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2 years ago

Just wondering is 71 a PRIME number? ≡≡≡

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

7 0

Yes 71 is a Prime Number

maxonik [38]2 years ago

7 0

Yes it is. When a number has more than two factors it is called a composite number

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Find the volume of the solid generated by revolving the region bounded by

Rama09 [41]

Answer:

$V =\dfrac{25\pi}{\sqrt{2}}$

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

$V = \int_a^b(\pi y^2)dx$

a and b are the limits of the integrals

now,

$V = \int_a^b(\pi (5\sqrt{sinx})^2)dx$

$V =25\pi \int_{\pi/4}^{\pi/2}sinxdx$

$\int sin x = - cos x$

$V =25\pi [-cos x]_{\pi/4}^{\pi/2}$

$V =25\pi [-cos (\pi/2)+cos(\pi/4)]$

$V =25\pi [0+\dfrac{1}{\sqrt{2}}]$

$V =\dfrac{25\pi}{\sqrt{2}}$

volume of the solid generated is equal to $V =\dfrac{25\pi}{\sqrt{2}}$

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3 years ago

In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?

ycow [4]

Answer:

Cathy was born in 1980 and she was 18 years old in 1998

Step-by-step explanation:

Equations

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

$x=1000a+100b+10c+d$

In 1998, Cathy's age was

$1998-(1000a+100b+10c+d)$

And it must be equal to the sum of the four digits

$1998-(1000a+100b+10c+d)=a+b+c+d$

Rearranging

$1998=1001a+101b+11c+2d$

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

$1998=1001+909+11c+2d$

Operating

$88=11c+2d$

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

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3 years ago

Third term of (x + 3) 12

dem82 [27]

12 I’m pretty sure because you have x then 3 then 12

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2 years ago

Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,

viva [34]

Answer:

scale factor = $\frac{1}{3}$

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = $\frac{A'B'}{AB}$ = $\frac{2}{6}$ = $\frac{1}{3}$

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2 years ago

(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ? WILL GIVE BRAINLIEST

balu736 [363]

Answer:

under

Step-by-step explanation:

change the underminator, we have

7×(x-2)-4×(3x+5)=-3×7×4

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x=10

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2 years ago