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MariettaO [177]
3 years ago
9

14. A rectangular dog pen is 6 feet longer than the width. The perimeter of the pen is 48 ft. Find the length

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

The width is 9 feet and the length is 15 :)

Step-by-step explanation:

rawr

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1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x
Olin [163]

1.

2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4

The base can't be negative, therefore x=3.

2.

3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7

3.

2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7

5 0
2 years ago
the quality rating of 8 movies showing at a movie theater near you is 5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, and 5.2. What do the ni
-Dominant- [34]

Answer:

5.6

Step-by-step explanation:

Given :

Quality rating for 8 movies :

5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2

Let rating for the 9th movie = x

Average quality rating olfor the 9 movies = 6.4

To find x :

Sum of all ratings / number of ratings = 6.4

(5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4

(52 + x) / 9 = 6.4

52 + x = 57.6

x = 57.6 - 52

x = 5.6

4 0
3 years ago
5t+5/4-1=4t-3/5<br>maths <br>class 8​
Aleks [24]

Answer:

3.4

Step-by-step explanation:

5t+5/4-1=4t-3/5. cross multiply over the bracket

(5t+5)5=(4t-3)(4-1)

25t + 25 = -16t -4- 12 - 3

Combine the like terms

25t - 16t +4t = -4-12-3-25

13t = - 44

Divide both sides by 13

3.38

3.4 approximately

6 0
3 years ago
Select all that are undefined. sec (45°) csc (0°) sec (90°)
Murrr4er [49]

Answer:

csc (0°) and sec (90°) are not defined.

Step-by-step explanation:

Given the options wehave to select the option which is undefinesd

First option: sec 45°

sec45^{\circ}=\frac{1}{cos(45^{\circ})}=\frac{1}{\frac{1}{\sqrt2}}=\sqrt2

which is defined

Second option: csc(0°)

csc(0^{\circ})=\frac{1}{sin0}=\frac{1}{0}=\infty

which is not defined

Third option: sec(90°)

sec(90^{\circ})=\frac{1}{cos(90)}=\frac{1}{0}=\infty

which is not defined.

Hence, option 2 and 3 are not defined.

3 0
3 years ago
Read 2 more answers
What is 3.5 divided by .25 thanks
Alona [7]
You have to make .25 into a whole number so you move the decimal two spaces to the right and since you moved .25 two spaces to the right you have to do the same to 3.5 it becomes 350 . then you divide 350/25 =14
4 0
3 years ago
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