A ladder 8 m long is leaning against a building. How high on the building will the ladder reach when the bottom of the ladder is x = 1m from the building?
Answers
Answer:
7.9
Step-by-step explanation:
this would just be sqrt (8^2 - 1^2) or sqrt 63 or about 7.9
The ladder reaches 7.9 meters when the bottom of the ladder is x = 1m from the building.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
It is given that:
A ladder 8 m long is leaning against a building.
From the data given, a right angle triangle is formed:
Applying the Pythagoras theorem:
Building high² = 8² - 1²
Building high² = 63
Building high = 7.9 meters
Thus, the ladder reaches 7.9 meters when the bottom of the ladder is x = 1m from the building.
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Related Questions
derive
Sinxy = x² + 2xy
Answers
Answer:
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Step-by-step explanation:
Step(i):-
Given
sin xy = x² + 2xy ...(i)
Apply
[tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]
[tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]
Differentiating equation (i) with respective to 'x', we get
[tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]
[tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]
[tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]
[tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]
Simplify each expression.
ASAP PLEASE
Answers
Answer:
3
2y
Step-by-step explanation:
[tex] \bold{In \: {e}^{3} = 3In \: {e} = 3 \times 1 = 3} \\ \\ \bold{In \: {e}^{2y} = 2yIn \: {e} = 2y \times 1 = 2y}[/tex]
Follow the steps to provide to answer the question
1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.
Answers
Answer:
Step-by-step explanation:
1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.
Factors of 8 Factors of 12
1 8 1 12
2 4 2 6
3 4
The GCF = 4
2. I need the expression rewritten in order to help you.
Find the area of the trapezoid
Answers
Answer:
1/2(l1+l2) is the area of trapezium
Answer:
A=a+b /2h
Step-by-step explanation:
using number line what is 4-5
Answers
Answer:
-1Step-by-step explanation:
4 - 5 = -1
Count:
4, 3, 2, 1, 0, -1
the beginning is 7 ÷ 3 help
Answers
Lol how old r u like 10
por favor ayudenme que tenga explicación y respuesta los seguiré pero plisss
Answers
Step-by-step explanation:
es fácil -2y + 3y - 5y=
-4y
37 + 1/7 (-1/2) = ??
Answers
Answer:
517/14 good luck !!
Step-by-step explanation:
Answer: answer in photo, hope it helps.
Step-by-step explanation:
Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?
Answers
Answer:
Jane is 13.
Step-by-step explanation:
Nolan is 11
Jillian is 12 because Jillian is 1 year older than Nolan.
Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.
HELP ME PLEASE I DO NOT KNOW THIS! WILL GIVE BRAINLIEST
Answers
Answer:
8 is the answer
Step-by-step explanation:
Pls mark me the brainliest ☺☺
find domain (y-10)/y^2-3
Answers
Answer:
[tex] y 3 - 10 {y 2} - 3[/tex]
Classify. * 6x^2 - 22x^5
a. quadratic binomial
b. quadratic polynomial
c. quintic binomial
d. not a polynomial
Answers
Answer:
Step-by-step explanation:
C
I will give you brailnest answer
Answers
Answer:1/4 of is the correct answer d is the dependant variable.
Step-by-step explanation:
What is the reciprocal of 1,058
Answers
Answer:
0.00094517958
Step-by-step explanation:
this is a answer I think so
The larger of two numbers on three times the smaller. if the sum of the two numbers is 36 find the number?
Answers
Answer:
9 and 27
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is three times the smaller.
Larger number = 3x
ATQ,
x+3x = 36
4x = 36
x = 9
Smaller number = 9
Larger number = 3x = 3(9) = 27
So, the numbers are 9 and 27.
I need help quick answer if you know please
Answers
Answer:
B
Step-by-step explanation:
500 x 6 = 3000
154 x 6 = 924
Hope that helps!
Find the Area: 12 ft 12 ft
Answers
a=12 ft
Po=(0.25×π×a²)
Pc=a²+0.5×Po
Pc=a²+0.5×(0.25×π×a²)
Pc=a²×(1+0.5×0.25×π)
Pc=a²×(1+0.5×0.25×π)
Pc=144×(1+0.5×0.25×π)
Pc≈200.55 ft²
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.
