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denpristay [2]
2 years ago
7

Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters

away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.

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The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:
RideAnS [48]

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.

5 0
3 years ago
R:{(1,2),(1,−2),(−2,3)} Is this a function?
sdas [7]

Answer:

No, it is not a function because one of the x values have two different y values

7 0
3 years ago
What is the volume of the cone with radius 6 m and height 12 m? Express the answer in terms of π.
Lina20 [59]
V = pi x R^2 x height
V= pi x 6^2 x 12
V= 432 pi (m^3)
6 0
3 years ago
Read 2 more answers
2.16= with the repeating decimal being 6
Goshia [24]

Since the .16 is in the hundredths place, the fraction is 2 16/100, or 216/100

But if you need to simplify it it's 2 4/25, or 54/25

3 0
3 years ago
Inequality<br><br> Show your step by step solution to this.<br><br> 5-2x&gt;17
bonufazy [111]

<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

subtract 5 both sides of an equation.

5-2x-5>17-5

simplify.

-2x>12

multiply by -1 both sides of an equation.

(-2x)(-1)<12(-1)

simplify.

2x<-12

divide by 2 both sides of an equation.

2x/2<-12/2

-12/2=-6

12/2=6

6*2=12

12/6=2

x<-6

Hope this helps!

Thanks!

Have a great day!

3 0
3 years ago
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