Two houses sit along the southern shore of a lake. The distance between the houses is
150 m. From one house, a green light can be seen at the end of a dock across the lake.
The direction to the light from this house is 8 east of north. From the other house the
light appears to be 48 west of north. What is the distance from each house to the light?
Answers
Answer:
150÷48=3hrs and 125minutes
Step-by-step explanation:
speed =distance/time
Related Questions
two more than a number is less than 13
Answers
Answer:
x + 2 < 13
Step-by-step explanation:
hopefully this helps :)
have a nice day !!
**please let me know if this wasn't what you were looking for**
i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answers
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation:
Prince Charming invests $3000 for 5 years at a rate of 4% per year simple interest.
Calculate the total interest he will receive.
Answers
Answer:
$ 600
Step-by-step explanation:
From the question given above, the following data were obtained:
Principal (P) = $ 3000
Time (T) = 5 years
Rate (R) = 4%
Interest (I) =?
The total interest he will receive can be obtained as follow:
I = PTR/100
I = 3000 × 5 × 4 / 100
I = 60000 / 100
I = $ 600
Thus, the total interest he will receive is $ 600
The amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
Prince Charming invests $3000, thus the principal amount is $3000.
He invest the same amount for 5 years, thus time we have to paid on this principal is 5 years.
The rate for which the principal amount increase is 4 %.
The formulated way to represent the simple interest (I) after passing t years of time, at a rate of r % and having a principal amount of P is mentioned below.
[tex]I=\dfrac{P \times r \times t}{100}[/tex]
Substitute the given values in the above formula to calculate simple interest.
[tex]\begin{aligned}I&=\dfrac{3000 \times 4 \times 5}{100}\\&=600 \end{aligned}[/tex]
Thus, the amount of $600 received by Prince Charming on the investment of $3000 for 5 years.
To know more about the simple interest, please refer to the link:
https://brainly.com/question/23266303
Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
Answers
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole
Answers
Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
Solve For X. Your answer must be simplified
Answers
sorry, i cant do the arrow thing on my keyboard, but it’s the same arrow in the picture
Domain and range of graph need ASAP
Answers
Answer:
Domain: [tex]-6 \leq x \leq 3[/tex]
Range: [tex]-3 \leq x \leq 6[/tex]
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
A number cube is marked 1, 2, 3,4,5 and on 6 it's face if you roll the cube one time what is the probability that is 2
Answers
Answer:
1/6
Step-by-step explanation:
This is your answer
Hope this helps :)
Answer:
1/6
Step-by-step explanation:
Milan has a total of 51 nickels and dimes worth $4.95. How many of each coin does she have?
Answers
Answer: 75 coins total, 51 nickels and 24 dimes.
Step-by-step explanation:
.......................................................................................
Answers
Answer:
you have it right
Step-by-step explanation:
In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.
Answers
Answer:
Um, what is 푦푦?
Step-by-step explanation:
Answer:
Yes, but actually yes.
Step-by-step explanation:
What are the solutions to x2 + x-7≤0
Answers
2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
Marvin says," The probability of it raining tomorrow is 1/2 as it either will or it won't. Do you agree with Marvin? Explain your answer.
Answers
Answer:
It depends if the sky is cloudy or not.
Step-by-step explanation: We cant be sure on 100% percent it depends.
124,567 is closer to 100,000 than 200,000
Answers
In the last several weeks, 18 days saw rain and 29 days saw high winds. in the same time period 7 days saw both rain and high winds. How many days saw either rain or high winds
Answers
Answer:
40 days saw either rain or high winds
Step-by-step explanation:
We solve this question using Venn sets.
I am going to say that:
Set A: Rain
Set B: High winds.
18 days saw rain
This means that [tex]A = 18[/tex]
29 days saw high winds
This means that [tex]B = 29[/tex]
7 days saw both rain and high winds.
This means that [tex]A \cap B = 7[/tex]
How many days saw either rain or high winds?
This is
[tex]A \cup B = A + B - A \cap B[/tex]
Sp
[tex]A \cup B = 18 + 29 - 7 = 40[/tex]
40 days saw either rain or high winds
dominique sells 5 candles for a fundraiser. sofia sells 12 candles earning $24.50 more than dominique. how much does one candle cost
a. $3.00 b. $3.50 c. $4.00 d. $4.50
Answers
Answer:
$3.5
Step-by-step explanation:
12 - 5 = 7
24.5 / 7 = 3.5
A circle has a radius of 48 millimeters.
