7. Given a right triangle as shown below, use a calculator to estimate the length of the
missing side to the nearest tenth of a centimeter

7. Given A Right Triangle As Shown Below, Use A Calculator To Estimate The Length Of Themissing Side

Answers

Answer 1

Answer:

D. 11.6 cm

Step-by-step explanation:

The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

[tex] c^2 - b^2 = a^2 [/tex]

Where,

a = x cm

b = 11 cm

c = 16 cm

Thus:

[tex] 16^2 - 11^2 = x^2 [/tex]

[tex] 256 - 121 = x^2 [/tex]

[tex] 135 = x^2 [/tex]

[tex] \sqrt{135} = \sqrt{x^2} [/tex]

[tex] \sqrt{135} = x [/tex]

[tex] 11.61895 = x [/tex]

[tex] x = 11.6 cm [/tex] (nearest tenth)

Answer 2

Answer:

Step-by-step explanation:

11.16


Related Questions

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

Solve each equation.
Show all steps
4) -8(-6-5k)=-232

Answers

the answer is k=4.6. hope this helps

The average of the first 3 weights was 14 pounds. The average of the next 7 was 4 pounds. What was the overall average of the weights?

Answers

Answer:

[tex]Average = 10[/tex]

Step-by-step explanation:

Given

[tex]First\ Three = 14[/tex] --- Average

[tex]Next\ Seven= 4[/tex] --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

[tex]\frac{x}{3} = 14[/tex]

Solve for x

[tex]x = 14 * 3[/tex]

[tex]x = 42[/tex]

Represent the sum of the next seven with y.

So:

[tex]\frac{y}{7} = 4[/tex]

Solve for y

[tex]y = 4 * 7[/tex]

[tex]y = 28[/tex]

The overall average is calculated as thus:

[tex]Average = \frac{x + y}{7}[/tex]

[tex]Average = \frac{42 + 28}{7}[/tex]

[tex]Average = \frac{70}{7}[/tex]

[tex]Average = 10[/tex]

The lines below are perpendicular. If the green line has a slope of 1/7, what is
the slope of the red line?

Enter your answer as an integer or a fraction in
lowest terms.

Answers

Answer:

-7

Step-by-step explanation:

Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52

Answers

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

marcos is making three tile pictures.​

Answers

Answer: 360

Step-by-step explanation:

310 + 50 = 360

Answer:

1710

Step-by-step explanation:

310 x 3 = 930

260 x 3 = 780

930 + 780 = 1710

each friend received 5/4 of a pound of berries, how many friends are sharing berries?​

Answers

Answer:

2

Step-by-step explanation:

If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.

What is the lenght of the hypothesis in the triangle?

Answers

Answer:

ok in this case will represent the height with a the bells with b and the hypotenuse with c so it will be c squared is equals to a squared plus b squared 12 squared + 5 squared is equals to c squared 12 square is 144 while 5 squared is 25 when added it is 169 so csquared is equals to 169 to get c we find √ 169 source is equals to 13

Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?

Answers

Answer:
Option A is correct, when putting 11 or -3 in for x the equation both result in 13, making it true.

the scale on the map is 5cm : 1 km.

Answers

Answer:

lol do you need help with anything

Step-by-step explanation:

So do you need help or ..

john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he leave?

Answers

Answer:

$56.86

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE i'll give you brainliest


When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?

Answers

;;;lll,,,,kmkjjjjhhhhhhhhhhhhhmmmmmmmmmmmmmmmnnnnnnnnnnnnnnnnnnabcdefghijklmnopqr

1.333...percent

Hope it helps

Consider the following.

P = −0.1s3 + 6s2 + 400.

Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.

Answers

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

Lauren is running for president of the student government at UTD. The proportion of voters who favor Lauren is 0.8. A simple random sample of 100 voters is taken. What are the expected value, standard deviation, and shape of the sampling distribution of proportion (, respectively?

Answers

Answer:

 [tex]\mu_{x} = 0.8[/tex]

   [tex]\sigma  =  0.095  [/tex]  

  The shape of this sampling distribution is approximately normal

Step-by-step explanation:

From the question we are told that

  The population proportion is [tex]p = 0.8[/tex]

  The sample size is  n = 100

   

Generally the expected value of this sampling distribution is mathematically represented as

          [tex]\mu_{x} = p = 0.8[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

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

=>  [tex]\sigma  =  \sqrt{ \frac{0.8 (1- 0.8 )}{100 } } [/tex]    

=>  [tex]\sigma  =  0.095  [/tex]      

Generally given that the sample is  large (i.e  n  >  30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal

jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age

Answers

Answer:

you could do 27+x=30

Step-by-step explanation:

The heights of adult females are normally distributed. If you were to construct a histogram of 40 randomly selected​ women, what shape would the histogram of those heights have and what pattern would you expect in a normal quantile plot of these​ data?

a. The histogram would by approximately bell-shaped, and the normal quantile plot would have data points that would be bell-shaped.
b. The histogram would by non-symmetric, and the normal quantile plot would have data points that would be non- linear.
c. The histogram would by approximately bell-shaped, and the normal quantile plot would have data points that would be non-linear.
d. The histogram would be approximately bell-shaped, and the normal quantile plot would have data points have follow a straight-line pattern.

Answers

Answer:

d. The histogram would be approximately bell-shaped, and the normal quantile plot would have data points have follow a straight-line pattern.

Step-by-step explanation:

Since the variable is normally distributed, the histogram of women's height should be approximately bell shaped (if the data was obtained form a random sample).

Again, the variable is normally distributed, therefore, the quantile plot should follow a straight line pattern (a diagonal line to be more precise).

