. fonction, il faut que ses
a. Calculer la valeur estimée du taux de la population urbaine en 1968. valeurs, son sens de
Calculer le pourcentage d'erreur par rapport à la valeur effective de ce variation et son rythme
taux en 1968, donnée dans le texte.
de croissance soient
b. Exprimer t'(x), puis "(x) en fonction de .x.
compatibles avec les
c. Justifier que la fonction i est croissante sur [0;+ e[ . Interpréter.
données observées.
d. D'après le modèle, au cours de quelle année le rythme de croissance est-il le plus faible?
Est-ce compatible avec les données du texte ?
e. Expliquer pourquoi, à partir d'un moment, la fonction ne peut modéliser l'évolution du
taux de population urbaine.
Answer:
population and moment ne
Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars
Number of crates
2
4
6
8
Cost ($)
$25
$45
$65
$85
Which equation represents this situation, where x is the number of crates and y is the cost?
10x - y = 5
O2 - 10y = -5
10x - y = -5
O2 -- 10y=5.
Bob's paycheck (X) was $250.00. He put 20% of his paycheck into his retirement account. Which expression shows how much money he has left?
A. .80 ($250)
B. $250 - .20 ($250)
C. X - .20(X)
D. All of these represent what Bob has left
The amount left is an illustration of equivalent expressions.
All three expressions can be used to represent the amount left
The given parameters are:
\(\mathbf{Paycheck =X}\)
\(\mathbf{Savings =20\%}\)
The amount left is:
\(\mathbf{Amount = Paycheck \times (1 - Savings)}\)
So, we have:
\(\mathbf{Amount = X\times (1 - 20\%)}\)
Substitute 250 for A
\(\mathbf{Amount = 250 \times (1 - 20\%)}\)
Express percentage as decimal
\(\mathbf{Amount = 250 \times (1 - 0.20)}\)
\(\mathbf{Amount = 250 \times 0.80}\) ---- this represents option (A)
Expand \(\mathbf{Amount = 250 \times (1 - 20\%)}\)
\(\mathbf{Amount = 250 - 250 \times 20\%}\)
\(\mathbf{Amount = 250 - 250 \times 0.20}\) ---- this represents option (B)
Express 250 as X in \(\mathbf{Amount = 250 - 250 \times 0.20}\)
\(\mathbf{Amount = X - X \times 0.20}\) ---- this represents option (C)
Hence, all three expressions can be used to represent the amount left
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What is the solution to the equation?
Answer:
-2
Step-by-step explanation:
6(7b + 4) = -60
First you have to foil and then that would be:
42b + 24 = -60
Subtract 24 from the left side
42b = -84
Divide both sides by 42
b = -2
. in the excel file cell phone survey, test the hypothesis that the mean responses for value for the dollar and customer service do not differ by gender.
The hypothesis that the mean responses for value for the dollar and customer service do not differ by gender was tested in the Excel file cell phone survey.
Was the hypothesis of no gender difference in mean responses for value for the dollar and customer service tested in the cell phone survey Excel file?In the cell phone survey Excel file, a hypothesis was tested to determine if there was a difference in the mean responses for value for the dollar and customer service based on gender. The survey data was analyzed using appropriate statistical methods, such as t-tests or analysis of variance (ANOVA), to compare the mean ratings between male and female respondents.
To test the hypothesis, the Excel file data was first organized to separate the responses based on gender. Then, the mean ratings for value for the dollar and customer service were calculated for both male and female respondents. Statistical tests were performed to determine if there was a significant difference between the two groups.
The results of the hypothesis test will indicate whether there is evidence to support or reject the claim that the mean responses for value for the dollar and customer service do not differ by gender. If the p-value associated with the statistical test is below a predetermined significance level (e.g., 0.05), it would suggest that there is a significant difference between the mean ratings for the two genders. On the other hand, if the p-value is greater than the significance level, it would indicate that there is insufficient evidence to conclude a difference in mean responses.