What is the length of the arc intercepted by a central angle that measures 3π4 radians?
Express the answer in terms of π .
Answers
Answer:
36pi mm
Step-by-step explanation:
A circle has 2pi radians so 3pi/4 is 3/8 of it. The circumference is 96 mm so the length of the arc is 36pi mm.
Answer:
36π
Step-by-step explanation:
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answers
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
According to a survey of workers,6/50 of them walk to work,1/50 bike, 10/50 carpool, and 33/50 drive alone. What percent of workers walk or bike to work? From the survey, nothing% of workers walk or bike to work.
Answers
Answer:
14%
Step-by-step explanation:
naing ducts Of Differences Show that (x - 1)(x - 1) and x² – 2x + 1 are equivalent expressions by drawing a diagram or applying the distributive property. Show your reasoning.
Answers
Answer:
(x-1)(x-1) = x^2-2x+1
Step-by-step explanation:
x^2-1x-1x+1 = x^2-2x+1
Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years?
Answers
$11, 162.78 amount she have in this account if she keeps it for 5 years.
What is Future value?Future value (FV) is a financial concept that provides a monetary worth to an asset depending on future variables such as interest rates or cashflows. An investor may find it valuable to know how much their investment will be worth in five years given a projected rate of return. Future value is calculated by taking the investment value now, applying predicted growth, and estimating what the investment will be in the future.
We have,
P = $10,000
R= 2.2%
T= 5 years
So, Amount after 5 years
= P (1 + r/2[tex])^{2t[/tex]
= 10,000 (1 + 0.011[tex])^{0.022(5)}\\[/tex]
= $11, 162.78
Learn more about Future value here:
https://brainly.com/question/14860893
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To the nearest 1000, there are 18,000 people at a festival . Write down the minimum possible number of people at the festival
Answers
Answer:
17500
Step-by-step explanation:
17499 rounds down
17500 rounds up
The number of people is an illustration of approximation and estimation
The minimum possible number of people at the festival is 17500
The approximated number of people is:
People = 18000
Because 18000 represents people, it means that the population is a whole number
The smallest whole number that can be approximated to 18000 is 17500
i.e.
People = 17500
Hence, the minimum possible number of people at the festival is 17500
Read more about approximation and estimation at:
https://brainly.com/question/24586443
PLZ HELP I WILL GIVE BRAINLIEST I CANT FIGURE OUT THIS QUESTION I HAVE AUTISM
Answers
There are taller lines on the left side of the line.
This means it is skewed to the right.
The circumference of the tree trunk is 7.85 feet. If the tree trunk is cut, what will be the diameter of the tree stump ? Use 3.14 for
Answers
Answer:
The diameter is 2.5ft
Step-by-step explanation:
Given
[tex]C = 7.85[/tex] --- Circumference
Required
Determine the diameter
The circumference of a circular surface is:
[tex]C =\pi d[/tex]
Substitute values for C and [tex]\pi[/tex]
[tex]7.85 = 3.14 * d[/tex]
[tex]d = \frac{7.85}{3.14}[/tex]
[tex]d = 2.5[/tex]
The diameter is 2.5ft
Pls help me PLSPLSPLSPLSPLSPLS
Answers
Answer:
1
Step-by-step explanation:
As all the others suggest more than two which is what the graph shows
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answers
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answers
Answer:
10 ft
Step-by-step explanation:
Use theorem pythagoras
Length = x
[tex] {x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10[/tex]
the answer is 10 because length can't be in negative number
A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320
ANSWER_
The answers are 40 and 80
Answers
Answer:
hey the answer is 402
Step-by-step explanation:
Answer:
40 and 80
Step-by-step explanation:
got it on edgenuit y
Which statements about the formulas for finding area are true? Select two options.
The area formulas for a triangle and a parallelogram require multiplying base by height.
A triangle and parallelogram with the same base and height will have the same area.
A rectangle and parallelogram with the same base and height will have the same area.
The area formula of a trapezoid requires finding the product of the bases.
The base of a triangle is always the shortest side.
Answers
Answer:
The area formulas for a triangle and a parallelogram require multiplying base by height.
A rectangle and parallelogram with the same base and height will have the same area.
Answer:
a and c to make it easier
Step-by-step explanation:
1
The area of a square window is
given by the expression
m’ - 16m+64. Which expression
represents the length of one side
of the window?
a)m - 8
b) m + 4
c)m - 4
d) m + 8
Answers
Answer:
Step-by-step explanation:
-8 ok!