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3 years ago

Which figure represents an undefined term?

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

5 0

What is the rest of the bottom pic?

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Need help with trigonometry

vovangra [49]

Answer:

$\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}$

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem $a^2+b^2=c^2$ to find the length of side a:

Given:

b = 2√22
c = 13

$\implies a^2+(2 \sqrt{22})^2=13^2$

$\implies a^2+88=169$

$\implies a^2=81$

$\implies a=\sqrt{81}$

$\implies a=9$

<u>Tan Trig Ratio</u>

$\sf \tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle

Given:

$\theta$ = A
O = side opposite angle A = a = 9
A = side adjacent angle A = b = 2√22

$\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}$

6 0

2 years ago

Read 2 more answers

Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.

Tamiku [17]

Green's theorem says the circulation of $\vec F$ along the rectangle's border $C$ is equal to the integral of the curl of $\vec F$ over the rectangle's interior $D$ .

Given $\vec F(x,y)=2xy\,\vec\imath$ , its curl is the determinant

$\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x$

So we have

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D-2x\,\mathrm dx\,\mathrm dy=-2\int_0^3\int_0^8x\,\mathrm dx\,\mathrm dy=\boxed{-192}$

6 0

3 years ago

Kosma is cooking a lamb stew. When cooking this recipe she uses 12 of a cup of water per person. Today she is cooking for 9 peop

melomori [17]

Kosma used 242 cups of water in total

Kosma is cooking a lamb stew

The recipe uses 12 cups of water per person

She is cooking for 9 people, the number of cups used is calculated by multiplying 12 by 9

= 12 × 9

= 108

She added extra 134 cups of water as she noticed that she will be needing a little extra stew

Total number of cups of water used

= 134 + 108

= 242

Hence Kosma used 242 cups of water for the stew

#SPJ1

5 0

2 years ago

How many solutions does the following equation have?<br> -5(2+1) = –22 + 10

Igoryamba

Answer:

0 real # solution

Step-by-step explanation:

b^2-4ac<1 is equal to 0 real number solution and

-5(2+1)=-22+10

-5(2+1)=-12

which is less than 1

7 0

3 years ago

Distribute -(-4v+6.3w-9.8)

Firdavs [7]

Answer:

4v-6.3w+9.8

Step-by-step explanation:

If you distribute the negative sign (same as distributing -1), then you get -(-4v) + (-6.3w) - (-(9.8))

Basically it's switching the signs

Hope that helped :)

3 0

3 years ago