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3 years ago

I need help on this one please help! (listing BRAINLIST and giving points) :D

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

You might be interested in

8x10 with the power of 0

Tpy6a [65]

Since you gave no parenthesis: Remember to follow PEMDAS. Note that anything with the power of 0, the answer will become 1

10^0 = 1

8 x 1 = 8

8 is your answer

hope this helps

7 0

3 years ago

Read 2 more answers

Meadow is growing her hair out. The graph below shows how much her hair has

Kisachek [45]

Answer:

Step-by-step explanation:

answer is B (.50) because it went from 1 to 1.5 to 2 to 2.5 , that means you are adding .5 everytime

5 0

3 years ago

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million peopl

babunello [35]

Answer: Option A

$P = 5.3 + 0.09125t$

Step-by-step explanation:

Note that for the initial year, 1990, the population was 5.3 billion.

The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.

In year 2 there will be 0.09125 * 2 billion people

In year 3 there will be 0.09125 * 3 billion people

In year 4 there will be 0.09125 * 4 billion people

In year t there will be 0.09125 * t billion of people

So the equation that models the number of people that there will be as a function of time is:

$P = P_0 + rt$

Where $P_0$ is the initial population

$P_0 = 5.3$ billion

r is the rate of increase

$r = 0.09125$ billion per year

finally the equation is:

$P = 5.3 + 0.09125t$

The correct answer is option A.

6 0

3 years ago

Read 2 more answers

Write PQ−⇀− with P(2,−4) and Q(3,6) in component form.

Doss [256]

Answer:

1,10

Step-by-step explanation:

The initial point of the vector is P(2,−4) and the terminal point of the vector is Q(3,6).

Subtract the coordinates of the initial point from the coordinates of the terminal point.

PQ−⇀−=<xQ−xP,yQ−yP>

Substitute the coordinates of the given points.

PQ−⇀−=<3−2,6−(−4)>

Simplify.

PQ−⇀−=<1,10>

Therefore, the component form of vector PQ−⇀− is <1,10>.

7 0

3 years ago

Find the flux of the vector field F = 〈e-z,4z,6xy) across the curved sides of the surface S = {(x,y,z): z= cos y, lys π, 0sxs4}

Len [333]

I'll go ahead and assume you meant to say that S is the surface given by

$S = \left\{(x,y,z) \mid z = \cos(y)\text{ with } 0\le y\le \pi\text{ and }0\le x\le4\right\}$

This immediately gives us a parameterization for the surface,

$\vec r(x, y) = \left\langle x, y, \cos(y)\right \rangle$

The upward-pointing normal vector to this surface is then

$\vec n = \dfrac{\partial\vec r}{\partial x} \times \dfrac{\partial\vec r}{\partial y} = \left\langle0,\sin(y),1\right\rangle$

Then the flux of $\vec F(x,y,z) = \left\langle e^{-z}, 4z, 6xy\right\rangle$ across S is

$\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \int_0^4\int_0^\pi \vec F(x,y,\cos(y))\cdot\vec n\,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi \left\langle e^{-\cos(y)},4\cos(y),6xy\right\rangle \cdot \left\langle0,\sin(y),1\right\rangle \,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi (4\sin(y)\cos(y)+6xy)\,\mathrm dy\,\mathrm dx \\\\ = 2 \int_0^4\int_0^\pi (\sin(2y) + 3xy)\,\mathrm dy\,\mathrm dx = \boxed{24\pi^2}$

8 0

3 years ago

I need help on this one please help! (listing BRAINLIST and giving points) ​:D​

I need help on this one please help! (listing BRAINLIST and giving points) :D