The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?

Answers

Answer 1

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\( \sqrt{x { }^{2} } = \sqrt{128} \)

x=

\(8 \sqrt{2} \)

Parameter=16+8

\(8 \sqrt{2 } + 8 \sqrt{2 } + 16\)

\(16 \sqrt{2} + 16\)


Related Questions

Terri buys five and seven-eighths ounces of chocolate chips. She uses four and four-sixths ounces in a recipe. How many ounces of chocolate chips does she have left?

Answers

Answer:

1  5/24 ounces

--------------------------

Find the difference of the initial and used amounts:

5 7/8 - 4 4/6 = 5 - 4 + 7/8 - 4/6 =                 Combine whole and fraction parts1 + 7/8 - 2/3 =                       Simplify1 + 21/24 - 16/24 =                Common denominator is 241 + 5/24 =                              Convert to mixed fraction1 5/24

In a data distribution that is skewed left.

In a data distribution that is skewed left.

Answers

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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The temperature of a liquid in an experiment changes by -10.4 degrees F from the beginning of the experiment to the first check. After making some adjustments, the scientist checks the temperature again later and finds that it is 17.7 degrees F, which is 1/3 what it was at the time of the first check. What was the initial temperature of the liquid? Enter answer as a decimal.

Answers

Step-by-step explanation:

17.7° = 1/3 of first check.

the temperature at the first check was therefore

3×17.7 = 53.1° F

and the temperature at the first check was 10.4° less than the initial temperature.

so, the initial temperature was 53.1 + 10.4 = 63.5° F

What is the slope-intercept equation for the line below? (4, 3); (0, 1) A . y = - 2x + 1 B . y = - 1/2 * x + 1 . y - 1/2 * x + 1 D. y = 2x + 1

Answers

y = 1/2x + 1 is the line's equation in slope-intercept form.

Slope-intercept form of a line

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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What is the equation of the line in slope intercept form?

What is the equation of the line in slope intercept form?

Answers

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R charts. Eight samples, each containing 10 detergent boxes, were selected from different batches. The data in fill weight (in ounces) of the eight samples is presented below.

Sample Sample Mean Sample Range
1 5.8 0.42
2 6.1 0.38
3 16.02 0.08
4 15.95 0.15
5 16.12 0.42
6 6.18 0.23
7 5.87 0.36
8 16.2 0.4


If A2 for the sample size is 0.3080, the lower controllimit for the x-bar chart is___________

Answers

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

Match the correct word with it's definition

Match the correct word with it's definition

Answers

Answer:

Rule by a small group : Oligarchy

Rule by Citizens : Democracy

Rule by No one Anarchy

Rule by king or Queen : Monarchy

answer number 3 pls my homework

answer number 3 pls my homework

Answers

Answer:

0.59

Step-by-step explanation:

Below is the computer output for the appraised value (in thousands of dollars) and number of rooms for houses in East Meadow, New York. Predict the price of a 9 room house (in thousands of dollars) The regression equation is value 748+19.7 rooms Coef 9.718 R-sq 43.896 Stdev 19.04 2.631 t-ratio 3.93 7.49 Constant Rooms S 29.05 Analysis of Variance Source R-sq (adj) 43.0% MS 47398 844 DF 47398 60775 108173 Regression rror Total 72 73 a) 370.262 b) 257.262 c) 252.262 d) 362.262 e) 756.786 f) None of the above

Answers

Answer:

The predicted price of a 9 room house is $925.3 K.

Step-by-step explanation:

The regression equation for predicting the appraised value (in thousands of dollars) from the  number of rooms for houses in East Meadow, New York is as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

Compute the price of a 9 room house as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

         \(=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3\)

Thus, the predicted price of a 9 room house is $925.3 K.

The price of a 9-room house is (c) $252.262

The regression equation is given as:

\(\mathbf{y = 74.8 + 19.7 \times rooms}\)

For a 9-room house, we have:

Rooms = 9

Substitute 9 for rooms in the above regression equation

\(\mathbf{y = 74.8 + 19.7 \times 9}\)

Multiply

\(\mathbf{y = 74.8 + 177.3}\)

Add

\(\mathbf{y = 252.1}\)

The closest to this value is (c) $252.262

Hence, the price of a 9-room house is (c) $252.262

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Find the volume of a box that is 2 in x 4 in x 3 inch

Answers

Answer:

24in

Step-by-step explanation:

2*3*4= 24

Chuck had 30 dollars to spend on 3 gifts. He spent 11
3
4
dollars on gift A and 5
1
2
dollars on gift B. How much money did he have left for gift C

Answers

Answer:

I think he had 4 left over

At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 . How many child tickets were sold that day?

Answers

The number of child ticket sold on that day is 69.

How to find the number of ticket sold using variables?

At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 .

Therefore,

let use variables to represents the number of child and adult tickets sold.

let

variable x = number of child ticket sold

variable y = number of adult tickets sold

Therefore,

5.80x + 9.30y = 893.10

x + y  = 122

multiply equation(ii) by 5.80

5.80x + 9.30y = 893.10

5.80x + 5.80y = 707.6

3.5y = 185.5

y = 185.5 / 3.5

y = 53

Therefore,

x = 122 - 53

x = 69

Hence, the number of child ticket sold on that day is 69.

