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Kay [80]
1 year ago
14

Write and solve an equation to find the unknown side length x (in inches).

Mathematics
1 answer:
Gekata [30.6K]1 year ago
8 0

The value of side length x is equal 6.05 in

<h3>Perimeter of a Square</h3>

The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.

Mathematically, this can be written as

P = 4 *L\\P = 4l\\

  • L = side length

In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.

Let's substitute the values

P = 4L\\24.2 = 4L\\but l = x\\24.2 = 4x\\x = 6.05in

The side length of the square is equal to 6.05in

Learn more on perimeter of square here;

brainly.com/question/24487155

#SPJ1

complete question

Write and solve an equation to find the unknown side length x (in inches).

Perimeter =24.2 in. assuming the figure is a square

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Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?
trasher [3.6K]

Answer:

Uriel's stick is LONGER by 7/24 feet

Step-by-step explanation:

Uriel's hiking stick is 3 2/3 feet long, and Nat's is 3 3/8 feet long. Whose walking stick is longer and by how much?

The above question is solved as

Uriel's stick - Nat's stick

= 3 2/3 feet - 3 3/8 feet

= 7/24 feet

Hence, Uriel's stick is LONGER by 7/24 feet

5 0
3 years ago
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
3 years ago
If nine people are in a room and every person shakes hands exactly once with each of the other people, how many handshakes will
emmasim [6.3K]
The total number of handshakes =  8 + 7 + 6 + 5  + 4 + 3 + 2 + 1  = 36


Answer: 36 handshakes
4 0
3 years ago
Marvin has 4 books to read for homework this week if he reads 2/3 of a book each night how many nights will it take him to read
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Answer:

6 night

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8 0
3 years ago
Read 2 more answers
The area of a rectangular
tankabanditka [31]

Answer:

2x+5

Step-by-step explanation:

Okay so lets first factor 2x^2+15x+25

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10+5=15

10*5=15

(x+10/2)(x+5/2)

=(x+5)(2x+5)

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