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3 years ago

Can someone help me out plz ??!

Mathematics

1 answer:

scoray [572]3 years ago

7 0

Answer:

≈ 62.8

Step-by-step explanation:

Using the equal ratios of

$\frac{areaof circle}{areaofsector}$ = $\frac{circleangle}{sectorangle}$ , that is

$\frac{100\pi }{sector}$ = $\frac{2\pi }{\frac{2\pi }{5} }$ = 5, thus

5 × sector = 100π ( divide both sides by 5 )

sector = 20π = 20 × 3.14 = 62.8 units²

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Two pages that face each other in a book have 421 as the sum of their page numbers. What is the number of the page that comes fi

nordsb [41]

Answer:the pages will come on the first is 210

Explanation:

Since we have given that two pages that face each other in a book

i.e. they must be consecutive to each other

so, let the first page number be x

and the second page number be x+1

According to question,

$x+x+1=421\\2x+1=421$

2x=421 -1

2x=420

$x=\frac{420}{2}\\=210$

So, the pages will come on the first is 210

4 0

2 years ago

Which pair is made up of prime numbers 11 & 33 , 42 & 56 , 37 & 67, 57 & 97

Cerrena [4.2K]

Answer:

37 & 67

Step-by-step explanation:

11 & 33

11 - 1, 11

11 is prime

33 - 1, 3, 11, 33

33 is composite number

11 & 33 is incorrect

42 & 56

42 - 1, 2, 3, 6, 7, 14, 21, 42
56 - 1, 2, 4, 7, 8, 14, 28, 56
Both 42 and 56 are composite numbers
42 & 56 is incorrect

37 & 67

37 - 1, 37
67 - 1, 67
Both 37 and 67 are prime numbers
37 & 56 is correct

57 & 97

57 - 1, 3, 19, 57
97 - 1, 97
57 is a composite number, 97 is a prime number
57 & 97 is incorrect

3 0

3 years ago

Can you do this 3(2x-6)-7x+4?

Serjik [45]

3(2x-6)-7x+4
3*2x=6x. 3*-6=-18
-7x+6x=-1x. -18+4=-14
-1x/-1=x. -14/-1=14
X=14

7 0

3 years ago

I NEED HELP PLEASEE

xenn [34]

$\bf \cfrac{1+cot^2(\theta )}{1+csc(\theta )}=\cfrac{1}{sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\implies \cfrac{1+\frac{cos^2(\theta )}{sin^2(\theta )}}{1+\frac{1}{sin(\theta )}}\implies \cfrac{~~\frac{sin^2(\theta )+cos^2(\theta )}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}\implies \cfrac{~~\frac{1}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}$

$\bf \cfrac{1}{\underset{sin(\theta )}{~~\begin{matrix} sin^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}\cdot \cfrac{~~\begin{matrix} sin(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{sin(\theta )+1}\implies \cfrac{1}{sin^2(\theta )+sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\ne \cfrac{1}{sin(\theta )}~\hfill$

5 0

3 years ago

1. Type mmnn using exponents.

kompoz [17]

Step-by-step explanation:

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$\bold{6.}\\\\3x^2\ for\ x=6\ /\text{put x = 6 to the expression}/\\\\3(6)^2=3(36)=108\\\\\bold{7.}\\\\3y^2+2y\ for\ y=3\ /\text{put y = 3 to the expression}/\\\\3(3)^2+2(3)=3(9)+6=27+6=33$

7 0

3 years ago

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