anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer
Answers
We know the height of the ladder (10 feet) and also the height off the ground of the windowsill (8.5 feet). That second side is opposite the angle a. So, when we consider angle a we know the length of the side opposite and of the hypotenuse.
Recall the sin of an angle can be found by using (opposite/hypotenuse).
So we have: sin a = 8.5 / 10. That is, sin a = .85
We are looking for the angle whose sin is .85 and can find this using the inverse sin function.
[tex] sin^{-1}.85=a [/tex]
a is approximately 58.211669 degrees which is less than the 65 degrees and so safe.
Just to be on the safe side, I remind you that your calculator must be in degrees (not radians) to do this problem.
Related Questions
What the area of this polygon is
Answers
Carl buy songs and download them to his computer. the bar graph shows the numbers of each type of song he downloaded last year. what total numbers of song Carl’s downloaded last year?
Answers
Answer:
50 songs
Step-by-step explanation:
To know how many songs he downloaded of each type, we just need to see where each bar stops and see the number that is just below.
Carl downloaded 15 songs of country music, 20 of rock, 5 of classical and 10 of world.
If we want to know the total of songs, we just need to sum them all:
15 + 20 + 5 + 10 = 50
He downloaded 50 songs last year.
The first quartile of a data set is 23, the median is 30, the third quartile is 33, and an outlier is 6. Which of these data values would be represented by a point in a modified box plot?
A. 30
B. 23
C. 6
D. 33
Answers
Answer: C. 6
Step-by-step explanation:
A box-plot mainly represents a five number summary of :
1) lowest data value 2) largest data value 3) first quartile 4) second quartile (Median) 5) third quartile.
The modified version of box-plot displays the outliers of the data by a point if present,
Since 6 is the outlier of the data.
Therefore the 6 is the value which would be represented by a point in a modified box plot.
this figure is 1/4 of a circle what is the best approximation for the perimeter of the figure use 3.14 to approximate pi
A) 3.1
B) 6.3
C) 7.1
D) 12. 3
Answers
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we know that
The figure is known as "Quadrant" in which angle is 90° .
As we know that "Length of an arc":
[tex]Length=\frac{\theta}{360\textdegree}\times 2\times 3.14\times r\\\\Length=\frac{90\textdegree}{360\textdegree}\times 2\times 3.14\times 2\\\\Length=\frac{1}{4}\times 12.56\\\\Length=3.14[/tex]
Perimeter of the figure is given by
[tex]3.14+2+2=7.1[/tex]
Hence, Option 'C' is correct.
Answer:
c
Step-by-step explanation:
i took the test 4 days ago
Marissa said that multiplying 8.0 by 1,000,000 would increase the value of the 8 because there would be 6 more zeros after the decimal point. Explain what is wrong with marissa's statement
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There are three numbers that are their own cube roots. What are the numbers?
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Final answer:
The three numbers that are their own cube roots are 0, 1, and 8.
Explanation:
The three numbers that are their own cube roots are 0, 1, and 8.
A cube root of a number is a value that, when raised to the power of 3, gives the original number. For example, the cube root of 8 is 2 because 2³ = 8. Similarly, the cube root of 0 is 0 and the cube root of 1 is 1.
So, the numbers that are their own cube roots are 0, 1, and 8.
The equation of A=25w Gives the area A (In square feet) of a rectangular dance floor with a width of W feet
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Find 9*4 1/3 mentally using the distributive property
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117/4
Hope this was helpful :)
Use a protractor to find the measure of each angle in the circle
Answers
Rectangle A has side lengths of 6 cm and 3.5 cm. The side lengths of rectangle B are proportional to the side lengths of rectangle A.
What could be the side lengths of rectangle B?
A. 3cm and 1.75cm
B. 5cm and 2.5cm
C.7 cm and 7cm
D. 12cm and 5 cm
E. 5.25cm and 9cm
Answers
Mr. Watkins earns $35 an hour at his new job. During a typical month, he works a total of 160 hours. Mrs. Watkins is a homemaker. After meeting the estimated monthly expenses, how much money will the family have left to spend on other items?
A) $1150
B) $1322
C) $1445
D) $1500
Answers
[tex](35 \times 160) - 4278[/tex]
[tex]5600 - 4278[/tex]
[tex]1322[/tex]
The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She wants to divide the crayons evenly between her 10 students. How many crayons will each student receive? Use c as the variable. Write an equation and solve the problem.
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Which of the binomials below is a factor of this trinomial? x2 + 14x + 40
Answers
Answer:x+4
Step-by-step explanation:
Answer: x + 10
Step-by-step explanation:
Find the surface area of a cone if the height is 14 centimeters and the slant height is 16.4 centimeters.
Answers
Johnson High School has a total enrollment of 1829 students. Season tickets are sold for the basketball season and 604 students buy the tickets. About what percent of the student body purchased season tickets?
Answers
The formula is number of students who bought the tickets
.......................--------------------------------------------------------
.......................number of students enrolled
Ben believes that most of the automobiles in his neighborhood are SUVs. He does a house-to-house survey of parked cars. He surveys 45 cars and only 8 of the cars he finds are SUVs. Yet fully 50% of the town’s automobiles are SUVs. What is the MOST LIKELY explanation for these two facts? A) Ben’s sample is too small to be representative of the entire town. B) SUVs are sometimes hard to distinguish from non-SUVs and Ben made errors. C) Most of the SUVs were on the road, and less popular models were left at home. D) Ben only looked at parked cars instead of asking residents what kind of car they drive.
