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MrRa [10]
3 years ago
8

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

Mathematics
2 answers:
ipn [44]3 years ago
8 0
20ft and 35ft are the dimensions
NARA [144]3 years ago
7 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • The length of rectangular garden is 15 feet longer than its width
  • The area of rectangular garden is 700ft²

<u>To </u><u>find</u><u>:</u><u>-</u>

  • Dimensions of rectangular garden

<u>Solution</u><u>:</u><u>-</u>

According to the question , let the length of rectangular garden be x and width be x + 15

<u>We know ,</u> the formula for area of rectangular garden is <u>L × B</u>

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

<u>By </u><u>factorising</u><u> </u><u>it </u><u>we </u><u>get</u><u> </u><u>,</u><u> </u>x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

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Thepotemich [5.8K]

Step-by-step explanation:

= 2x + 10x - 15

=12x - 15

I think this is the answer

7 0
3 years ago
If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)
AnnZ [28]

Answer:

5

Step-by-step explanation:

To evaluate (g ○ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = \sqrt{9} = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

8 0
3 years ago
A helicopter flying 3590 feet above ground spots the top of a 150-foot y'all cell phone tower at an angle of depression of 77° h
erik [133]

Answer:

794.19 feet.

Step-by-step explanation:

Please find the attachment.

Let x be the distance helicopter needs to fly to be directly over the tower.

We have been given that a helicopter flying 3590 feet above ground spots the top of a 150-foot y'all cell phone tower at an angle of depression of 77°.

We can see from our attachment that helicopter, tower and angle of depression forms a right triangle.

As height of tower is 150 feet, so the vertical distance between helicopter and tower will be 3590-150=3440 feet.

We cab see from our attachment that the side with length 3590-150 feet is opposite and side x is adjacent side to 77 degree angle.

Since we know that tangent relates the opposite side of a right triangle to its adjacent side, so we will use tangent to find the length of x.

\text{Tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula we will get,

\text{Tan}(77^o)=\frac{3590-150}{x}

\text{Tan}(77^o)=\frac{3440}{x}

x=\frac{3440}{\text{Tan}(77^o)}

x=\frac{3440}{4.331475874284}  

x=794.1865\approx 794.19

Therefore, the helicopter must fly approximately 794.19 feet to be directly over the tower.

6 0
3 years ago
Rita bought a pair of jeans for $89. The sales-tax rate is 11 percent. What is the total amount she paid for the jeans?
andre [41]

Total amount paid by Rita is $98.79

Step-by-step explanation:

  • Step 1: Given sales tax = 11% and cost of jeans = $89
  • Step 2: Calculate amount of sales tax = 11% of 89 = 11/100 × 89 = $9.79
  • Step 3: Calculate the total amount

Total Amount = 89 + 9.79 = $98.79

5 0
3 years ago
(find percent error) a political analyst predicts Mr. Smith will only get 122 votes for mayor. if Mr. Smith only gets 57 votes,
Dmitry [639]
The difference between the prediction & the reality is 122-57 =65 votes.

Then over 122, the error was 65 votes &

the error ratio is 65/122 = 0.5327 ==>53.27% Or 53.3% (rounded)


7 0
4 years ago
Read 2 more answers
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