For an object moving in a circular path, which quantity is always changing?

What property is illustrated by 5*6=6*5

lara [203]

The commutative property

6 0

2 years ago

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Find the length of the side of rhoumbus whose diagonals are of length 6cm and 8cm.

Artist 52 [7]

Answer:

In a rhombus, the diagonals bisect at right angles. That means half the diagonals form a right angle triangle then we can try the Pythagorean theorem. so -

one side of triangle = 6/2 =3 (half of the diagonal)

other side = 8/2 = 4

a^2 + b^2 = c2

3 ^2 + 4^2 = c^2

9+16 = c^2

c^2=25

c = $\sqrt{25}$ = 5

the hypothenus forms one side of the rhombus and here the hypothenus is 5, so the lenght of a side is 5 !

6 0

2 years ago

Michael baked 60 oatmeal cookies and 45 chocolate chip cookies to package in plastic containers for her friends at school. She w

Scrat [10]

Answer:

3

Step-by-step explanation:

Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.

2 is not possible as 45 is an odd number

3 can divide both 60 and 45

60/3 = 20 oatmeal cookies in each container.

45/3 = 15 chocolate chip cookies in each container.

7 0

2 years ago

The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's p

ASHA 777 [7]

Answer:

$f = 7s -2$

$f + s =53$

Step-by-step explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

$f = 7s -2$

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

$(f+2) + (s + 2) = 57$

$f + 2 + s + 2 =57$

Collect like terns

$f + s =57-2-2$

$f + s =53$

So, the equations are:

$f = 7s -2$

$f + s =53$

5 0

2 years ago

A random sample of 64 freshmen spent an average of 14 hours per week watching television. the sample standard deviation was 32 h

NemiM [27]

Answer:

+/- 1.9983

Step-by-step explanation:

The critical values for a confidence interval for the population mean, with population standard deviation not known, are obtained from the student's t distribution.

The sample size is given as 64. The degrees of freedom will thus be;

sample size - 1 = 64 - 1 = 63

The confidence level is given as 95%. The level of significance will thus be;

100 - 95 = 5%.

The area in the right-tail will thus be 2.5%. Therefore, we looking for a t-value such that the area to its right is 2.5% and the degrees of freedom being 63. From the t-tables we have;

+/- 1.9983

3 0

2 years ago