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3 years ago

A 15- ft tree casts an 18- ft shadow at the same time a 24- ft tree casts a shadow. How long is the shadow of the 24- ft tree

Mathematics

1 answer:

anzhelika [568]3 years ago

4 0

Answer:

28.8 ft

Step-by-step explanation:

We can use proportion in calculating this.

Let X= height of the shadow of 24- ft tree.

The proportion can be set up as

(15- ft tree) /( 18- ft shadow )=(24- ft tree) / X

15/18 = 24/X

Making X subject of the formula

15X = 18 × 24

X= (18×24)/15

X=28.8 ft

Hence, the shadow of the 24- ft tree is 28.8 feet

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Timothy has a fenced-in garden in the shape of a

sattari [20]

Answer:

From the attached graphic we see that

rhombus side = Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

rhombus side = Sqr Root [(24/2)^2 + (18/2)^2]

rhombus side = Sqr Root [144 + 81]

rhombus side = Sqr Root (225)

rhombus side = 15 feet

Step-by-step explanation:

7 0

4 years ago

Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many package

neonofarm [45]

Answer:

Rose bought 14 packages of granola bars.

Step-by-step explanation:

Total bill = 1 bag of potatoes + x amount of packages of granola bars

Total bill = $74.25

1 bag of potatoes = $6.00

1 package of granola bar = 5.25

We set the equation to:

74.25 = 6.00 + 5.25x

Subtract 6.00 from both sides:

68.25 = 5.25x

Divide both sides by 5.25 to leave x by itself

68.25/5.25 = 5.25x/5.25

13 = x

This means Rose bought 13 packages of granola bars.

Let's recheck our work by inputting x = 13 into the equation:

74.25 = 6.00 + 5.25(13)

74.25 = 6.00 + 68.25

74.25 = 74.25

7 0

2 years ago

Marvin was taking a Bicycle ride the graph represents his route he started from his home represented by point a on the graph and

DedPeter [7]

Point A is (3, 2) and Point B is (8, 7)

7 0

3 years ago

A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she

kotykmax [81]

Hi there! :)

Answer:

In order to maintain the same ratio, she should sell 18 band posters.

Step-by-step explanation:

Initial ratio:

Ratio is: 105 movie posters for 90 band posters = 105 : 90

She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has 84 movie posters.

In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

84 movie posters → X

(90 × 84) ÷ 105 = X

7,560 ÷ 105 = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 - X = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = 72 + X

Subtract 72 from each side of the equation → 90 - 72 = 18

18 = X

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

4 years ago

What is 5,403.264 rounded to the nearest hundred

Likurg_2 [28]

The answer is 5400.000. Hope this helps.

6 0

3 years ago

Read 2 more answers