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4 years ago

These numbers form an addition and subtraction fact family: 6, 5, 11 Write the fact family formed by these numbers.

Mathematics

1 answer:

dezoksy [38]4 years ago

3 0

6 + 5 = 11
5 + 6 = 11
11 - 5 = 6
11 - 6 = 5

hope this helped!

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The area of the regular hexagon is 169.74 ft2 what is the perimeter, rounded to the nearest tenth

Bess [88]

Answer:

Perimeter of given regular hexagon is 48.5 ft.

Step-by-step explanation:

Let ABCDEF be the regular hexagon as shown in the attached figure.

O be the intersection point of the diagonals EB, FC and AD.

As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.

In other words,

$\triangle EOD, \triangle DOC, \triangle BOC, \triangle AOB, \triangle AOF , \triangle FOE$ are equilateral $\triangle s$ .

Area of an equilateral $\triangle$ is defined as :

$\dfrac{\sqrt{3}}{4} \times a^{2}$

Where a is the side of $\triangle$ .

Area of hexagon = $6 \times \dfrac{\sqrt{3}}{4}\times a^{2}$

We are given that area of hexagon = 169.74 $ft^{2}$

Let s be the side of hexagon.

$\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft$

A regular Hexagon is made up of 6 equal sides, so

Perimeter of a regular hexagon = $6 \times side$

Perimeter = $6 \times 8.08$

$\Rightarrow 48.5 ft$

So, perimeter of given regular hexagon is $48.5 ft$ .

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3 years ago

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3 years ago

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Sedaia [141]

Answer:

Step-by-step explanation:

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3 years ago

A distribution of grades in a course where A=4, B=3, etc.

xenn [34]

Answer:

a. P(x= at least 2)= 1- P(no pass)= 1- 0.27= 0.73

b. 0.55

c. Expected Value = mean = 2.35 which is more than C grade that is grade B

d. variance= 1.5675

standard deviation =1.252

e. Their grade would be from (73- 100)

or 3 as it has the highest probability

Step-by-step explanation:

X P(X) X .P(X) X² X².P(X)

0 0.1 0 0 0

1 0.17 0.17 1 0.17

2 0.21 0.42 4 0.84

3 0.32 0.96 9 2.88

4 0.2 0.8 16 3.2

∑ 10 1 2.35 30 7.09

Let X represent an event that the student has passed with at least a 2.

The probability of not passing (or below 2) is 0.1+ 0.17= 0.27

Then using law of complementation

a. P(x= at least 2)= 1- P(no pass)= 1- 0.27= 0.73

b. Let Y represent the event that a student has an A (4) given that he has passed the class with at least a C (2)

P(x)= 0.73

P(A)= 0.4

P(Y)= P(A)/P(X)= 0.4/0.73=0.55

c. Expected value= mean = 2.35 which is greater than C , Hence grade B

First we find the mean ∑X.P(X)= 2.35

d. Variance = ∑X².P(X) - (∑X.P(X)²= 7.09- (2.35)² = 7.09- 5.5225=1.5675

Standard Deviation = square root of Variance = √1.5675= 1.252

e. P(all pass) = P(A) +P(B) +P(C)= 0.2+ 0.32+ 0.21= 0.73

7 0

4 years ago

What is the scale factor from triangle PRQ to triangle SUT

Alex

Answer:

Scale factor is 1.5

Step-by-step explanation:

ST = PR

10/15

= 1.5

8 0

3 years ago