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MatroZZZ [7]
2 years ago
5

Set up and solve to find the measure of each missing angle.

Mathematics
1 answer:
bekas [8.4K]2 years ago
5 0

Answer:

x=32

Step-by-step explanation:

32+20=52

3×32=96

52+96+32=180

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The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs
IRINA_888 [86]

Answer:

35

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

  • v + 3.40c = 266.20
  • v + c = 103

Subtract these equations.

  • 2.40c = 163.20

Divide both sides by 2.40.

  • c = 68

Substitute this value for c into the second equation.

  • v + (68) = 103

Subtract 68 from both sides.

  • v = 35  

The number of vegetarian wraps sold amounted to 35 in total.

3 0
3 years ago
Read 2 more answers
Evaluate the surface integral ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing With Upper S f (x
kykrilka [37]

Parameterize S by

\vec s(u,v)=6\cos u\sin v\,\vec\imath+6\sin u\sin v\,\vec\jmath+6\cos v\,\vec k

with 0\le u\le2\pi and 0\le v\le\frac\pi2. Take a normal vector to S,

\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=36\cos u\sin^2v\,\vec\imath+36\sin u\sin^2v\,\vec\jmath+36\cos v\sin v\,\vec k

which has norm

\left\|\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}\right\|=36\sin v

Then the integral of f(x,y,z)=x^2+y^2 over S is

\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\iint_S\left((6\cos u\sin v)^2+(6\sin u\sin v)^2\right)\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv

=\displaystyle36^2\int_0^{\pi/2}\int_0^{2\pi}\sin^3v\,\mathrm du\,\mathrm dv=\boxed{1728\pi}

6 0
3 years ago
It takes Sam 3 hours to rake leaves, but if Laura helps, it takes 2 hours. How long would it take Laura to rake the leaves on he
Klio2033 [76]

Answer:

6 hours

Step-by-step explanation:

Given that:

Time taken by Sam = 3 hours

Sam's rate = 1/3

Time taken : Sam + Laura = 2 hours

Sam's rate + Laura's rate = 1/2

Let time taken by Laura = x

1/3 + 1/x = 1/2

1/x = 1/2 - 1/3

1/x = (3 - 2) / 6

1/x = 1 /6

x = 6

Hencw, it will take 6 hours for Laura alone to rake leaves

6 0
2 years ago
ALMOST THERE PLS 3 more
olasank [31]
165 pounds —> 60grams of proteins
220 pounds —>80 grams of proteins
Todd needs 80 grams of proteins each day
Thanks me if it is correct !!!
8 0
2 years ago
2. Determine the amount of an investment if $5,000 is
Nataliya [291]

Step-by-step explanation:

A=P(1+i)^n

=5,000(1+5%/4)^10×4

=$8,218.10

8 0
2 years ago
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