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3 years ago

A magazine contains thirteen pages. You

Mathematics

1 answer:

n200080 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

because your more likely to open to a page deeper in the magazine

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The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F

hodyreva [135]

Answer:

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

2x=9-1

2x=8

x=8/2=4

Since y=x+1 then y=4+1=5

Therefore, the original number, xy is 45

4 0

3 years ago

Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4

arsen [322]

we are given

$R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k$

now, we can find x , y and z components

$x=cos(8t),y=sin(8t),z=8ln(cos(t))$

Arc length calculation:

we can use formula

$L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt$

$x'=-8sin(8t),y=8cos(8t),z=-8tan(t)$

now, we can plug these values

$L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt$

now, we can simplify it

$L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8sec(t) dt$

now, we can solve integral

$\int \:8\sec \left(t\right)dt$

$=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|$

now, we can plug bounds

and we get

$=8\ln \left(\sqrt{2}+1\right)-0$

so,

$L=8\ln \left(1+\sqrt{2}\right)$ ..............Answer

5 0

3 years ago

At a warehouse the employees can unload 18 trucks in 6 hours what is the unit rate for unloading trucks

NikAS [45]

18/6

18= the number of trucks
6= the number of hours

18/6= 3 trucks per hour

3 0

3 years ago

How can you use a 1/8 cup to measure 2/8 cup cornstarch

Semenov [28]

2/8 ÷ 1/8 = 2

2 of 1/8 cup equal to 2/8 cups

8 0

3 years ago

Read 2 more answers

What is the image of point B (4,6) after the transformation R y=x

Masteriza [31]

Answer:

(6,4)

Thank you and please rate me as brainliest as it will help me to level up

7 0

3 years ago