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1 year ago

3. The elevation of a hilltop is 250 feet above sea level. The

Mathematics

1 answer:

faust18 [17]1 year ago

5 0

Answer:

0.00893 feet elevation per 1 foot distance.

Step-by-step explanation:

The hill reaches an elevation of 250 ft (above sea level) over the course of 28,000 feet. The average rate of change would be (250 ft)/(28,000 ft), or 0.00893 feet elevation/1 foot distance.

((0.00893 (feet up/foot distance))*(28,000 feet distance) = 250 feet up (elevation).

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What is the length of AB?<br> O A. 9<br> O B. 18<br> O C. 48<br> D. 6

insens350 [35]

<h3>Answer: A. 9</h3>

=====================================================

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

6 0

2 years ago

Read 2 more answers

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest

34kurt

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

$\rm t = \dfrac{72}{r}$

where r is the interest rate and t be the time

The time for the Jill will be

$\rm t = \dfrac{72}{6}\\\\t = 12\\$

The time for the Cheryl will be

$\rm t = \dfrac{72}{4}\\\\t = 18\\$

More about the Algebra link is given below.

brainly.com/question/953809

4 0

1 year ago

Which relation is a linear function with the least slope?

mel-nik [20]

It would be the first graph because the slope would be zero making it the smallest

7 0

2 years ago

What is the slope of the line represented by the equation 2x+3y= –12 ? –32 –23 23 32

mr_godi [17]

Answer:

Option 2 - $m=-\frac{2}{3}$ is the slope of the equation.

Step-by-step explanation:

Given : Equation $2x+3y=-12$

To find : What is the slope of the line represented by the equation ?

Solution :

The slope form of line is $y=mx+c$

Equation $2x+3y=-12$

Take 2x to another side,

$3y=-12-2x$

Divide 3 both side,

$y=\frac{-12-2x}{3}$

$y=\frac{-2}{3}x-4$

On comparing with general equation,

$m=-\frac{2}{3}$ is the slope of the equation.

Therefore, option 2 is correct.

7 0

2 years ago

Read 2 more answers

Factor by grouping : xy + 6y - 2x - 12 (if you don't know the answer don't comment)

alexira [117]

<h3> Hey There today we will solve your problem</h3>

First we will factor out $y$ from $xy+6y$ which gives us $y(x+6)$

Next we will factor out $-2$ from $-2x-12$ which gives us $-2(x+6)$

This gives us the equation

$y(x+6)-2(x+6)$

then factor out the common term $x+6$ <em> and we get</em>

<em /> $\left(x+6\right)\left(y-2\right)$

6 0

2 years ago