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nasty-shy
1 month ago
15

A square countertop has a side length of 28 inches. Find the perimeter and area of the countertopusong the correct number of sig

nificant digits.
Mathematics
2 answers:
tester [12.3K]1 month ago
5 0

Answer:

\text{Perimeter of counter-top}=112\text{ inches}

\text{Area of counter-top}=784\text{ inches}^2

Step-by-step explanation:

Given a square countertop with each side measuring 28 inches, we need to calculate its area and perimeter.

The formula for the perimeter of a square is 4 times the length of one side.

\text{Perimeter of counter-top}=4\times 28\text{ inches}

\text{Perimeter of counter-top}=112\text{ inches}

Thus, the perimeter of the countertop amounts to 112 inches.

For finding the area, we square the length of a side.

\text{Area of counter-top}=(28\text{ inches})^2

\text{Area of counter-top}=784\text{ inches}^2

As a result, the area of the countertop is 784 square inches.

Leona [12.6K]1 month ago
5 0
The perimeter is 14, and the area amounts to 4.
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lawyer [12517]

Answer:

An eight-digit grid coordinate allows for precision within 10 meters.

Step-by-step explanation:

Grid coordinates are designed to direct accurately to a specific location by using a map that includes equally spaced vertical and horizontal lines, each assigned numbers to outline a place. The intersection of these vertical and horizontal lines has unique identifiers and creates small sections called grid squares.

The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.

3 0
1 month ago
Suppose log subscript a x equals 3, log subscript a y equals 7, and log subscript a z equals short dash 2. Find the value of the
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Answer:

24

Step-by-step explanation:

Based on the logarithmic expressions given log_ax = 3, log_ay = 7, log_az = -2, we need to identify the value of log_a(\frac{x^3y}{z^4} )

from\ log_ax = 3, x = a^3\\\\from\ log_ay = 7,y = a^7\\\\from\ log_az = -2, z = a^{-2}By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function log_a(\frac{x^3y}{z^4} ), we will derive;

= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24

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6 0
17 days ago
Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s
Leona [12618]

Response:

The loop's length is roughly 49.58 km.

Step-by-step details:

Given:

Duration to cycle the loop = 2 hours and 30 minutes

It is known that;

60 minutes = 1 hour

30 minutes = 0.5 hour

therefore, 2 hours and 30 minutes = 2+0.5 = 2.5\ hrs

∴ Time to cycle the loop = 2.5 hours

Let 's' denote the cycling speed.

Denote the total loop distance as 'd'

From our understanding;

Distance equals speed times time.

Representing this as an equation we have;

d =2.5s \ \ \ \ equation \ 1

Given:

If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.

As a result, we can say;

Speed =s+1

The time then will be shortened by 7 minutes.

7 minutes = 0.12 hours

Consequently, time = 2.5 - 0.12 = 2.38

Again, Distance is calculated as speed times time.

This can be expressed with equations;

d =2.38(s+1) \ \ \ \ equation \ 2

The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.

2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr

So, Speed = 19.83 km/hr

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Therefore, the loop length is approximately 49.58 km.

7 0
1 month ago
60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [12445]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

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