Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with
the ground. How high up the wall does the ladder reach? Round your answer
to the nearest tenth of a foot if necessary.
Answers
Check the picture below.
The ladder reaches 17.2-foot high up the wall.
Given that,
Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.
We have to find,
How high up the wall does the ladder reach?
According to the question,
Ajay leans à 18-foot ladder against a wall so that it forms an angle of 73° with the ground.
Let, the height of the wall does the ladder reach is y,
Then,
\(\rm Sin\theta = \dfrac{Opposite \ side}{Hypotenuse}\)
Here, Angle = 17 degree, opposite side = y, and perpendicular = 18
Therefore,
\(\rm Sin73 = \dfrac{y}{18}\\\\0.95 = \dfrac{y}{18}\\\\y = 18 \times 0.95\\\\y = 17.2 \ foot\)
Hence, The ladder reaches 17.2-foot high up the wall.
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Related Questions
4/9 + 2/7 simplest form
Answers
Answer:
46/63
Step-by-step explanation:
Answer:
46/63
Step-by-step explanation:
4/9 +2/7
4/9*7/7+2/7*9/9
28/63+18/63
46/63
that is the simplest form, no simplifying can be applied
46/63
Please ANSWER!!!!!!!
Answers
Answer:
See explanation
Step-by-step explanation:
It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
Answers
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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What is 4.239 rounded to the neareast hundreth
Answers
Answer:
4.24
Step-by-step explanation:
round the hundredths place according to the thousandths place
if the thousandths place (in this case 9) is 5 or greater, round the hundredths place up
if the thousandths place is less than 5, keep the hundredths place the same number
Answer:
4.24
Step-by-step explanation:
since there's a 9 in the thousandths it will change the 3 to a 4
A 450m long field is drawn to a scale 1cm to 90m l.find the length of the drawing
Answers
answer: 5cm long
PLZZ HELLPPPPPPP PLZZZZZZZZZZZ
Answers
Answer:
10%
Step-by-step explanation:
Fill in the table.
Give four consecutive odd integers:
First Integer
X
The simplified sum of the second and forth integers are
Next Integers
Answers
The simplified sum of the second and forth integers are; -1 + 5 = 4
How to find the integer?An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803
Now, we are given the consecutive integer sequence as;
x, 1, 3, 5
Now, since the integers are consecutive, then the common difference is the same. Thus;
1 - x = 3 - 1
1 - x = 2
x = 1 - 2
x = -1
Sum of first and fourth term = -1 + 5 = 4
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My brain is fried this is due in the next 10 minutes and still haven't understood this work Need help ASAP
Will make you brainlist
Can someone help me graph it and to tell me where to put it?( put the order pairs on how to plot it)
Answers
Answer:
(0,1) (-1,1)
Step-by-step explanation:
9-3y=x
5+3y=x
What is the value of x?
Answers
Answer:
Since y has the same coefficient 3 you cancel it
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
Answers
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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50 points. use rotation tool in top right to flip upright.
Answers
Answer:
(a) 56%
(b) 28%
Step-by-step explanation:
Hope this helps! :)
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer
Measure the shape yourself and follow the explanation.
Step-by-step explanation:
Measure each side of the Triangles with your ruler. Record it.
For example,
I measured and got 3cm, 3.5cm, 3.5cm.
Multiply by scale factor r 2.
for example, 3cm × 2 = 6cm
3.5cm × 2 = 7.0cm
3.5cm × 2 = 7.0cm
Use your pencil to draw your new numbers to form the new Triangle.
As for the second shape, measure each four sides using ruler
for example, I measured and had 4cm, 6cm, 4cm, 6m.
Multiply by scale factor r 2.
for example, 4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
4cm × 1/4 = 1 cm
6cm × 1/4 = 1.5cm
Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape
In a hotel, restaurant sales were 2/3 of accommodation sales. Restaurant sales and accommodation
sales totally were € 200 000 per month, then
A. Restaurant sales were € 60 000 per month
B. Restaurant sales were € 66 666 per month
C. Accommodation sales were 80.000 per month
D. Accommodation sales were € 150 000 per month
E. Accommodation sales were € 120 000 per month
Answers
Answer:
E. Accommodation sales were € 120 000 per month
Step-by-step explanation:
\(1 + \frac{2}{3} = \frac{5}{3} \)
\(restaurant \: sales \: = \frac{200 \: 000}{5} \times 2 = 80 \: 000\)
\(accommondation \: sales = \frac{200 \: 000}{5} \times 3 = 120 \: 000\)
Automobile repair costs continue to rise with the average cost now at $367 per repair.† Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88.
Answer the following questions about the cost of automobile repairs.
(a) What is the probability that the cost will be more than $470? (Round your answer to four decimal places.)