Each step in a procedure to solve this equation is shown.



Equation: 5x−7=3(x+1)

Step 1: 5x−7=3x+3

Step 2: 2x−7=3

Step 3: 2x=−4

Step 4: x=−2



In which step is the first error made?




a. from the original equation to step 1


b. from step 1 to step 2


c. from step 2 to step 3


d. from step 3 to step 4

Answers

Answer:

from step 3 to step 4

Step-by-step explanation:

because 2x-7=3 is equal to 2x=3+7=10

not 2x=-4 so 3 is false so even four is incorrect

The sign of the product of –35 and –625 is

Answers

Answer:

positive

Step-by-step explanation:

positive

negative*negative=positive

-35*-625=21875

Select all the possible (x,y) coordinates for the following linear equation y=3x+2

Answers

Answer:

x = 2/3

Step-by-step explanation:

To find x-intercept/zero, subtract y = 0

0 = 3x + 2

Move variable to the left-hand side and change its sign

-3 = 2

Divide both ides of the equation by - 3

x = - 2/3

Solution

x = - 2/3

Alternate form

x = - 0.6

Kane is training for a marathon. He starts by running 3 miles during every training session.

Each week plans to increase the distance of his run by mile.
1/4
Let w be the number of weeks. Write an expression to show the distance Kane
runs in a training session after w weeks.

Answers

Answer:

1/4w + 3 the answer has to be 20 characters long so ignore this

Answer:

Step-by-step explanation:

Given

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

Where

Substitute these values

Open Bracket

Collect Like Terms

Take LCM

if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest ​

Answers

Answer:

∠6 = 130°

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

∠2 = ∠6 = 130°

PLEASE SOLVE NOW!! I’m in desperate need

Answers

Answer:

sqr of 161

Step-by-step explanation:

8^2 + x^2 = 225

64+x^2 = 225

161=x^2

sqr of 161 = x

hope i helped!!!

Step-by-step explanation:

[tex] {15}^{2} - {8}^{2} = (15 + 8)(15 - 8) \\ = 23 \times 7 = 161[/tex]^-2

An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.53 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places.

Answers

Answer:

The 90% confidence interval is  [tex] 2.47<\mu < 2.59 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  6

   The sample mean is  [tex]\= x = 2.53 \ mm[/tex]

   The standard deviation is  [tex]\sigma  =  0.090\ mm[/tex]

Given that the confidence level is 90% then the level of significance is  

        [tex]\alpha =  (100 - 90)\%[/tex]

=>     [tex]\alpha =  0.10 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E =1.645 *  \frac{0.090 }{\sqrt{6} }[/tex]

=>   [tex]E = 0.060 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]2.53  -0.060 <\mu < 2.53  + 0.060[/tex]

=>   [tex] 2.47<\mu < 2.59 [/tex]

   

Is 1.994 greater or lesser than 1.493

Answers

Answer:

greater than

Step-by-step explanation:

1.994 is closer to 2 than 1.493 so it is greater!

PLEASE HELP!!! 30 POINTS
Solve the inequality for x. Show each step of the solution.
12 + 7 > 9(2 − 3)− 8

Answers

Answer:

True

12+7>9(2-3)-8

19> (-9)-8

19>-17

Step-by-step explanation:

Answer:

12+7=19 and 9(2-3)-8=-17

Step-by-step explanation:

The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates

point S.

Answers

Answer:

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Step-by-step explanation:

Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:

[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)

Now clear S in the previous expression:

[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)

Then, the coordinates of point S are:

[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]

[tex]S(x,y) = (8, -18)[/tex]

The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].

Of 1000 randomly selected cases of lung cancer, 838 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places. (b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Answers

Answer:

0.8152 ≤ p ≤ 0.8608

579

Step-by-step explanation:

Given the following :

Samples size n = 1000

Deaths within 10 years, p = 838

α = 95%

Construction a two way confidence interval:

p ± Zα/2 * √p(1-p) / n

point estimate p = 838/n = 838/1000 = 0.838

Z0.05/2 = Z0.025 = 1.96

0.838 - 1.96√0.838(1-0.838) / 1000

0.838 - 1.96*0.0116514 = 0.8152

0.838 + 1.96√0.838(1-0.838) / 1000

0.838 + 1.96*0.0116514 = 0.8608

0.8152 ≤ p ≤ 0.8608

b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03

Error (E) = 0.03

To find the samome size, use the relation:

n = (Zα/2 / E)² * p(1-p)

n = (1.96/0.03)² * 0.838(1-0.838)

n = (1.96/0.03)² * 0.838 * 0.162

n = 4268.4444 * 0.838 * 0.162

n = 579.46

n = 579

Canoe rentals cost $10 plus $4 per hour. A group of friends rent 3 canoes for 3 hours. what is their total cost.

Answers

Answer:

42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

$10 * 3 canoes = $30

$4 * 3 hours = $12

30 + 12 = $42

Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

Answers

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

Given :

Melanie buys 2 shells for $0.80.Rosi buys 3 shells for $1.20.Carlos buys 4 shells for $1.60.

The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:

Step 1 - First determine the value of x and y from the given data.

Points - (2,0.8), (3,1.2), and (4,1.6)

Step 2 - Now, divide y by x in order to determine the proportionality constant.

[tex]r = \dfrac{0.8}{2} = 0.4[/tex]

[tex]r'=\dfrac{1.2}{3}=0.4[/tex]

[tex]r" =\dfrac{1.6}{4}=0.4[/tex]

Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

For more information, refer to the link given below:

https://brainly.com/question/21328304

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