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tester [92]
3 years ago
11

PLEASE HELP !!! The height of a rectangle is twice the width and the area is 32. Find the dimensions.

Mathematics
2 answers:
Helen [10]3 years ago
8 0

Answer:

The rectangle has a width of 4 and a height of 8

Step-by-step explanation:

Let the height of the rectangle be H and the width be W.

We know the height of the rectangle is twice the width, so:

H = 2W

The area of a rectangle, A, is given by A = W * H, so in this case:

32 = W * 2W

32 = 2W²

W² = 16

W = 4

Knowing that the width is 4, the height must be 8. This gives us an area of 32.

AVprozaik [17]3 years ago
8 0
The width is 4 and the height is 8 bc 8 x 4 = 32 and 32 is the area
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What is the length of side x?
nikklg [1K]

Answer:

11 because as you see 3 and 6 if you divide it the scale factor is 1/2 so you just do 5.5 times 2 and get 11

Step-by-step explanation:

6 0
3 years ago
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During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
Solve the system of equations using the addition method 2a+3b=-1 ; 3a+5b=-2
Alexeev081 [22]

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

3 0
4 years ago
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A car is traveling at 55 mi/hour. What is the cars speed in feet per second
Shalnov [3]

Answer:

<em>80.7 ft/sec</em>

Step-by-step explanation:

You need two conversion factors:

1 mile = 5280 ft, so (52780 ft)/(1 mile) = 1

1 hour = 3600 seconds, so (1 hour)/(3600 seconds) = 1

55 mi/hour * (5280 ft)/(1 mile) * (1 hour)/(3600 seconds) = 80.6666... ft/sec

Answer: 80.7 ft/sec

6 0
3 years ago
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line v has an equation of y=10/9x +1. Line w includes the point (-3,3) and is perpendicular to line v. What is the equation of l
NARA [144]

Answer:

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

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3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

3 0
3 years ago
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