Ask question

Ask question

All categories

2 years ago

6

A 21-foot flagpole casts a shadow. The distance along the ground from the base of the pole to the top of the shadow is 11 feet.

What is the distance from the top of the pole to the tip of the shadow?

1 answer:

7nadin3 [17]2 years ago

6 0

Answer:

Step-by-step explanation:

.

You might be interested in

EASY POINTS HERE FOLKS COME HELP ME OUT

expeople1 [14]

C...........................................

8 0

3 years ago

Read 2 more answers

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

2 years ago

Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does e

Likurg_2 [28]

Answer:

Step-by-step explanation:

6 0

3 years ago

Kyle's father is 67 ft. tall. Kyle is 5 feet tall. How many times taller is Kyle's father than him?

MrRissso [65]

Answer:

13.5

Step-by-step explanation:

to find the answer you divide 67 and 5 and get 13.5. to check your answer, you can do 13.5 x 5 and get 67 because 67 is 13.5 times 5. why is kyles dad so tall though..

5 0

2 years ago

Please help! Quadratic equations!

Alexeev081 [22]

Answer:

$x^2 -2x - 35 =0$

Step-by-step explanation:

Assume that the quadratic term of this equation has no coefficient. One can set the equation up in factored form using the given roots. Then expand the equation and simplify the equation to convert to standard form.

The equation in factored form is the following,

$(x+5)(x-7)=0$

Expand, multiply every term in one of the parenthesis by every term in the other,

$(x+5)(x-7)=0\\\\(x)(x)+(5)(x)-(7)(x)+(-7)(5)=0$

Simplify,

$x^2 +5x -7x -35 =0\\\\x^2 -2x -35=0$

7 0

3 years ago