Ask question

Ask question

All categories

Ostrovityanka [42]

3 years ago

8

Bill needs to find the area of the ground covered by a conical tent. The tent is 12 feet tall and makes a 70° angle with the gro

und. Which expression can be used to find the area?

1 answer:

Pie3 years ago

3 0

Answer:

Step-by-step explanation:

To get the area of the cone we need to find the radius first.

tan 70=r/12

r=12tan 70

area of a circle is given by:

A=πr²

thus the area of the ground covered by the tent will be:

A=π(12tan70)²

The answer is

A] A=π(12tan70°)²

You might be interested in

Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? G

son4ous [18]

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

4 0

3 years ago

Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

Levart [38]

Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em> $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in $-1\cdot-1\cdot-1\cdot-1=1$ .

Applying this logic to our original term, $3(-1)^4$ :

$3(-1\cdot-1\cdot-1\cdot-1)$
$3(1)$
$3$

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: $-5x^2$

$-5(-1)^2$

Applying the same logic from our first term:

$-5(-1 \cdot -1)$
$-5(1)$
$-5$

Third term: $2x$

$2(-1) = -2$

-3 is just -3, no influence of x.

Combining our terms, we have $3-5-2-3$ .

This comes out to be -7, hence, the value of $f(-1)$ for our function $f(x)=3x^4-5x^2+2x-3$ is <u>-7</u>.

Hope this helped!

4 0

3 years ago

Read 2 more answers

Target sells 24 bottles of water for $3 and thirty six bottles of water for $4 which is a better buy

GenaCL600 [577]

Answer:24/3=8 and 36/4=9

Step-by-step explanation:36 bottles for 4$ better deal *merry christmas* PLz brainliest

3 0

3 years ago

Read 2 more answers

Geometry Question: BK bisects angle ABC and M angle ABK=28.3 degrees. Find M angle KBC and M angle ABC.

Nookie1986 [14]

Answer:

$ABK = 28.3$

Step-by-step explanation:

Given

$ABK = 28.3$

Required

Determine KBC

Since BK is a bisector of ABC at B,

this implies that:

$ABK = KBC$

Substitute 28.3 for ABK

$28.3 = ABK$

Reorder

$ABK = 28.3$

7 0

3 years ago

Read 2 more answers

7/10-1/2=<br> what is seven tenths minus one half

Setler [38]

You could make them have the same denominator, making it 7/10-5/10=2/10.
The answer is 2/10, or simplified, 1/5.

5 0

3 years ago