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Olegator [25]
1 year ago
10

Maureen measured a house and its lot and made a scale drawing. The scale she used was

Mathematics
1 answer:
PIT_PIT [208]1 year ago
3 0

The most appropriate choice for unitary method will be given by-

Length of driveway  in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to \frac{1}{8} inch on scale

24 feet of room is equal to \frac{1}{8} \times 24 inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway  in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

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The whole wall area including the window is 150 ft squared (15 ft x 10 ft). The window is 50 square feet (5 x 10). Take the whole area and subtract the window area and you have 100 sq ft thats paintable. One can is 50 sq ft so 100/50 is 2 cans of paint needed. Your answer is H.
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3 years ago
How many triangles can be constructed with angles measuring 35º, 62º, and 83º?
ladessa [460]
B)OPTION B only 1 is your answer.
6 0
3 years ago
A savings account earns 7.2 (APR) compounded monthly, so it earns 0.6% each month. Cooper has $1500 in the account now. if he de
iragen [17]

<u>Answer-</u>

<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>

<u>Solution-</u>

Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.

So the total principal becomes 1500+500 = $2000

Given here,

APR = annual percentage rate = 7.2%

But as we have to calculate the monthly interest, so monthly interest rate would be =\dfrac{7.2}{12}=0.6\%

Time period = 1 month

So, the interest after 1 month will be,

\text{interest}=\dfrac{\text{Principal}\times \text{Rate of interest}\times \text{Time period}}{100}

=\dfrac{2000\times 0.6\times 1}{100}

=\$12.00

Therefore, Cooper will receive $12.00 at the end of the month.

7 0
3 years ago
Read 2 more answers
Anna made 20/28 free throws in basketball this season.To the nearest thousands,what is her free-throw average?
Afina-wow [57]

Answer:

0.714 free throws.

Step-by-step explanation:

Anna made 20 out of 28 free throws.

Free-throw average = \frac{20}{28}  = 0.7142857143 free throws.

This equals 0.714 free throws (answer rounded up to the nearest thousandths)

5 0
3 years ago
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
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