Answers
Answer:
It’s A Guys!
Step-by-step explanation:
All of the explanations are possible, but surveys need to be done in a way which results in a representative sample. Ben’s sample was not representative of the entire town.
He only asked in his neighborhood not in his whole town. C just doesn’t make sense. B is highly unlikely mathematically speaking, and D was kind of illogical. I thought of picking D, but comparing the two, A was the better answer.
using the graph above, explain the meaning of the following coordinate pairs and decide if it belongs to jazmine or kiara
Answers
If 20% is 3.5, what is 100%?
Answers
3.5 ÷ 0.2 = 17.5 ← answer
Multiply 3.5 by 5.
5 * 3.5 = 17.5
Gtrsoceer please help me
Answers
Triangle ABC has vertices A(1,4), B(???2,4) , and C(???1,???1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. What are the coordinates of C' in the dilated image? Enter your answer in the boxes. PLEASE BE RIGHT
Answers
If you are starting with C as point (1, 1) all you have to do is multiply the coordinates by the scale factor. In this case, the scale factor is 0.25.
So we have: 0.25 x 1 = 0.25
Our new point C' will be (0.25, 0.25)
I hope this helps,
MrEQ
Multiply: (−8x − 15)(−12x2 + 12x + 3)
A) 96x3 + 84x2 − 156x − 45
B) 96x3 + 84x2 − 204x − 45
C) 96x3 + 276x2 − 204x − 45
D) 96x3 − 84x2 − 156x − 45
Answers
if you want the steps you can leave a comment...
How do you work out this question:
Ravi had 237 marbles more than Elliott had. Ravi gave Elliott 165 marbles. Who had more marbles in the end? How many more?
Answers
After mathematics calculations, it is determined that Elliott ends up with more marbles than Ravi by 93 marbles after Ravi gives him 165 marbles.
The question involves Ravi and Elliott and the number of marbles they each have initially and after a certain transaction. To solve the problem, we start with the given information:
1. Ravi originally had 237 marbles more than Elliott.
2. Ravi gave Elliott 165 marbles.
Let's denote the number of marbles Elliott had initially as E. According to the information provided, Ravi had E + 237 marbles.
After Ravi gave Elliott 165 marbles, Elliott's new total would be E + 165, and Ravi's new total would be (E + 237) - 165.
Simplifying Ravi's new total, we get E + 237 - 165 = E + 72.
Now we compare both totals:
Elliott's total after receiving marbles: E + 165 Ravi's total after giving marbles: E + 72
Clearly, Elliott now has more marbles than Ravi by 165 - 72 = 93 marbles.
So Elliott has more marbles, and he has 93 more than Ravi once the transaction is completed.
PLEASE HELP!! Show simple working out
Answers
.. (4*6 +10*10 +15*6 +20*9)/(6 +10 +6 +9) = 394/31 ≈ 12.7
Solve for P=b+2a+2c for b
Answers
b + 2a + 2c = p or unknown answer,
b plus 2 times a plus 2 times c equals p the unknown answer
From there you use the strategy of guess and check to get your answer.
If 2/3 of N is 4, then 1/2 of N is
Answers
3(2/3)N = (4)3
2N = 12
N = 6
1/2N = 6/2 = 3
please help! ill give you brainliest
Answers
for the first set of angles, angle R and angle PQS are congruent because they're both 30 degrees
for the second pair, angle QPR can count for both triangles because both triangles share this angle, so it'll be congruent
Write a algebraic expression for the quotient of 300 and sum of b and 24
Answers
The algebraic expressions for the quotient of 300 and sum of b and 24 would be; 300/(b + 24).
What is an expression?Expression is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that a is the quotient of 300 and sum of b and 24
We have a dividend and a divisor in a division problem.
The first piece (300) is the dividend, the numerator if we are writing it in fraction form or the first number when using the standard division sign.
The divisor is the sum of b + 24 which means we need to find the answer before dividing by it.
Then place a parentheses around it.
300/(b + 24).
This is an expression, there should be NO equals sign.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
What is the slant height for the given pyramid to the nearest whole unit?
Pyramid base = 10 cm Height = 12 cm
A. 7 cm
B. 11 cm
C. 13 cm
D. 16 cm
Answers
To find it, what we should do is use the Pythagorean theorem.
We have then:
d = ROOT ((10/2) ^ 2 + (12) ^ 2)
d = ROOT (25 + 144)
d = ROOT (169)
d = 13 cm
Answer:
C. 13 cm
Answer:
13 cm
Step-by-step explanation:
Done the test.
What is the answer for 3÷3134
Answers
I don't know for sure
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
A. Five of Janine's friends are selected and asked for whom they intend to vote.
B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
Answers
In this case, since Janine has friends that are also in the dance club, they are more likely to vote for her as president because they are friends with her. So, answer A is likely to be biased because the five people sampled are her friends.
Answer C is also biased because the sample chosen already plan on voting for her as president, and they are more than likely to find others who plan to vote for her.
Answer:
The answer is A & C
Step-by-step explanation:
I took the test and got a 90%