(b) What is the probability that the cost will be less than $230? (Round your answer to four decimal places.)
(c) What is the probability that the cost will be between $230 and $470? (Round your answer to four decimal places.)
(d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars?
(Round your answer to the nearest cent.)
Answers
Answer:
B
Step-by-step explanation:
It will cost more
I will take a picture of the question there are like four parts to this question
Answers
Use A= Ao•e^kt
then
2Ao = Ao•e^kt
cancel Ao, then
2 = e^kt
then
Ln 2 = kt
now find t
t = Ln 2/k
Answer is , all steps gives as result
t = Ln 2/k
Multiply. 5.3 x 1000 X
\(5.3 \times 1000\)
Answers
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable
solution if x represents the number of days that a library book is late and y represents the total fee?
Answers
The equivalent equation to find the ordered pair will be y=0.3x where x represents the number of days the book is late and y represents the total fine fee.
A linear equation is an equation where the highest degree in the equation is 1.
for example, y=mx,
where y and x is the variable and m, is the constant.
Given, that the librarian charges $0.30 per each day that the book is late to submit
for estimating the relation between the number of days the book is late and the total fine fee
Let's assume the number of days the book is late is x,
and the total fine is y
the librarian charges $0.30 per one day
so for x days, the total charge will be =0.30x
so from above, it is clear that the linear equation will be
y=0.3x
applying all the order pairs in this equation we can decide.
The equivalent equation to find the ordered pair will be y=0.3x
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Plato trigonometry is crazy
Answers
Answer:
The answer is A. 21
i hope this can help you! :)
Answer:
a)21
-step explanation:
Which of the following functions is graphed below? HELP
Answers
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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Derrick borrowed an 18-foot extension ladder to paint his house. If he sets thebase of the ladder 5 feet from the house, how far up along the side of the house willthe top of the ladder reach? (Round your answer to the nearest tenth.)
Answers
ANSWER
17.3 ft (rounded to the nearest tenth)
EXPLANATION
Given:
Desired Outcome:
The height the top of the ladder will reach.
Apply the Pythagorean Theorem
\(\begin{gathered} Hyp^2=Opp^2+Adj^2 \\ AC^2=AB^2+BC^2 \\ 18^2=x^2+5^2 \\ 324-25=x^2 \\ x^2=299 \\ x=\sqrt{299} \\ x=17.29ft \end{gathered}\)Hence, the top of the ladder will reach 17.3 ft (rounded to the nearest tenth) up along the side of the house.
A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months.
Answers
Given the equation:
\(S(t)=20(7-\frac{7}{2+t})\)Where t is the time in months.
Let's solve for the following:
• (a). Average rate of change of S(t) during the first year.
During the first year, the time interval, t is from 0 to 12 months.
Now, to find the average rate of change for the first year, apply the formula:
\(S(t)_{avg}=\frac{S(12)-S(0)}{12-0}\)Now, let's solve for S(12) and S(0):
\(\begin{gathered} S(12)=20(7-\frac{7}{2+12})\Longrightarrow20(7-\frac{7}{14})\Longrightarrow20(7-0.5)=130 \\ \\ S(0)=20(7-\frac{7}{2+0})=\Rightarrow20(7-\frac{7}{2})\Longrightarrow20(7-3.5)=70 \end{gathered}\)Hence, to find the average rate of change, we have:
\(\begin{gathered} S(t)_{\text{avg}}=\frac{S(12)-S(0)}{12-0} \\ \\ S(t)_{\text{avg}}=\frac{130-70}{12-0} \\ \\ S(t)_{\text{avg}}=\frac{60}{12} \\ \\ S(t)_{\text{avg}}=5 \end{gathered}\)Therefore, the average rate of change during the first year is 5
• (b). During what month of the first year does S (1) equal the average rate of change?
Let's first find the derivative of S(t):
\(\begin{gathered} S^{\prime}(t)=20(0+\frac{7}{(2+t)^2}) \\ \\ S^{\prime}(t)=20(\frac{7}{(2+t)^2}) \\ \\ S^{\prime}(t)=\frac{140}{(2+t)^2} \end{gathered}\)Now, we have:
\(\begin{gathered} S^{\prime}(t)=S_{avg} \\ \\ 5=\frac{140}{(2+t)^2} \\ \\ 5(2+t)^2=140 \\ \\ (2+t)^2=\frac{140}{5} \\ \\ (2+t)^2=28 \end{gathered}\)Take the square root of both sides:
\(\begin{gathered} \sqrt[]{(2+t)^2}=\sqrt[]{28} \\ \\ 2+t=5.3 \\ \\ t=5.3-2 \\ \\ t=3.3\approx4 \end{gathered}\)Therefore, the month will be the 4th month which is April.
