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Marina CMI [18]

3 years ago

6

3. A building stands on level ground. The measure of the angle of elevation of the top of the building, taken at a

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

12,400

Step-by-step explanation:

so what you are going to first is 400 times 31 which is 12,400

You might be interested in

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

or

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=2%28a%20%2B%205%29%20-%203%28a%20%2B%207%29%20" id="TexFormula1" title="2(a + 5) - 3(a + 7) "

Kazeer [188]

Answer:

The solutions are given below:

Step-by-step explanation:

x(x-3)+4(x²+2)

= x²-3x+4x²+8

= x²+4x²+8-3x

= 5x²+8-3x

2(a+5)-3(a+7)

= 2a+10-3a-21

= 2a-3a+10-21

= -a-11

xy(x²yz-xy²z+xyz²)

= x³y²z-x²y³z+x²y²z²

-4(a²-2a+8)

= -4a²+8a-32

<h3>Hope it helps !</h3>

8 0

3 years ago

Read 2 more answers

Write into expression take away 3 from x

Savatey [412]

The expression will be x-3.

5 0

2 years ago

Find the volume of a right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm. Round your answer t

vovangra [49]

Answer:

$2577.8\text{ cm}^3$

Step-by-step explanation:

GIVEN: A right circular cone that has a height of $11.1$ cm and a base with a diameter of $17.2$ cm.

TO FIND: Volume of cone.

SOLUTION:

radius of cone $=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6\text{ cm}$

height of cone $=11.1\text{ cm}$

Volume of cone $=\frac{1}{3}\pi r^2h$

putting values we get

Volume of cone $=\frac{1}{3}\times3.14\times8.6\times8.6\times11.1$

$=2577.8\text{ cm}^3$

Hence the volume of cone is $2577.8\text{ cm}^3$

3 0

3 years ago

Which southern in their boxes shows has a greater value

suter [353]

Answer: C) They have equal volumes

Step-by-step explanation:

Volume of Rectangular Prism = length x width x height

Green: 4 x 2 x 2 =16

Purple: 8 x 2 x 1 = 16

8 0

3 years ago

Read 2 more answers