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Vinvika [58]
3 years ago
14

A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad

ow that is 3 feet long. Use this information to complete the statement about the lighthouse
Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

48 feet

Step-by-step explanation:

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

AB/FD = BC/DE --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

AB/4 = 36/3

AB = 12

AB = 48

Hence, the height of the lighthouse is 48 feet.

You might be interested in
F(x)= (x-2)(x-3)(x-5) simplify the right side. What is the equation?
Serga [27]

Answer:

x³ - 10x² + 31x - 30

Step-by-step explanation:

Given

(x - 2)(x - 3)(x - 5) ← expand the second pair of factors using FOIL

= (x - 2)(x² - 8x + 15) ← distribute

= x³ - 8x² + 15x - 2x² + 16x - 30 ← collect like terms

= x³ - 10x² + 31x - 30

5 0
3 years ago
Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0
3 years ago
Please help me on this one i need it
sergiy2304 [10]
Sophia is more correct in her solution.

7 0
3 years ago
NEED HELP ASAP!!! ALGEBRA 1 STUFF (20pts.)
3241004551 [841]
It's not actually 20 pts it's 10 pts if you send a question and you want 20 pts off it would be 10 for other ppl. like 

10pts off = 5
20pts off = 10
30pts off = 15

and so on so it's like counting by 5's each time you lose points

4 0
3 years ago
What is 5 cm to km? is it 0,00005? if im wrong please correct me because tomorrow i have exam
astra-53 [7]
It's 0.00005 so yeah you're correct
3 0
3 years ago
Read 2 more answers
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