Answers
Answer:
Test statistic | t| = |-2.0607| = 2.0607
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 6.0 parts / million
The mean of sample x⁻ = 5.6ppm
The variance of the sample = 0.49
The standard deviation of the sample (s) = √0.49 = 0.7
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]
t = -2.0607
Final answer:-
Test statistic | t| = |-2.0607| = 2.0607
Help me. Will give brainliest.
Answers
Answer:
63
Step-by-step explanation:
how to answer dissimilar and similar fraction using addition and subtraction?
Answers
Answer:
Make their denominators equal using the concept of least common multiple. Then subtract their numerators accordingly. Rewrite each fraction to its equivalent fraction with a denominator equal to the LCM = 30, then subtract their numerators. Make sure to reduce your answer to the lowest term.
Step-by-step explanation:
A market analyst is curious what proportion Los Angeles residents have a landline telephone. A survey of 200
randomly selected Los Angeles residents shows that 96 of those selected have a landline telephone. The analyst
wants to use this data to construct a one-sample z interval for a proportion.
Based on this sample, which of the following is a 90% confidence interval for the proportion of Los Angeles
residents who have a landline telephone?
Answers
Answer:
0.48 ± 0.058
Step-by-step explanation:
Right on khan
pleaseee helppppppppp
Answers
Answer:
y is just being multiplyed by -4 :)
Step-by-step explanation:
in other words -4x
Answer:
y = -4x
Step-by-step explanation:
If p is true and q is false, what is the truth value of p and q?
a. true b. false c. 0 d. 1
Answers
Answer:
i think it will be 0 .....
Use Ratio and Rate Vocabulary
RECORDING SHEET
Harper is buying fabric to make pillows. At the store, 3 yards of
flannel fabric costs $18, and 5 feet of fleece fabric costs $11. Whi
the better buy?
I know the units need to be the same to compare the prices.
First,
the length of the flannel fabric to feet.
The
of feet to yards is 3 feet: 1 yard.
Answers
for fleece, 11/5=5.5 so $5.50 per foot.
flannel is the better but
what is the value of X? (20 points)
Answers
Answer:
54.5
Step-by-step explanation:
[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]
the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?
Answers
Answer:
yesStep-by-step explanation:
yyyyyyyyyyyyyyyyyyyyyy
Andrea Drew the Number line below. She said that 9/8 and 1 equal. Explain Error
Answers
Answer:
Her error was that 1 and 9/8 are not equal. 9/8 is 1/8 larger than 1 is, and therefore can not be equivalent to 1.
On the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
Given that, on the number line Andrea Drew marked 9/8 and 1 and she said that they are equal.
Here, 9/8 =1.125
1.125>1
Therefore, on the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.
Learn more about the number line here:
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What is 1/7 divided by -2 and 2/3
Answers
Answer:
Step-by-step explanation:
1/7 divided by -2 2/3
= 1/7 divided by -8/3 (changed the mixed number to an improper fraction!)
= 1/7 MULTIPLIED by -3/8 (when you divide a fraction, you must switch the sign opposite to what you are doing, in this case dividing, so the opposite of that is multiplying. You also flip the fraction that you are dividing by so -8/3 becomes -3/8)
= -3/56 (a positive times a negative number will result in a negative number!)
I hope this helps, if this is wrong, please specify so I can help :)
13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.
Answers
Answer:
.6
Step-by-step explanation:
Using Bayes' theorem
While s = smoker
n = nonsmoker
D = died
P(s) = .13
P(n) =.87
P(D/s) =0.02
P(D/n) =0.002
P(s/D) = ??
[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]
a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent
Answers
Answer:
Probability = 0.088 ie 8.8%
Step-by-step explanation:
P (I) = 40% = 0.4
P (L) = 35% = 0.35
P (C) = 25% = 0.25
P (EV / I) = 40% = 0.4
P (EV / L) = 75% = 0.75
P (EV / C) = 65% = 0.65
P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]
[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)
[(0.4) (0.4)] / [ 0.4 + 0.75 + 0.65 ]
0.16 / 1.8
= 0.088 ie 8.8%