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4 years ago

Suppose 40 people come to your

Mathematics

1 answer:

tino4ka555 [31]4 years ago

4 0

Step-by-step explanation:

15% as a decimal is 0.15

40*0.15 is 6

6 guests arrive early

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I have two problems in the pictures. I need a bit of help! Please and thank you!

rusak2 [61]

Answer:

Answers are below.

Step-by-step explanation:

Problem 2:

Area = approx. 11.3 (rounded to nearest tenth)

A = 1 / 4b $\sqrt{4a^{2} - b^{2} = }$ 1/4 x 4 x $\sqrt{4 *6^2 - 4^2}=$ 11.31371

11.31371 rounded to the nearest tenth is 11.3

Problem 3: i'm not too sure sorry :(

6 0

3 years ago

Read 2 more answers

I need help with #4 please help

Kitty [74]

Answer:

12b-8+12b-8+9b +8=33b-8

7 0

3 years ago

The difference between two numbers is 9.

laiz [17]

Answer:

first number=15 second number=6

Step-by-step explanation:

lets take the first and second numbers as "a" and "b"

a-b=9

a+2b=27 (solve these equations simultaneously)

eliminating a

-3b= -18

b= 6

then substitute in the first equation

a-6=9

a=9+6

a=15

I really hope you know how to solve equations simultaneously

hope this helped

5 0

3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

$16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1$

which suggests we could use

$\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}$

with $0\le t\le2\pi$ , and we get $z(t)$ from the equation of the plane,

$x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t$

Now use the arc length formula:

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$

$\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt$

$\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}$

4 0

4 years ago

If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.

MA_775_DIABLO [31]

Answer:

q = 4

Step-by-step explanation:

given p and q vary inversely then the equation relating them is

p = $\frac{k}{q}$ ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 = $\frac{k}{16}$ ( multiply both sides by 16 )

464 = k

p = $\frac{464}{q}$ ← equation of variation

when p = 116 , then

116 = $\frac{464}{q}$ ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4

5 0

3 years ago