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tensa zangetsu [6.8K]
2 years ago
5

The variables x and y vary directly. Use the values to find the constant of proportionality, k . Then write an equation that rel

ates x and y . Write any fractions in simplest form.

Mathematics
1 answer:
Vaselesa [24]2 years ago
7 0

Answer:

k = 9/8

y = 9/8x

Step-by-step explanation:

45/40 = 9/8

To check:

40 * 9/8 = 45

Hope this helps!

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The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?
Andreyy89

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

7 0
2 years ago
Owen uses colored pencils on his homework assignment.
geniusboy [140]
21.325 is the correct answer
8 0
3 years ago
Read 2 more answers
The rectangle below has a length of 15 meters and a perimeter of 44 meters. What is the width of the rectangle?
Darina [25.2K]

Step-by-step explanation:

sif ir i tu el tu t uy u uy uy uyy tu tu tu tu tu tu fkfk dj dj dj dj dj dj jhh kg kg tu tu h tu turectangle

5 0
2 years ago
A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the
ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

  1. Arithmetic Mean
  2. Median
  3. Mode
  4. Geometric Mean
  5. Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

6 0
2 years ago
Which expression shows a decimal equivalent to the fraction 13/32? Show work A. 0.41 B. 0.406 C. 0.40625 D. 0.4625
lina2011 [118]

Answer:

[C] 0.40625

Explanation:

To turn a fraction into a decimal, divide the numerator by the denominator.

13 ÷ 32 = 0.40625

  • Your answer is [C] 0.40625
3 0
3 years ago
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