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Dmitriy789 [7]
2 years ago
10

The length of a rectangle is 8 inches and the width is x inches. What is the perimeter, in inches?

Mathematics
1 answer:
GaryK [48]2 years ago
8 0
AAAAAAA 2x8+2x=16+2x
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Select the following statement that is true about shape a and shape b. Question 12 options: Similar—shape b has been stretched,
vagabundo [1.1K]

Answer:

Not similar -- shape B has been streched, these shapes are neither similar or congruent.

Step-by-step explanation:

4 0
3 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0
3 years ago
What is three equivalent ratios for 10/12
goldfiish [28.3K]

Answer:

5:6

20:24

30:36

Step-by-step explanation:

In order to find an equivalent ratio, you have to multiply or divide your numerator and denominator by the same number.

For example:

10/12 x 3/3

30/36 = 30:36

10/12 is equivalent to 30:36


3 0
3 years ago
Read 2 more answers
Wo numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is
Zarrin [17]
The simplified ratio is 2:3. Since the smaller number when it's not simplified is 18, let's divide 18 by 2 to get our factor.
18/2 = 9.
So we can multiply 9 by 3 to get the missing larger number.
9 x 3 = 27.
Your missing number is 27, hope this helps! 
5 0
3 years ago
How do you solve 5-4x<95
mario62 [17]

5 - 4x < 95 \\  - 4x  < 95 - 5 \\  - 4x = 90 \\ x =  -  \frac{90}{4}  \\  \boxed{ x =  -  \frac{45}{2} }

8 0
3 years ago
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