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3 years ago

The sum of a number n and 4 is 10. What is the value of the sum of n and -1?

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

The value of the sum of n and -1=5

Step-by-step explanation:

Step 1

Get the value of n using the equation below;

The sum of n and 4 is 10 can be expressed in equation form as follows;

n+4=10...equation 1

solving for n;

n=10-4

n=6

The value for n=6

Step 2

Express the sum of n and -1 as follows

n+(-1)=unknown...equation 2

using the value of n solved in equation 1 in equation 2

replace using;

n=6

6+(-1)=6-1=5

The value of the sum of n and -1=5

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Answer:

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4 years ago

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Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector = $\frac{270}{360}$ ×pi×15×15

= 168.75pi

1) Smaller sector = $\frac{360-270}{360}$ ×pi×15×15

= $\frac{90}{360}$ ×pi×15×15

= 56.25pi

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3 years ago

Find the value of X answer in simplest form

Arlecino [84]

Answer:

14.14

Step-by-step explanation:

You can find the value of x using the trig ratio Sine = opposite/hypotenuse.

The sin 45 = 10/x. Solve for x.

x= 10/ sin45

x = 10/0.707

x = 14.14

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3 years ago

What is the sale of the original price?

Lady bird [3.3K]

Answer:

50 dollars

Step-by-step explanation:

40*25%=10

40+10= 50 dollars

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3 0

3 years ago

Read 2 more answers

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

$2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }$

length of curve = $4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))$

length of the curve is = 4(1+1) = 8

<u>conclusion</u>:-

The arrow of the direction or the length of curve = 8

7 0

3 years ago