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LUCKY_DIMON [66]
4 years ago
7

A tree casts a shadow 29 meters long. At the same time a 3-meter high pole casts a shadow 4 meters long. What is the height of t

he tree to the nearest meter?
Mathematics
2 answers:
Musya8 [376]4 years ago
7 0
The tree would be 22ft You take x for the height of the tree and put it over 29 for the length of the shadow, then you take 3 for the height of the pole over 4 for the length of is shadow. Then cross multiply. So x over 29 = 3 over 4. Cross multiply to get x=22
zzz [600]4 years ago
5 0
So what I would do is 33 divided by 3 which is 11
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8_murik_8 [283]

Answer:

Ok..

Step-by-step explanation:

4 0
3 years ago
The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the
Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)

b) Eccentricity =5

5=\frac{c}{a} \:c=5a

An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:

If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0

c) Eccentricity close to 1

In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.

a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)

Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1

7 0
3 years ago
At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. The sales tax is $0.98 and they le
laila [671]

Given :

At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75.  

The sales tax is $0.98 and they leave a tip of $5.85.

To Find :

How much did Brianna and Naomi spend in all.

Solution :

Total expenses, T = Food + tax + tip

T = $( 6.50+9.75) + $0.98 + $5.85

T = $( 16.25 + 0.98 + 5.85 )

T = $23.08

Therefore, total expenses is $23.08 .

Hence, this is the required solution.

7 0
3 years ago
If the area around the vegetable garden is of uniform width (labeled with x) and the dimensions of the vegetable garden is 45 fe
Nady [450]
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Vegetable Garden
Width = 20
Length = 45
Area of Vegetable Garden = 20×45=900 Sq ft

Area of Entire Garden = Width × Length
Width = 20 + 2x
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Area of Flower Garden = Area of Entire Garden - Area of Vegetable Garden

(4x^2 + 135x + 900) - (20 × 45)
4x^2 + 135x + 900 - 900
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7 0
3 years ago
Suppose that g(x) = f(x) - 4. Which statement best compares the graph of
ArbitrLikvidat [17]

Answer:

The graph of g(x) is shifted 4 units down.

6 0
3 years ago
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