It is 1.9 miles from a house to a restaurant and 1.2
miles to a pier, as shown at the right. The angle
between the two lines of sight is 87°. How far is it from
the pier across the water to the restaurant.
Answers
9514 1404 393
Answer:
2.2 miles
Step-by-step explanation:
The Law of Cosines can be used to figure this.
c² = a² +b² -2ab·cos(C)
c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348
c ≈ √4.811348 ≈ 2.193
It is about 2.2 miles across the water from the pier to the restaurant.
Related Questions
Select the correct answer
Answers
The domain of the given graph is (-∞ < x < ∞)
What is the domain of a function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
Given is a graph,
For f(x) = x, there is no restriction on x
Both the domain and range are the set of all real numbers.
Hence, The domain will be (-∞ < x < ∞)
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Given: AD bisects angle A.
Prove: ADB = ADC
Help immediately please.
Answers
Answer:
Given: AD bisects ∠A
prove: ΔABB ≅ Δ ADC
------------------------------------
statements : Reason:
1) AD bisects ∠A 1- Given
2)∠CAD ≅ ∠BAD 2- Definition of bisector.
3) AD ≅ AD 3- Reflexive property of congruence.
4) ∠CDA ≅∠BDA 4- Right angle( from figure).
5) ΔADB ≅ Δ ADC 5- ASA
[tex]---------------[/tex]
hope it helps...
have a great day!!
The probability that tomorrow's temperature will be average is 55%. The probability that the temperature will be above average is 25%. Work out the probability that the temperature will be BELOW average
Answers
Answer:
Probability that the temperature below average = 20%
Step-by-step explanation:
Given:
Probability that tomorrow's temperature average = 55%.
Probability that the temperature above average = 25%
Find:
Probability that the temperature below average
Computation:
Probability that the temperature below average = 100% - Probability that tomorrow's temperature average - Probability that the temperature above average
Probability that the temperature below average = 100% - 55% - 25%
Probability that the temperature below average = 100% - 80%
Probability that the temperature below average = 20%
The Lateral Area of a cylinder is 8II square feet and its height is 4 ft. Find the radius,
O 12
08
0 1
03
Answers
9514 1404 393
Answer:
C. 1
Step-by-step explanation:
The lateral area is given by the formula ...
LA = 2πrh
Filling in the given values, you have ...
8π = 2π·r·4
1 = r . . . . . . . . divide by the coefficient of r
The radius of the cylinder is 1 foot.
PLEASE HELPPPPPP!!!!! WILL GIVE BRAINLIEST
Answers
Answer:
Since the leading coefficient is negative and the exponent is to a degree of 4...
The graph will be down on both ends.
step by step pls not only one thing
Answers
9514 1404 393
Answer:
C
Step-by-step explanation:
These are not line plots; they are dot plots. Each dot (×) represents one data point. The dot is placed above the corresponding value on the horizontal axis. There are 7 data points, so should be 7 dots. 3 of the data points are 3/4 hour.
Only plots C and D show 7 data points. Only plot C shows three of those data values being 3/4 hour. Plot C is the correct choice.
In the formula C = (F - 32) * 5/9, the letter "F"
Answers
Answer:
Fahrenheit.
Step-by-step explanation:
In the given formula, the variables given stand for:
C = Celsius
F = Fahrenheit
~
In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.
~
hmm... i wonder what's 1+1 =
Answers
Answer:
2
Step-by-step explanation:
1+1 = 2
Jessle served 11 pints of orange Juice at her party. How many quarts of orange juice did she serve?
Answers
(Divide the volume value by 2)
Im confused, please help
Answers
Answer:
8 x 6 = 48, 48 divided by 2 (x 1/2) = 24 , 24 x 2(there are two triangles) = 48
12 x 10 = 120
8 x 12 = 96
12 x 6 = 72
Now let's add all the given areas:
48 + 120 + 96 + 72 = 336 ft^2 is your answer.
what is the explicit formula for this sequence?
-8,-3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-1)(-5)
Answers
Answer:
3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answers
Answer:
Using substitution method
x=2
y=3
F(x)=2 sin (1/2x)+1
What is the midline of the functionless
Answers
Answer: 4
Step-by-step explanation:
Let me get to know you:)
A carpentry tool has replaceable hexagonal heads. The diagram below shows the replaceable head. *Picture not drawn to scale What is the area of the replaceable head? Round to the nearest hundredth, if necessary. A. 13.59 square inches B. 12 square inches C. 15 square inches D. 17.81 square inches
Answers
Answer:
Step-by-step explanation:c 15
A group of workers can plant 49 acres in 7 days. What is there rate in acres per day?