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Enter the symbol (<, >, or =) that correctly completes this comparison.
0.147 0 0.174

Answers

Answer:

<

Step-by-step explanation:

.174 is greater than .147

What is an explicit rule in math?

Answers

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.

Step-by-step explanation:

Answer:

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

Step-by-step explanation:

i need help with number 70

i need help with number 70

Answers

The volume of the rectangular prism is of 28.6875 mm³.

What is the volume of a rectangular prism?


The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

For this problem, the dimensions are:

2(1/8)mm = 2 + 1/8 = 2.125 mm.6(3/4)mm = 6 + 3/4 = 6.75 mm.2 mm.

Hence the volume is:

V = 2.125 x 6.75 x 2 = 28.6875 mm³.

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Find the standard form of the equation of a circle Center (4,-2) and tangent to the line x=1

Answers

According to the given data we have the following:

circle Center (4,-2)

tangent to the line x=1

To finde the standard form of the equation we would have to make the following:

According to the data the center is (h,k)=(4,-2)

using the following formula we can find the equation:

\((x-h)^2+(y-k)^2=r^2\)

Since the tangent line is x=1 and r=4-1=3

Therefore, the standard form of the equation of a circle

Center (4,-2) and tangent to the line x=1 would be the following:

\((x-4)^2+(y+2)^2=3^2\)

In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.

Give your answers as decimals, to three places

< p <










What is the expected value of �?

Answers

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

Confidence Interval

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

The expected value

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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find the inverse of each function

find the inverse of each function

Answers

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081​

8. Choose all decimals that are equivalent to (7 x 100) + (5 1) + (8 7) + X 10 (1 100). 75.081 705.810

Answers

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure used in longitudinal follow-up of high-risk infants. The scores on the MDI have approximately a normal distribution with a mean of 100 and standard deviation of 8. What proportion of children have MDI of at least 80? Choose one answer. A- .3446 B- .6554 C- .0062 D- .9938

Answers

The proportion of children with an MDI of at least 80 is approximately 0.0062.

Hence, option (c) is the correct answer.

The proportion of children who have an MDI of at least 80 can be found by using a standard normal table.

Now we will find the z-score for 80, and then find the corresponding cumulative probability.

With mean = 100 and

standard deviation = 8,

we have z = (80 - 100) / 8

=> z = -2.5.

Using a standard normal table,

we find that the cumulative probability for z = -2.5 is approximately 0.0062.

The standard normal distribution table is a collection of regions from the standard normal distribution, sometimes referred to as a bell curve, and it shows the size of the region under the bell curve and to the left of a particular z-score to illustrate probabilities of occurrence in a specific population.

The required standard normal table is attached below:

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The Mental Development Index (MDI) of the Bayley Scales of Infant Development is a standardized measure

In Linda’s class of 20 students 14 of the students will practice for the school play. What percent of the class will practice for the school play?

Answers

Answer:

70%

Step-by-step explanation:

14/20= 0.7 = 70%

What is the answer to this question?

What is the answer to this question?

Answers

Answer:  inscribed angle

Step-by-step explanation:  

inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

811570 rounded to nearest hundred thousand

Answers

Answer:

800,000

Step-by-step explanation:

8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place

It rounds down as its nowhere near 900,000 which changes all its digits.

Find the distance between the points. Round to the nearest tenth.
(1, 3) and (5.0)

Answers

1,2.6.0 yahhh feeeellll meeeeeeeer

12a-12b+12c please help to simplify

Answers

Answer:

12(a+b+c)

Step-by-step explanation:

how to verify:

Distribute 12 and you'll get the original expression

I hope my answer was helpful!

Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.

What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.

Answers

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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The price of a shirt is $20.50, but you have a coupon that lowers the price by 40%. What is the price of the shirt after using the coupon? *

Answers

Answer:

$12.30

Step-by-step explanation:

hope this helps!

Answer:

8

Step-by-step explanation:

5/6 , 7/18 , 11/24 , 19/36 in descending order

Answers

Answer: 5/6, 19/36, 11/24, 7/18

Step-by-step explanation:

Descending order is going from largest to smallest. We can do this by comparing the fractions. We make all the fractions have the same denominator. Then we will see which has the larger numerator.

\(\frac{5}{6} , \frac{7}{18} , \frac{11}{24} , \frac{19}{36}\)

A common denominator we can use is 72, since it is a common multiple.

\(\frac{60}{72} ,\frac{28}{72}, \frac{33}{72}, \frac{38}{72}\)

Now that all the numbers have the same denominator, we compare to see which number is largest to smallest.

\(\frac{60}{72} ,\frac{38}{72} ,\frac{33}{72} ,\frac{28}{72}\)

With our descending order, let's put it back into the original fractions.

\(\frac{5}{6} ,\frac{19}{36} ,\frac{11}{24} ,\frac{7}{18}\)

15+(10-4)/2 simplify expression

Answers

Answer:

yeah

Step-by-step explanation:

brother

ammm it was easy

did you make fun?

15+(10-4)/2 simplify expression

A
68°
B
32°
D
77
11x-33
[?] C
Enter

A68B32D7711x-33[?] CEnter

Answers

Answer:

3 < x < 10

Step-by-step explanation:

0 < 11x-33 < 7733 < 11x < 1103 < x < 10
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