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Marta_Voda [28]
3 years ago
11

Hi hi hi please help helphelphelphelp​

Mathematics
2 answers:
bearhunter [10]3 years ago
8 0
<h2><u>MATHEM</u><u>ATICS</u><u> </u><u>/</u><u>/</u><u> </u><u>ANSW</u><u>ER</u></h2>

1.) x = <u>6</u><u>7</u> y = <u>3</u><u>2</u>

Here's the Solution:

<h3><u>for</u><u> </u><u>x</u><u>:</u></h3>

(x-15)° and 52° are vertical Angles so they are congurent.

  • (x-15)° = 52°
  • x - 15 = 52
  • x = 52 + 15
  • x = 67

<h3><u>for</u><u> </u><u>y</u><u>:</u></h3>

4y° and 128° are vertical Angles so they are congurent.

  • 4y° = 128°
  • 4y = 128
  • 4y/4 = 128/4
  • y = 32

HOPE THIS HELPS. GOODLUCK:)

Tanya [424]3 years ago
7 0
These are vertical angles so the opposite angle would equal each other.
Let’s start by solving for x:
52=x-15
Add 15 to both sides:
x=67 degrees
Now let’s solve for y:
4y=128
Divide 4 to both sides:
y=32 degrees
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) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
4 years ago
Diego is solving the equation x^2-12x = 21
uysha [10]

Answer:

The solutions to the quadratic equations will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

Step-by-step explanation:

Given the expression

x^2-12x\:=\:21

Let us solve the equation by completing the square

x^2-12x\:=\:21

Add (-6)² to both sides

x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2

simplify

x^2-12x+\left(-6\right)^2=57

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

x^2-12x+\left(-6\right)^2=\left(x-6\right)^2

so the expression becomes

\left(x-6\right)^2=57

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-6=\sqrt{57}

add 6 to both sides

x-6+6=\sqrt{57}+6

Simplify

x=\sqrt{57}+6

also solving

x-6=-\sqrt{57}

add 6 to both sides

x-6+6=-\sqrt{57}+6

Simplify

x=-\sqrt{57}+6

Therefore, the solutions to the quadratic equation will be:

x=\sqrt{57}+6,\:x=-\sqrt{57}+6

5 0
3 years ago
Help anyone I’ll appreciate it thank you
Tomtit [17]

Answer:

150

Step-by-step explanation:

the total angle of a flat line is 180

since one side is 30 180-30 is 150

4 0
3 years ago
Help me please I am a idiot who doesn’t get math
lukranit [14]

To calculate the cuboid's volume, use height×width×length which is 11×11×16

For the cylinder's volume, use πr²h. in this case, it is 3.14×4²×9

Add up the two answers you get and that's the solution

7 0
3 years ago
How much will $4.00 plus a 6% tax ?
blsea [12.9K]

The answer would be $4.24

6 0
3 years ago
Read 2 more answers
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