Answers
Answer:
Step-by-step explanation:
343
Answer:
7
Step-by-step explanation:
ANSWER ASAP WILL GIVE BRAINLIEST! 30 POINTS!!
Write the algebraic expression that matches each graph:
Answers
Answer:
y=|x-1|-1
Step-by-step explanation:
hope that helps :)
What is 22 + 125 - 6
Answers
Answer:
141
Step-by-step explanation:
calculator
Answer:
141
Step-by-step explanation:
22+125=147
147-6=141
therefore
the answer is 141
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Answers
Answer:
The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
Step-by-step explanation:
We test:
If the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
Corresponding p-value of about 0.00001.
The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
Round 0.25773438 to the nearest hundredth
Answers
Answer:
The answer is 0.26.
I wish you luck on your assignments.
Answer: 0.26
Step-by-step explanation:
1. The hundredths place is two digits from the decimal point
2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same
3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6
4. Our final answer is 0.26
A small business celebrates serving 5110 customers in their first year of business how many customers did they average each day
Answers
The no. of customers they serve per day is equal to 14.
It is given that the total number of customers served in first year of business was 5110.
We have to find that what will be the average of servings per day ?
What do you mean by average ?
The average is the ratio of sum of all numbers to the total no. of numbers.
As per the question ;
Total number of people served in a year = 5110
We know that ;
1 year = 365 days
So ;
To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.
i.e.,
Average of customers per day ;
= 5110 ÷ 365
= 14 customers per day
Thus , the no. of customers they serve per day is equal to 14.
Use the first five terms of the exponential series of ex and a calculator to approximate the value of e0.8 to the nearest hundredth.
a.
2.24
c.
4.24
b.
2.22
d.
4.22
Answers
Answer:
.632
6 * 1/10 = 3/5
3*0.01 = 0.03
3/5 + 0.03 = .63
2*0.002 = .002
.63 + 0.002 = .632
Step-by-step explanation:
Im just guessing but i think it would be b... if i'm wrong im really sorry
Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segments x and y using 2-3 sentences or explain your steps used to find the values.
Answers
Answer:
Solution given:
short cut to find x
Tan 30°=P/B
Tan30°=x/22√3
x=tan 30×22√3
x=22
and
for y
cos 30=B/H
cos30×y=22√3
y=22√3/cos30
y=44
Work out
a) 4 1/3x6
B) 2 3/5 x 3 1/3
Give Answers as mixed numbers
Answers
Answer:
Solution of the given expression is 26
Solution of the given expression is 8.67
Step-by-step explanation:
Given:
a] [tex]4\frac{1}{3} \times 6[/tex]
b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]
Find the solution;
Computation:
a] [tex]4\frac{1}{3} \times 6[/tex]
Step 1 ;
Changed mixed fraction into simple fraction
⇒ 13/3 x 6
Step 2 ;
⇒ 13 x 2
26
Solution of the given expression is 26
b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]
Step 1 ;
Changed mixed fraction into simple fraction
⇒ (13/5) x (10/3)
Step 2 ;
⇒ 130 / 15
8.67
Solution of the given expression is 8.67
There is a raffle for the class of 30
students. There are 3 prizes that are gift
cards for the value of $5, $10 and $25.
How many ways can there be 3 winners of
this raffle?
Answers
Answer:
Having 3 students pick a raffle
Step-by-step explanation:
6 divided 109 can you help?
Answers
Answer: 18.1666666667
Step-by-step explanation:
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answers
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
Jamie is going to run a 3-mile race. Using the information in the table above, how many inches are in 3 miles?
A.
189,980
B.
190,070
C.
189,080
D.
190,080
Answers
hope it helps :)
PLEASE HELP!
a-b+c=3
a+b+c=7
Find b.
A) 1
B) 2
C) 3
D) 4
E) 5
Answers
Answer:
b
Step-by-step explanation:
I think the day of my birthday was a little more aware of my own life than the poem I think I c I
Answer:
B
Step-by-step explanation:
Given the 2 equations
a - b + c = 3 → (1)
a + b + c = 7 → (2)
Subtract (1) from (2) term by term to eliminate a and c
a - a + b - (- b) + c - c = 7 - 3 , that is
0 + b + b + 0 = 4
2b = 4 ( divide both sides by 2 )
b = 2 → B
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?
Answers
Answer:
D+Q = 31
10D + 25Q = 595
10D + 10Q = 310
subtract to get
15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour
How to calculate the rate?Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the an airplane travels 4720 kilometers in 8 hours. The rate is:
= 4720 / 8
= 590 kilometers per hour
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:
= 4040 / 4
= 1010 kilometers per hour
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