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2 years ago

Caitlin drew a scale drawing of the community park in her town. The actual

Mathematics

1 answer:

Tom [10]2 years ago

6 0

Answer: 1 inch equals 4 feet

Step-by-step explanation:

By an online search, I´ve found that:

The park is 48 ft long.

Caitlin´s drawing is 12 inches long.

To find how much each inch represents, we need to take the quotient between those lengths:

48ft/12in = 4ft/in.

We also can write this amount as:

4 feet per inch.

This means that each inch represents 4 feets.

Then the correct option is the first one: 1 inch equals 4 feet

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#17. The height, H metres, of a certain species of Fir

olya-2409 [2.1K]

Answer:

The approximated height of the tree is of 112 meters.

Step-by-step explanation:

The height of a tree with a base diameter of d meters is approximated by the following formula:

$h = 35d$

In this question:

Base diameter of 3.2m, so $d = 3.2$ , and the height is in meters.

$h = 35d = 35(3.2) = 112$

The approximated height of the tree is of 112 meters.

7 0

2 years ago

write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

Answer:

$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ add 9 to both sides

$7x+9=2y$ divide both sides by 2

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

$-4=14+b$ subtract 14 from both sides

$-18=b\to b=-18$

Finally we have the equation:

$y=\dfrac{7}{2}x-18$

8 0

3 years ago

Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 alt

Ede4ka [16]

She went on 8 rides and 5 games because 2.25*8=18 1.25*5=6.25
18.00+6.25=24.25 and 8-5=3.

8 0

2 years ago

What is the quotient in the expression 45 o?

Anastasy [175]

Answer:

the quotient of 45 or o is 45/o. A quotient is the result of a division . For example 8/4=2 so, 2 is the quotient.

4 0

2 years ago

Use the appropriate compound interest formula to compute the balance in the account after the stated period of time 24,000 is in

VLD [36.1K]

We know the compound interest formula is given by

$A=P(1+\frac{r}{n} )^{nt}$

Now, we have been given that 24,000 is invested for 2 years with an APR of 6% and daily compounding. Thus, we have

$P= 24,000\\
\\
t=2\\
\\
r=0.06\\
\\
n=365$

On substituting these values in the above formula for the compound interest, we get

$A=24000\left ( 1+\frac{0.06}{365} \right )^{365\cdot 2}\\
\\
\text{On solving this, we get}\\
\\
A=27059.7$

Therefore, the balance in the account after 2 years is 27059.7

7 0

3 years ago