Kayla wants to find the width, AB, of a river. She walks along the edge of the river 100 ft and marks point C.
Then she walks 22 ft further and marks point D. She turns 90° and walks until her location, point A, and point
C are collinear. She marks point E at this location, as shown.
(a) Can Kayla conclude that △ and △ are similar? Why or why not?
(b) Suppose DE = 32 ft. What can Kayla conclude about the width of the river? Explain
Answers
a. The triangles ABC and EDC are similar because there are three internal angles in bother triangles.
b. Suppose DE = 32 ft, the thing that Kayla can conclude about the width of the river is that it is 145.45ft.
How to illustrate the information?It should be noted that when two triangles are the same, there will be equality in the ratio of the sides to the angles.
Based on the information, DDE = ACB, EDC ,= ABC, DEC = CAB. They are similar.
Therefore, the values of the width she DE is 32 will be:
BC/DC = AB/DE
100/22 = AB/32
AB = 145.45ft
Therefore, the width is 145.45ft.
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Related Questions
Resuelve lo siguiente:
1.-Carlos tiene un mazo de 15 cartas numeradas del 1 al 15. Saca una carta al
azar, ve el número, y la revuelve de nuevo en el mazo. ¿Cuál es la probabilidad de
que no le salga una carta menor o igual a 5 en el primer intento, pero que si le
salga una carta menor o igual a 5 en el segundo intento?
1
1
2
B) 9
A) 9
C) 3
D) 3
Answers
Respuesta:
2/9
Explicación paso a paso:
Dado que :
tarjeta numerada = 1 - 15
Probabilidad de obtener un número no menor o igual a 5
Número de cartas no menor o igual a 5:
Tarjeta no ≤ 5 = (6,7,8,9,10,11,12,13,14,15) = 10
Probabilidad = resultado requerido / Total de resultados posibles
P (Tarjeta no ≤ 5) = 10/15 = 2/3
Número de cartas menor o igual a 5:
Tarjetas ≤ 5 = 1, 2, 3, 4, 5
P (Tarjeta ≤ 5) = 5/15 = 1/3
P (Tarjeta no ≤ 5) * P (Tarjeta ≤ 5)
2/3 * 1/3 = 2/9
Calcularemos la probabilidad del evento combinado para obtener: P = 0.22
Calculando las probabilidades individuales:La probabilidad de sacar una carta menor o igual a 5 es igual al cociente entre el numero de cartas con un número menor o igual a 5 y el número total de cartas en el mazo.
Tenemos 5 cartas con un número igual o menor a 5 y un total de 15 cartas, así que la probabilidad es:
p = 5/15
La probabilidad de que no le salga una carta menor o igual a 5 es calculada de la misma forma, hay 10 cartas que no son menores o iguales a 5 y un total de 15 cartas, entonces tenemos:
q = 10/15
La probabilidad conjunta es simplemente el producto de esas dos probabilidades, así obtenemos:
P = (10/15)*(5/15) = 10/45 = 0.22
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How do you look for a correlation using data points?
Answers
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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24 of the cars in the parking lot are blue. about what fraction of the cars in the parking lot are blue
Answers
Answer:
all of them are blue so 1
Step-by-step explanation:
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answers
Answer:
The answer is Ahope this helps
The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answers
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
PLEASE HELP ASAP 30 POINTS!
Answers
Answer:
-4/3
Step-by-step explanation:
Answer:-4/3
Step-by-step explanation:
Isabel's dog gets 55.4 grams of protein in each meal. How much protein does the dog get in 8 meals? Please help
Answers
Answer:
443.2
Step-by-step explanation:
3,3 x,y 6,9 what is x,y 
Answers
answer:
answer:
answer:
Graph the solution to the inequality on the number line.
w-0.9>-2.1
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
The solution set for the inequality given in the task content as required is; w > -1.2.
The graph of the inequality on the number line is as represented in the attached image.
What is the graph of the inequality given; w - 0.9 > -2.1?It follows from the task content that the graph of the inequality w - 0.9 > -2.1 as required is to be determined.
Since the given inequality is; w - 0.9 > -2.1.
The inequality can be solved by first adding 0.9 to both sides of the inequality; Additive property of inequalities;
w - 0.9 + 0.9 > -2.1 + 0.9.
w > -1.2.
On this note, the correct ray is that which points rightwards with an open ring (indicating the > sign).
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The solution of the inequality is graphed in the number line and attached
How to solve the inequalityWhat is inequality in math?Inequality, is a mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Solid dot and hollow dot in inequality
A region on one side of a line can be used to graphically show an inequality.
For the purpose of indicating that a line is not a part of the region, inequality plots that employ the < or > symbols have a hollow dot
Plotting a solid dot indicates that an inequality that uses the symbol ≤ or ≥ is included in the region.
