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schepotkina [342]
4 years ago
12

The outside temperature at noon was 9 F. The temperature dropped 15 degrees during the afternoon. What was the new temperature?

Mathematics
2 answers:
Gennadij [26K]4 years ago
8 0
The answer is 24 F because if you add 15 plus 9 equals 24 so 24 F degrees
SSSSS [86.1K]4 years ago
8 0
I say the answer is 24.
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You spin a spinner with 5 equal spaces and roll a six-sided die. How many possible
Vlad1618 [11]

Answer

a six sided die has 36 possible outcomes

a spinner has 25 outcomes

together they have 900 possible outcomes

Step-by-step explanation:

8 0
3 years ago
A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen
Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}

The restriction is that the perimeter have to be 12 ft at most:

P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12

We can express b in function of a as:

2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a

Then, the area become:

A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2

To maximize the area, we derive and equal to zero:

\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36

Then, b is:

b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68

3 0
4 years ago
Can someone help me
trapecia [35]
This uses the properties of a 30-60-90 triangle.  the 90 m is opposite the 60 degree angle to convert to the side opposite the 30 divide 90 by \sqrt{3}
90 / \sqrt{3} = 51.96 m or B
7 0
3 years ago
Identify the like terms and terms <br> 1.4c + 11.4 - 2c - 7.3c =
Pavel [41]
Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms


3 0
4 years ago
What is the solution set of (x^2+x-6/x-7)&lt;_0
Vlada [557]
X^2 + x - 6 
-------------   <=  0
  x - 7 

(x + 3)(x - 2)
---------------- <= 0
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2 critical values are  x = -3 and x = 2

if x <= -3  the  the function <= 0  so that's one part of the solution
also x >= 2
x must be < 7  if its = 7 then the function is indeterminate.  and values between 2 and 7 will give negative valu to function

The answer is  choice A.


5 0
3 years ago
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