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earnstyle [38]
3 years ago
11

2 A and B please with explanation! BIG POINTS please explain

Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the ratio equality for circles

\frac{arc}{C} = \frac{angleatcentre}{360}

(a)

Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus

\frac{45}{C} = \frac{270}{360} = \frac{3}{4} ( cross- multiply )

3C = 180 ( divide both sides by 3 )

C = 60 mm

(b)

Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus

\frac{3.3}{C} = \frac{225}{360} ( cross- multiply )

225C = 1188 ( divide both sides by 225 )

C = 5.28 cm

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Help me with this... ​
marin [14]

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?
frozen [14]
Short Answer 28
If I'm reading this correctly it is 28.
2 is a prime number.
7 is also a prime

They are multiplied together to give 2*7 = 14

When you divide 28/14 you get 2 which is the smallest prime. 
28 <<< Answer
5 0
3 years ago
Please help me. (20 points)
alexandr402 [8]

Hello from MrBillDoesMath!

Answer:

75

Discussion:


A plane triangle has 180 degrees. Using this in the diagram gives  

x + 81 + angle BAC = 180             (***)

(The diagram is a bit fuzzy but I think the above numbers are accurate)

The diagram also shows that  (156 + angle BAC )= 180 as a straight line has 180 degrees. So

angle BAC = 180 - 156 = 24

Substituting this in (***) above gives

x + 81 + 24 = 180 =>

x + 105 = 180   =>               (as 81 + 24 = 105)

x = 180  107 = 75


Check: Does

x + 81 + angle BAC = 180   ?

75 + 81 + 24 = 180.  Yes




Thank you,

MrB

7 0
2 years ago
In the app you are creating, a duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down. Write a
nevsk [136]

Answer:

The rule of the translation is  (x,y) ----> (x+3,y-6)

The coordinates of the duck’s final position are (4,-3)

Step-by-step explanation:

we know that

A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down

That means -----> The rule of the translation is

3 units right ----> x+3

6 units down ---> y-6

so

(x,y) ----> (x+3,y-6)

To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position

so

(1,3) ------> (1+3,3-6)

(1,3) ------> (4,-3)

8 0
2 years ago
Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n
kogti [31]

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

4 0
3 years ago
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