In the problem, w - 9 > -2.1 will use a hollow dot
w - 0.9 > -2.1
w > -2.1 + 0.9
w > -1.2
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4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answers
Answer:
K5.60.
Step-by-step explanation:
-11 2/3 x (-4 1/5) =
Answers
Answer:
49 is your answer :)
Step-by-step explanation:
Have a nice dayyy <3
help please, i need to turn this in
Answers
Answer:
a = -3
b = 9
c = -3
Step-by-step explanation:
\(a. (2^{5} )(2)^{-8} =2^{a} \\2^{(5-8)} =2^{a} \\2^{-3}=2^{a}\)
\(a=-3\)
\(b.\frac{4^{7} }{4^{-2} } =4^{b} \\4^{(7-(-2))} } =4^{b} \\4^{(7+2)} =4^{b}\)
\(4^{9} =4^{b}\)
\(b=9\)
\(c. \frac{7^{9} }{7^{c} } =7^{12}\)
\(7^{9-c} =7^{12}\)
\(9-c=12\)
\(c=9-12\)
\(c=-3\)
Hope this helps
The local historical Society wants to preserve two buildings. The total age of the buildings is 292 years. If one building is three times as old as the other, what are the ages of the two buildings?
The newer building is years old, and the older building is years old.
Answers
Answer:
building one is 292 years old and building two is 879 years old
Step-by-step explanation:
292x3= 879
The newer building is 73 years old,
And, The older building is 219 years old.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The total age of the buildings is 292 years.
Now,
Let the newer building is = x years old,
Then, The older building is = 3x years old.
Here, The total age of the buildings is 292 years.
So, We get;
⇒ x + 3x = 292
⇒ 4x = 292
⇒ x = 73
Thus, The newer building = x years old,
= 73 years old
And, The older building = 3x years old.
= 3 × 73
= 219 years old
Therefore, The newer building is 73 years old,
And, The older building is 219 years old.
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A probability experiment consists of rolling a fair 14- sided die. Find the probability
Answers
Step-by-step explanation:
if the fair is rolled once ,then the probability is 1/14.
rogress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer A motor oil retailer needs to fill 50 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil. Which will he need to fill the bottles? The 2 gallon tank is enough. He will need both tanks. The 2 gallon tank is not enough, but the 12 gallon tank is enough. Question ID: 53297 Even both tanks will not be enough.
Answers
The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
Find the solution ?The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.
A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:
Quarts to gallons is 4 to 1.
1/4 x 60 = X
60/4 = X
15 = X
Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons
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She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
Answers
she still owes 9.3$
answer : 9.30$
Step-by-Step-
25.63-16.33=9.30
Jenny still owns $9.30 dollars to her sister.
Hope this helps :)
please help me ASAPif asked is this a text or a quiz this is a practiceif asked if a agree to the terms and guidelines I agree
Answers
Answer:
\(Tn\text{ = -}\frac{4}{3}(-3)^{n-1}\)Explanation:
The nth term of a geometric sequence is expressed as;
\(\text{T}_{n\text{ }}=ar^{n-1}\)If the second term is 4;
\(\begin{gathered} T_2=\text{ ar} \\ T_{2\text{ }}=\text{ ar= 4} \end{gathered}\)If the third term is -12, hence;
\(\text{T}_{3\text{ }}=ar^2\text{= -12}\)Solve equation 1 and 2 simultaneously for a and r
Divide both expressions
\(\begin{gathered} \frac{ar}{ar^2}=\text{ }\frac{4}{-12} \\ \frac{1}{r}=\frac{4}{-12} \\ r\text{ = -12/4} \\ r\text{ = -3} \end{gathered}\)Get the first term;
Substitute r = -3 into 1;
Frm 1;
\(\begin{gathered} ar\text{ = 4} \\ -3a\text{ = 4} \\ a\text{ = }\frac{-4}{3} \end{gathered}\)Get the explicit expression;
\(\begin{gathered} Tn=ar^{n-1} \\ Tn\text{ =-}\frac{4}{3}(-3)^{n-1^{}^{}} \end{gathered}\)This gives the required answer
Solve the expression shown: Whats 39 x 4
Answers
Answer: 156
Step-by-step explanation:
39 times 4 is 156 i hope i got this right
Answer:
39 times 4 would be equal to 156
x = 13, ¿cuál ecuación es verdadera?
3(18 - x) = 67
4(9x) = 23
2(x-3)=7
5(x-9) = 20
Answers
When x = 13, the equation that is true is option D) 5(x - 9) = 20.
To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:
A) 3(18 - x) = 67
Substituting x = 13:
3(18 - 13) = 67
3(5) = 67
15 = 67
The equation is not true when x = 13. Therefore, option A is false.
