a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances. ​

Answers

Answer 1

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft


Related Questions

pleas help on the second ASAP it was due yesterday.. i dont even understand how to do any of it and i will give brainliest <3

Answers

Answer:

[tex]3x^{4}[/tex]

Step-by-step explanation:

I suggest looking lessons on it online if you don't understand... It's hard to do your work especially if you don't understand it. Or if your online, go to past lessons or something.

Answer:

The answer is 3x^4

Step-by-step explanation:

2950 divided by 67 in partial quotints

Answers

Answer:

Math answers to fraction 2950 divided by 67 can be calculated as follows.

2950/67 math problems division = 44.0298507463. Therefore 44.0298507463 to 2 decimal places= 44.03

2950/67 divided by 2 » (2950/67) ÷ 2 » 44.0298507463 ÷ 2 = 22.0149253731 . Check 2950/67 long division below

Step-by-step explanation:

A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?

Answers

Answer:

$0.46

Step-by-step explanation:

6 apples = $2.82

1 apple = 2.82 / 6

= $0.46

An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes.
274 347 283 307 327 314
303 285 280 391 359 325
Interpret the confidence interval estimate.
a. Based on the sample data, with 90% confidence, the ISP can conclude that the sample mean daily usage time is between _____ minute(s) and _____ minute(s).
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between _____ minute(s) and _____ minute(s).
c. Based on the sample data, the ISP can conclude that 90% of daily usage times are between _____ minute(s) and _____ minute(s).

Answers

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

We are given a   sample size of [tex]n = 64[/tex].

Using a calculator, we find that:

The sample mean is [tex]\overline{x} = 316.25[/tex]The sample standard deviation is [tex]s = 35.68[/tex]

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581

Grace wants to collect data on the weight of her puppy as it grows. She decides to construct a table with age in weeks and weight in kilograms as variables. Will the ordered pairs from Grace’s data represent a function, a relation or a neither?

Answers

It will represent a relation.

How her dogs age relates to its weight.

Solve x
2/x -2 = 3/2x+3​

Answers

Answer:

since we don't have to go back in and you can come over you

If you mean 2/x -2 = 3/2x +3 then its 1/10

If you mean 2/(x-2)= 3/(2x+3) then its -12

(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.

Answers

Answer:

its c

Step-by-step explanation:

Encuentra las coordenadas del punto P(x,y) que divide al segmento P1P2 con coordenadas
de sus extremos P1(x1,y1) y P2(x2,y2) dada la razón r.
P1(-1,6) P2(3,-3) r = ¾

Answers

Usando segmentos de línea, se encuentra que el punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

El punto P1 es dado por (-1,6).El punto P2 es dado por (3, -3).

El punto P divide el segmento en la razón [tex]r = \frac{3}{4}[/tex], o sea:

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

La coordenada x de P1 es -1.La coordenada x de P2 es 3.La coordenada x de P es x.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]x + 1 = 3[/tex]

[tex]x = 2[/tex]

La coordenada y de P1 es 6.La coordenada y de P2 es -3.La coordenada y de P es y.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]y - 6 = -\frac{27}{4}[/tex]

[tex]y = -\frac{27}{4} + \frac{24}{4}[/tex]

[tex]y = -\frac{3}{4}[/tex]

El punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

Un problema similar es dado por https://brainly.com/question/4854238

Can anyone help me with this question?

Answers

Answer: Here you go

Explanation:

Raduis is 2.5cm

Diameter 5cm

Circumference 15.70796cm or 16 rounded up because 2 times pie time 2.5 because 2.5 is the radius which if you calculate is 15.7 because 2 x 3.1415 x 2.5 = 15.7

Rationalize the denominator.

9-10/2
V2+1

Answers

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer:

Step-by-step explanation:

what is the sequre of 9?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The square root of 9 is 3.

√9=3

Hope this helps :)

there are 25 questions in a quiz
every correct answer scores 3 points
each incorrect answer loses 2 points
a question not answered scores o points.
it is possible to finish the quiz with a negative score
what is the minimum score you can get on the quiz ❓

Answers

Points obtained on the quiz increases when the points are earned from

correct responses.

The minimum score from the quiz is -50

Reasons:

The number of questions in the quiz = 25 questions

Number of points for correct answers = 3 points

Number of points lost for incorrect answers = 2 points

Points for question not answered = 0 points

Nature of total points = Positive and negative

Required:

The minimum score one can get on the quiz.

Solution:

The minimum score that can be obtained is when all responses result in a

loss of points, due to the questions being incorrect.

Therefore;

The minimum score = 25 × (-2) = -50

Learn more here:

https://brainly.com/question/19816972

Which of the following is the greatest common factor of 48 and 32?

Answers

Answer:

8

Step-by-step explanation:

cus...

do atoms have potential and kinetic energy? please explain why you think so?

