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Yuki888 [10]
3 years ago
14

The area of a rectangular patio is 27 5 8 square meters. The width of the patio is 3 1 4 meters. What is the length? Enter your

answer as a mixed number in simplest form.
Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer:

Step-by-step explanation:

L and W are length and width, respectively.

W = 3¼ = 13/4

Area = LW = 27⅝ = 221/8 m²

L = area/W = (221/8)/(13/4) = (221/8)(4/13) + 221/26 = 17/2 = 8½ m

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A.The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the
Ainat [17]

Answer:

8.68 seconds

Step-by-step explanation:

Given:

Height of the deck above the street, s = 370 m

Since the condition is of free falling

thus,

initial speed, u = 0

Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²

Now,

from Newton's equation of motion, we have

s=ut+\frac{1}{2}at^2

here,

s is the distance

a is the acceleration

t is the time

on substituting the values, we get

370=0\times t+\frac{1}{2}\times9.81\times t^2

or

t² = 75.433

or

t = 8.68 seconds

8 0
3 years ago
Please answer the question in the picture.
ASHA 777 [7]

Answer:

C.) The relationship is proportional

Step-by-step explanation:

If D is true, then it is not proportional, constants of proportionality must not include multuplting or subtracting from anything.

Also quick way to tell— the line doesn’t start from 0,0

4 0
3 years ago
A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,
notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0
3 years ago
Simplify this pleasee​
DochEvi [55]

Answer:

<em><u>48</u></em>

Step-by-step explanation:

<em><u>3</u></em><em><u>(</u></em><em><u>4</u></em><em><u>)</u></em><em><u>^</u></em><em><u>2</u></em>

<em><u>48</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em>

5 0
3 years ago
Which expressions are equivalent to (2^2-9) (x + 3)?
mestny [16]

Answer:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

Step-by-step explanation:

Given

(x^2-9)(x+3)

Required

Select 3 equivalent expressions

(x^2-9)(x+3)

Express 9 as 3^2

(x^2-3^2)(x+3) --- This is one equivalent expression

Take x^2 - 3^2 as difference of two squares

(x-3)(x+3)(x+3) -- This is another equivalent expression:

Solving further:

(x-3)(x+3)(x+3) becomes

(x-3)(x+3)^2   -- This is another equivalent expression:

Hence, the equivalent expressions are:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

7 0
3 years ago
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