A dime has a radius of about 0.85 cm what is the closest circumfrence

What is 8 ninths plus 7 fifteenths

Ymorist [56]

Answer:

122/90 or 1 32/90

Step-by-step explanation:

8/9 and 7/15 have the common denominator of 90.

Step 1:

8/9 + 7/15

Step 2:

80/90 + 42/90

Step 3:

122/90

Answer:

122/90 or 1 32/90

Hope This Helps :)

6 0

3 years ago

A house with a rectangle base is built on a plot of land. The southwest corner of the plot is designated with coordinates (0,0).

serious [3.7K]

Answer:

The width of the base of the house is 25 feet

The length of the base of the house is 35 feet

Step-by-step explanation:

Displayed in the attachment is the plot of land drawn out in WXYZ(not to scale)

With the southwest corner coordinate (0,0) as the reference point

Plotted out is the base of the house built on it with coordinates (20,20),(5,40),(33,61),(48,41)

With A and B labelled width and length respectively

Length between coordinates is given as

Length=√(〖(x2-x1)〗^2+(〖y2-y1)〗^2 )

To find the width A,the points with coordinates (20,20) and (5,40) are used or (33,61) and (48,41)

Using point with coordinates (20,20) and (5,40)

Width, A=√(〖(5-20)〗^2+(〖40-20)〗^2 )=35

with x1=20, y1=20, x2=5, y2=40

Also try using points with coordinates (33,61) and (48,41).You will get same answer(opposite sides of a rectangle are equal)

To find the length B,the points with coordinates (48,41) and (20,20) are used or (5,40) and (33,61)

Using point with coordinates (48,41) and (20,20)

Length,B=√(〖(48-20)〗^2+(〖41-20)〗^2 )=25

with x1=20, y1=20, x2=48, y2=41

Also try using points with coordinates (5,40) and (33,61).You will get same answer(opposite sides of a rectangle are equal)

3 0

3 years ago

Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units

mojhsa [17]

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

7 0

2 years ago

IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha

Arlecino [84]

Answer:

22.86% probability that the persons IQ is between 110 and 130

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 15$