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konstantin123 [22]
2 years ago
5

Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
7 0

Answer:

The width of lot B is 11 feet, so option A is correct.

Step-by-step explanation:

Given:

  • Two rectangular properties share a common side.  
  • Lot A is 33 feet wide and 42 feet long.  
  • The combined area of the lots = 1,848 square feet.  

To find:

How many feet wide is Lot B?  

Solution:

we know that, area of a rectangle is length x breadth

Then area of lot A = 33 x 42 = 1386 square feet.

And area of lot B = width x 42

Now, we are given that, total area = 1848  

area of lot A + area of lot B = 1848  

1386 + width x 42 = 1848  

width x 42 = 1848 – 1386  

width x 42 = 462  

width =\frac{42}{462}

width = 11

Hence, the width of lot B is 11 feet, so option A is correct.

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For which function does f decrease by 15% every time x increases by 1
LenaWriter [7]

Answer:

f(x) = 0.85^{x}

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

f(x) =  {(1 - 0.15)}^{x}

We simplify the parenthesis to get:

f(x) = 0.85^{x}

Therefore the decrease by 15% every time x increases by 1 is

f(x) =  {0.85}^{x}

The second choice is correct.

7 0
2 years ago
The equation r = 6t gives the number of albums released, r, by a record label over time in years, t. If you graph this relations
GalinKa [24]
R = 6t.....subbing in (8,48).....t = 8 and r = 48
48 = 6(8)
48 = 48 (correct)

r = 6t...subbing in (13,78)...t = 13 and r = 78
78 = 6(13)
78 = 78 (correct)

so u have 2 sets of points on this line and they are (8,48) and (13,78)
5 0
2 years ago
Read 2 more answers
Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Ma
patriot [66]

Answer:

x>$25000

Step-by-step explanation:

4 0
2 years ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = 2(3.14)(3.3)(3.3+10)=275.63\ \text{ sq. cm}

<em>[π=3.14]</em>

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \pi r^2h

=(3.14)(3.3)^2(10)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0
2 years ago
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