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Zielflug [23.3K]
3 years ago
14

At a given time of the day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 3

ft stick in the ground casts a shadow is 1.5ft, find the height of a tree that casts a shadow that is 10.15ft
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

20.3 ft

Step-by-step explanation:

The object-shadow ratio for the stick= 3÷1.5=2:1

The object-shadow ratio is same for all objects.

Let height of the tree be x

2/1 = x/10.15

x=10.15 * 2=20.3

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Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
X+y+(y-2)=60,1/2(x)(y-2)=120 what is x and y​
Rudiy27
I think is this hopefully this helps

5 0
3 years ago
Read 2 more answers
Math To Do in Ready
Svetllana [295]

Answer:

C=100.5 inches

Step-by-step explanation:

Circumference=2πr where r=16 inches

C=2(3.14)(16)

C=100.5 inches

3 0
3 years ago
A local bakery sells cookies for 5.50 per pound and brownies for 7.50
uysha [10]

Answer:

I may be wrong but i think the answer is D

Step-by-step explanation:

We know that y=10, so if we were to multiply 10 by 7.50, it would be 75, not 63, so A and B wouldn't be correct. and we don't know the value of x, so I think D is the best answer.

6 0
3 years ago
Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and
Ahat [919]

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

5 0
3 years ago
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