ANSWER:
(a). 5
(b). April
Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?
Options:
A: 0
B :5
C: 10
D: 25
Answers
The calculated output value for an input value of 5 is (c) 10
What is the output value for an input value of 5?From the question, we have the following parameters that can be used in our computation:
Kerrin is making an input-output table for the rule "add 5."
This means that
Output = input + 5
In this case, we have
input = 5
substitute the known values in the above equation, so, we have the following representation
Output = 5 + 5
Evaluate
Output =10
Hence, the output is 10
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If tan 0= 11/60, what is the value of cot0?
Answers
9514 1404 393
Answer:
60/11
Step-by-step explanation:
The cotangent of an angle is the reciprocal of its tangent.
cot(θ) = 1/tan(θ) = 1/(11/60)
cot(θ) = 60/11
Find the modulus of z = 3 + 3i.
Answers
Answer: 3√2
Step-by-step explanation:
i had a quiz with this question and it said this was the correct answer
It took Ms. Hernandes 4/5 hours
to drive 3/10 of the way to her
uncles house. How many hours
did it take to drive to her unde
house?
Answers
Answer:
2 2/3 hours or 2 hours and 4o minutes
Step-by-step explanation:
set up a proportion
\(\frac{time}{distance}\) = \(\frac{time}{distance}\)
\(\frac{\frac{4}{5} }{\frac{3}{10} }\) = \(\frac{h}{1}\)cross multiply and solve for h
\(\frac{3}{10}\) h = \(\frac{4}{5}\) Multiply both sides by \(\frac{10}{3}\)
\((\frac{10}{3})\)\(\frac{3}{10}\) h = \((\frac{10}{3})\)\(\frac{4}{5}\) Multiply and then divide the top and bottom by 5
h = \(\frac{8}{3}\) o r2 \(\frac{2}{3}\)
Find a and b
2a +( b+i)i= 1+2i
Answers
Answer:
a = 1
b = 2
Step-by-step explanation:
i is the imaginary number.
The sqroot(-1) = i
But useful for this problem is that i^2=-1
Also, for this problem we'll keep the right side of the equation just the way it is, change the left side to be in the same order (a plain number + an i term) Then we'll pick out the a and b that make it a true statement.
2a + (b + i)i = 1 + 2i
Distribute the i on the left (i acts just like a variable most of the time, even tho it isn't)
2a + bi + i^2 = 1 + 2i
Remember i^2 is -1.
2a + bi + -1 = 1 + 2i
2a + -1 + bi = 1 + 2i
(2a+-1) is the plain number.
bi is the i term.
2a+-1 = 1 and bi=2i
solve for a.
And b is 2.
2a + -1 +1 = 1+1
2a = 2
a = 1
eat breakfast at a cafe. the total check was $5. here's the money he left period why did he pay $5.75?
Answers
Answer:
Tip.
Step-by-step explanation:
Since to total is $5 that means all taxes are already counted for.
He added the 75 cents as a tip.
Order the following least to greatest (4, -2, -19, 0, 25) ..help
Answers
In ΔOPQ, o = 6.6 inches, p = 2.1 inches and q=6 inches. Find the measure of ∠O to the nearest 10th of a degree.
Answers
Answer:
The measure of ∠O is 97.2° to the nearest tenth
Step-by-step explanation:
To solve this question, we will use the cosine rule
In Δ OPQ
Side o is opposite to ∠O
Side p is opposite to ∠P
Side q is opposite to ∠Q
By using the cosine rule
∵ o² = p² + q² - 2(p)(q)cos∠O
∵ o = 6.6 inches
∵ p = 2.1 inches
∵ q = 6 inches
→ Substitute them in the rule above
∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O
∴ 43.56 = 4.41 + 36 - 25.2cos∠O
→ Add the like terms in the right side
∴ 43.56 = 40.41 - 25.2cos∠O
→ Subtract 40.41 from both sides
∵ 3.15 = -25.2cos∠O
→ Divide both sides by -25.2 to find cos∠O
∴ -0.125 = cos∠O
→ Use your calculator to find ∠O
∵ m∠O = \(cos^{-1}(-0.125)\)
∴ m∠O = 97.18075578
→ Round it to the nearest tenth ⇒ 2d.p.
∴ m∠O = 97.2°
Sheila picks for 1 1/4 pounds of blueberries for $10 how many pounds can she pick for $1
Answers
Answer:
0.125 pounds of blueberries
Step-by-step explanation:
Trust me
Answer:
1/8
Step-by-step explanation:
1 1/4=1.25
1.25/10=0.125
0.125 in the simplest fraction form is 1/8
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