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2 years ago

A sign is 4 1/2 feet wide and 5 1/4 feet long . Find the area of the surface of the sign.

Mathematics

1 answer:

ZanzabumX [31]2 years ago

7 0

Answer: 94.5

Step-by-step explanation:

9/2 × 21/4

Get common denominator

9 × 2 =18

2 × 2 = 4

18/4 × 21/4

21 × 18 = 378

378/4 = 94.5

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2. -4/3

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2 years ago

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Plz help with equation of the circle will award fastest CORRECT answer with brainliest

aliina [53]

Answer:

$(x-1)^2+(y-2)^2=6.25$

Step-by-step explanation:

The equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:

$d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5$

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

$(x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25$

3 0

2 years ago

You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted

leva [86]

After 45 minutes you will have painted 4*45=180 square feet.

so the total number of painted area, y, is:

y=180+x*(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

if y is 1000 then

1000=180+x*7
820=x*7
x=117.14

so 117 minutes, or one hour and 57 minutes.

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2 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

Answer:

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

Solution:

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$