Answers

Energy is a fascinating concept. It can neither be created nor destroyed, but it can be altered. Whenever you use or store energy, you deal wit potential or kenetic energy. Read on as we discuss these two energy forms in greater detail and explore the relationship between them

Answer:

Yes.

Step-by-step explanation:

Atoms have potential energy in covalent bonds which hold them together and kinetic energy when in motion. For instance, when there is an increase in temperature, particles gain in kinetic energy and move faster.

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]


Separate 846 into 3 parts so that the second part is twice the first part and the third part
is triple the second part.
x=1st
2x= and
32x)= 3(2x)

Answers

Answer:

it is 1 ok have fun babby and enjoy your Christmas ok baby bye bye

Answer:

1) 94, 2) 188, 3) 564

Step-by-step explanation:

This is pretty simple. The first thing you want to do is come up with an algebraic equation to solve this. It will be x + 2x + 6x=846 . The first x represents the smallest part, or the first part. The second part is represented by 2x because it is twice the first, and 6x is 3 times the second part which is 6 times the first part. Combine like terms to get 9x = 846. Now isolate the variable by dividing 9 from both sides. This will give you x = 94. Now just plug in the x to find the second and third part.

Hope this helped :)

Rajni bought 2 1/2 kg onion at ₹ 30 1/2 per kg. Find the amount spent by Rajni​

Answers

Step-by-step explanation:

Given that

The cost of 1 kg onions = Rs. 30 1/2

The cost of 1 kg onions = Rs. 61/2

If Rajini bought 2 1/2 kg onions then

The total cost of 2 1/2 kg onions

→ 2 1/2 ×( 61/2)

→ (5/2)×(61/2)

→ (5×61)/(2×2)

→305/4

Rs. 305/4 or Rs. 76 1/4

The cost of 2 1/2 kg onions is Rs. 76 1/4.

wich of the of the following is correct setup to find: a 12% bonus is $ 30.72 of what amout

Answers

This is how you find the answer to what’s 12% of $30.72. 30.72/.12

(1/2)power 5=?? please help

Answers

[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

Triangle ABC is isosceles. What is the measure of angle C?

A. 25°
B. 30°
C. 60°
D. 75°

Answers

The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

pls help i’ll mark brainliest!!
Interpret the slope of the function in the terms of the problem.
25 ml of water are lost every hour
5 ml of water are lost every hour
10 ml wat are lost every hour
2mL of water are lost

Answers

2 ML lost every hour that’s what I think

what is 5 times 3 times 7 add 7

Answers

Answer:

5*3*7+7=112

Step-by-step explanation:

5*3*7=105+7=112

Answer: 112

Step-by-step explanation:

5 x 3 x 7 + 7

5 x 3 = 15

15 x 7 = 105

105 + 7 = 112

Answer is 112

Plz help I need help

Answers

Answer: -3.2b  + 9

Step-by-step explanation:

1. Remove parentheses.

-6.5b + 11 + 3.3b - 2

2. Add -6.5b and 3.3b.

-3.2b + 11 - 2

3. Subtract 2 from 11.

-3.2b + 9

♪Answer : -6.5b + 11 + 3.3b - 2= (-6.5b + 3.3b) + (11 - 2)= (3.3b - 6.5b) + 9 = -3.2b + 9

A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?

Answers

Answer:

b. 3

Step-by-step explanation:

find equation of g(x):

(-16-(-10))/(-3-(-1))=-6/-2=3

apply a point

-16=3(-3)+n

-16=-9+n

n=-7

g(x)=3x-7

find equation of f(x):

f(x)=-2(x+5)

simplify

f(x)=-2x-10

subtract y intercepts

-7-10=3

3

If your heart rate is 155 beats per minute during strenuous exercise, what is the time per beat in units of seconds

Answers

Answer:

5 beats per second

Step-by-step explanation:

statistic operation depends

help on 37 pleaseee (geometry)

Answers

Answer:

Step-by-step explanation:

x = 127

y = 5

z = 31

There are 1,000 students in Sharon's high school. 65% of the students are taking Spanish. How many students are taking Spanish?

Answers

Answer:

650 students are spanish.

Step-by-step explanation:

just say 1,000 people = 100%

then 650 students would = 65%

Hope I helped

65/100 * 1000
= therefore 650 students are doing Spanish.

There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for breakfast. Work out the total number of calories in this breakfast.​

Answers

Answer:

509.6 calories

Step-by-step explanation:

196+196=392 calories

10g of bacon=19.6 calories

60g of bacon=19.6×6=117.6 calories

392+117.6=509.6 calories

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

X1=2-Square root 5 x2=2+ Square root 5

2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.

Answers

Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

At the null hypothesis, we test if the proportion is of 23%, that is:

[tex]H_0: p = 0.23[/tex]

At the alternative hypothesis, we test if this proportion is lower than 23%, that is:

[tex]H_1: p < 0.23[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]

[tex]z = -0.52[/tex]

The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.

Looking at the z-table, z = -0.52 has a p-value of 0.3015.

Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

A similar problem is given at https://brainly.com/question/14639462

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