All categories

2 years ago

The lengths of the two diagonals of a rhombus are 6 cm and 8 cm. Find the length of its perimeter (in

Mathematics

1 answer:

adelina 88 [10]2 years ago

3 0

Answer:

The perimeter of the rhombus is 20 cm

Step-by-step explanation:

Perimeter of a Rhombus

Given the lengths of the two diagonals of a rhombus, let's call them a and b, the perimeter of the rhombus is given by:

$P=2\sqrt{a^2+b^2}$

The values of the diagonals provided by the question are a=6 cm, b=8 cm, thus the perimeter is:

$P=2\sqrt{6^2+8^2}$

$P=2\sqrt{36+64}$

$P=2\sqrt{100}=2*10$

$P=20\ cm$

The perimeter of the rhombus is 20 cm

You might be interested in

I am trying to get the intersection of 8-16-24-32 and16-32-48

kakasveta [241]

{8, 16, 24, 32}int.{16, 32, 48}={16, 32}

4 0

3 years ago

Please help me with my hw

stellarik [79]

Part 2 is 12.5 cm represents 5km
I worked this out by doing a ratio
5cm=2km
?cm=5km
you have to do 2 times 2.5 to get 5km so you do 5 times 2.5 to get 12.5cm
so the answer is that 12.5cm

6 0

2 years ago

Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute

Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

Step-by-step explanation:

In this case,

The mean M is 3 and
The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%

8 0

3 years ago

A box of chocolates contains 18 chocolate squares, tens of the square are milk chocolate, 5 are dark chocolate, and 3 are.white

Step2247 [10]

Answer:

0.167 ; 0.093

Step-by-step explanation:

Given that:

Total number of chocolate squares = 18 of which÷

Number of milk chocolate square = 10

Dark chocolate square = 5

White chocolate square= 3

Probability of choosing a white chocolate square :

Probability = required outcome / Total possible outcomes

Required outcome = white chocolate square = 3

Number of chocolate square = 18

P(choosing a white chocolate square) = 3 / 18 = 1/6 =

B) probability of randomly selecting a milk chocolate first, replace it, and then select a white chocolate?

With replacement :

First pick :

Number milk chocolate = 10

P(choosing a milk chocolate) = 10/18 = 5/9

Second pick:

Number of white chocolate = 3

P(choosing a white chocolate) = 3 / 18 = 1/6

Hence, since both probabilities are independent :

P(choosing milk, then white chocolate) :

(5/9 × 1/6) = 5/54 = 0.0925 = 0.093

8 0

3 years ago

What is the value of z?

OLga [1]

Answer:

z = 86

Explanation:

90 - 68 = 12
180 - 78 = 102
102 + 12 = 114
180 - 114 = 86

3 0

2 years ago

Read 2 more answers