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victus00 [196]
2 years ago
5

Can someone please help me? Round to nearest hundredth

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
7 0

Answer: x = 20

Step-by-step explanation:

We can use the pythagorean theorem:

x^2 + 15^2 = 25^2

x^2 + 225 = 625

We can subtract 225 from both sides:

x^2 = 400

We can take the square root of both sides:

x = 20.

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Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
s2008m [1.1K]

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

3 0
2 years ago
Mmunity/classes/5d62d69dab3b9d01c471275e/assignments/ea5fbdc266ba4fb6b42ef10035395865/content/33670082-1319-3919-b805-037d3a9e87
soldier1979 [14.2K]

Answer: 8%

Step-by-step explanation:

the answer is 7.5% but you said its a whole number so i guess its 8%

8 0
2 years ago
What are prime numbers​
Tasya [4]

Answer:

2, 3, 5, 7 and 11 are the first few prime numbers.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

6 0
2 years ago
Read 2 more answers
Hii. if Lisa was going 9.2 miles from the store to her friends house then 7.9 to her grandmas house before going 5 miles to her
STALIN [3.7K]

Answer:

  ¹9.2

<u>  +7.9 </u>

¹ 17.1

<u>  +5.0</u>

 22.1

21.1 miles

4 0
2 years ago
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