B) 4(9x) = 23
Substituting x = 13:
4(9*13) = 23
4(117) = 23
468 = 23
Again, the equation is not true when x = 13. Therefore, option B is also false.
C) 2(x - 3) = 7
Substituting x = 13:
2(13 - 3) = 7
2(10) = 7
20 = 7
Once again, the equation is not true when x = 13. Therefore, option C is false as well.
D) 5(x - 9) = 20
Substituting x = 13:
5(13 - 9) = 20
5(4) = 20
20 = 20
Finally, the equation is true when x = 13. Therefore, option D is true.
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Note: the translated questions is
X = 13, which equation is true?
Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.
−7=−4w−19
Answers
7-19 = 4w+19-19
-12 = 4w
-12/4 = 4w/4
-3 = w
Hector’s car holds 12.6 gallons of gas. If it cost $3.25 per gallon, how much does it cost for him to his tank?
Answers
Answer:
$40.95
Step-by-step explanation:
Simply multiply 12.6 by 3.25.
Hope that helps!
pls help with number 12
Answers
9514 1404 393
Answer:
a. Zachary is correct
b. (-1)(-3) = 3 (Scott & Tina are wrong); (5)(-2) = -10 (Aaron is wrong); (1)(3) = 3
Step-by-step explanation:
a. An even number of minus signs in a product will mean the product is positive; an odd number will mean the product is negative. Zachary's observation is consistent with this rule. Zachary is correct.
We can show the others are incorrect using a counter-example.
(-1)(-3) = 3 . . . . shows Scott, Aaron, and Tina are incorrect
Tina's rule is not consistent with the commutative property of multiplication.
Aaron's rule applies to addition, but not to multiplication.
__
b. The example used above is one example. Here are two more.
(-1)(-3) = 3 . . . . . shows Zachary correct; Scott, Aaron, Tina incorrect
(5)(-2) = -10 . . . . Aaron's own example shows him incorrect
(1)(3) = 3 . . . . . . agrees with all students' observations
Identify the GCF of the following terms: 40a5b9c4and 22a7b6
Answers
Answer:
Check photo.
Step-by-step explanation:
Solve.
-15 - (-8) - (-23) – 46
Your answer
Answers
Answer:
-30
Step-by-step explanation:
-15 - (-8) - (-23) – 46
When u have 2 negatives it will always make a positive -(-)
-15 + 8 + 23 - 46
-7 + 23 - 46
16 - 46
-30
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find Surface Area Of This Triangular Prism
Answers
Answer:
325 cm²
Step-by-step explanation:
find area of each side even those that are not shown. then add the areas
If you can buy one bunch of seedless green grapes for $2, then how many can you buy with $18?
Answers
If you can buy 1 bunch of seedless green grapes for $2, then $18 we can buy 9 bunches.
The concept used here is a simple division to find out how many bunches of seedless green grapes can be purchased with a given amount of money.
In this case, we know the cost of one bunch of seedless green-grapes ($2) and we are given a total amount of money ($18) that we can spend on grapes. We can use division to find out how many bunches we can buy with that amount.
⇒ Number of bunches = ($18)/($2) per bunch,
⇒ Number of bunches = 9 bunches;
Therefore, with $18, you can buy 9 bunches of seedless green grapes.
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Amelia earned $18 babysitting yesterday. Place a point on the
number line to represent this value.
THE PICTURE IS BELOW
Where would I put the point?
Thank you so much!!
Answers
Answer:
Between the second and third vertical lines, as shown in attached image.
Step-by-step explanation:
To find the point between the 12 and the 20, subtract 12 from 20 and divide the result by two:
\(20-12=8\\\frac{8}{2}=4\)
Then, add the result (4) to 12. The midpoint between the 12 and the 20 on this number line is 16. This makes sense, because 16 + 4 = 20.
Now you can see that the midpoint between 16 and 20 is 18. This point is not yet marked with a line on the number line, but that's where you put the dot.
formula for density
formula for density
Answers
Answer:
The formula for density (ρ) is:
Density (ρ) = Mass (m) / Volume (V)
Step-by-step explanation:
Where:
Density is measured in units such as kilograms per cubic meter (kg/m³) or grams per cubic centimeter (g/cm³).Mass is the amount of matter in an object and is typically measured in kilograms (kg) or grams (g).Volume is the amount of space occupied by an object and is typically measured in cubic meters (m³) or cubic centimeters (cm³).
Please help. Will give brainliest
Answers
Answer:
(1, 3)
Step-by-step explanation:
The solution to a system the point(s) they have in common. These two lines share one point. That point is (1, 3) making it the only solution to the system of equations.
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework