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katrin2010 [14]
3 years ago
5

A landscape architect submitted a design for a triangle-shaped flower garden with length of 21 feet, 37 feet, and 15 feet to a c

ustomer. Explain why the architect was not hired to create the flower garden
Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer:

Therefore this triangle is not possible. This is the reason the architect was not hired.

Step-by-step explanation:

i) In a triangle we know that the sum of any two sides should be greater than or equal to the remaining side.

ii) The sides of the triangle are 21 feet, 37 feet, 15 feet.

iii) If we add the two smaller sides we get 21 feet + 15 feet =  36 feet which is less than the remaining side which is 37 feet.

Therefore this triangle is not possible. This is the reason the architect was not hired.

You might be interested in
What is the volume of a hexagonal pyramid with a side length of 4 inches and a height of 12 inches (answer in the radical form p
a_sh-v [17]

Answer:

Step-by-step explanation:

formula for the volume of a hexagonal pyramid is (\sqrt{3}/2)*a^{2}*h

where is is the side length, for this pyramid it's 4

and h is the height, for this pyramid it's 12

(\sqrt{3}/2)*4^{2}*12 = 96*\sqrt{3}

4 0
3 years ago
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation
Bingel [31]

Answer:

27

Step-by-step explanation:

2h+11=65

2h= 65-11

2h=54

then divide both side by two to find h

5 0
3 years ago
Which is which
kenny6666 [7]

Answer and Explanation:

To find : Which number is in standard notation or scientific notation?

Solution :

Scientific notation is a special ways of writing the standard form of number.

Scientific notation make a big number into smaller way bye writing it into 10 to the power or using E.

Standard notation is like 12,47950585,89000.

Scientific notation is like 1.43\times 10^3 , 1.43E10

So, Now we examine the numbers,

A) 5.9E10 is the Scientific notation.

B) 0.0000734 is the Standard notation.

C) 2.66\times 10^{-3} is the Scientific notation.

D) 641,000,000,000 is the Standard notation.

5 0
3 years ago
Read 2 more answers
Let x=number of cds and y=number of dvds
Elis [28]
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0
3 years ago
You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building
nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

h=\sqrt{x^2+y^2}

The rate of change for the distance between you and the elevator is given by:

\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}

-16=\frac{dh}{dy}*\frac{dy}{dt}

\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\

Applying the chain rule:

u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}

Therefore, at x=300 and y = 500, dy/dt is:

-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s

The elevator is descending at 18.66 ft/s.

7 0
3 years ago
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