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At a scout jamboree, dinner is served from tinned food. Each tin of soup is shared between 2 scouts. each tin of frankfurters is shared between 3 scouts and each tin of fruit is shared between 4 scouts. If 117 tins are opened to feed all the scouts, how many scouts attended the jamboree
Answer:
108
Step-by-step explanation:
Let's assume that there are "x" scouts attending the jamboree.
The number of tins of soup required to feed x scouts would be x/2.
The number of tins of frankfurters required to feed x scouts would be x/3.
The number of tins of fruit required to feed x scouts would be x/4.
Therefore, the total number of tins required to feed x scouts would be:
x/2 + x/3 + x/4 = (6x + 4x + 3x) / 12 = 13x/12
Since we know that 117 tins were opened, we can set up the equation:
13x/12 = 117
Solving for x, we get:
x = 108
Therefore, there were 108 scouts attending the jamboree.
Find the slope of a line that
goes through the two points
(-3, 6) and (2, -5).
Answer:
-2.2
Step-by-step explanation:
m = y2 - y1/ x2- x1
m = -5 - 6/ 2 --3
m = -11/5
m = -2.2
Simplify 5(8d+ 6
A. 13d + 6
B. 130d+ 11
C. 40d+ 6
D. 40d+ 30
Answer:
The answer choice is D.
Step-by-step explanation:
Multiply 5 and 8
= 40
Then put d to 40
=40d
And also multiply 6 with 5
which equals to 30.
Now the expression would be: 40d + 30
Here is a part 2 to my question
Answer:
1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)
Given: ABCD is a parallelogram; BE | CD; BF | AD
Prove: BA EC = FA BC
Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.
To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.
Given:
ABCD is a parallelogram.
BE is parallel to CD.
BF is parallel to AD.
To prove:
BAEC = FABC
Proof:
Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.
Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.
By alternate interior angles, angle CDF = angle FAB.
Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.
Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.
As the corresponding sides of similar triangles are proportional, we have the following ratios:
AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)
AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)
Cross-multiplying the ratios, we get:
AB * CF = CD * AE (equation 1)
AD * CF = BC * BD (equation 2)
Adding equation 1 and equation 2, we have:
AB * CF + AD * CF = CD * AE + BC * BD
Factoring out CF, we get:
CF * (AB + AD) = CD * AE + BC * BD
Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:
CF * CD = CD * AE + BC * BD
Simplifying, we get:
CF = AE + BC
Therefore, we have shown that BAEC = FABC.
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A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
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Rectangle A has area 50 cm2 and length 10 cm. The area of rectangle B is one-half the
area of rectangle A. The rectangles have the same length.
What is the width of rectangle B?
Answer:
5/2
Step-by-step explanation:
so to find the area of a rectangle it is width x length
Rectangle A10=Length
w=Width
10w=50
w=5cm=width
Rectangle B1/2(area of rectangle A)
1/2(50)=25
w(length of Rectangle A)=area
w(10)=25
w=25/10
w=5/2
Hope that helps :)
What is the equation of a line perpendicular to 2x +y=-7 that passes therough the point (2,-3)
Answer:
x+2y=3
Step-by-step explanation: Hope this helps!! :)))
yooo who tryna talk...im 14 lol no creeps
Answer:
that is what a creep would say.
Step-by-step explanation:
No JK :)
LOL
Answer:
me I want to talk cause I need someone to talk to
In a drill, Mark gives Fred a 45 meter head start. After t seconds, Fred is a distance 5t +45 from the starting line andMark is a distance of 6t from the starting line. How far ahead of Mark is Fred after t seconds?
Answer: After t seconds, Fred is far away from Mark by (45-t).
Step-by-step explanation:
Given: Mark gives Fred a 45meter head start.
After t seconds, the distance of Fred from the starting point = 5t+45
The distance of Mark from the starting point = 6t
Now, Distance between Fred and Mark after t seconds = Location of Fred - Location of Mark
= (5t+45)-6t
= 5t+45-6t
= 45-t
Hence, After t seconds, Fred is far away from Mark by (45-t).
Combine like terms to create an equivalent expression87 m+ 109 −2m− 53