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Naddika [18.5K]
3 years ago
5

A lighthouse casts a shadow 32 meters long at the same time a nearby statue casts a shadow that is 9 meters long. If the statue

is 11.25 meters tall, find the height of the lighthouse.
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

40

Step-by-step explanation:

Ok, so basically let's start with a proportion.

x/32 = 11.25/9

Cross multiply:

x * 9 = 32 * 11.25

9x = 32 * 11.25

9x = 360

Solving for variable 'x'.

Divide each side by '9'.

x = 40

I don't know if this is the correct answer, but it was based on my math. I hope this helps!

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If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?A. -2B
podryga [215]

Answer:

B) -3/2

Step-by-step explanation:

If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.

Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.

Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.

3 0
3 years ago
A triangle has angles measuring 15° and 45°. What is the measurement of the triangle’s third angle?
nexus9112 [7]
First you need to know that the internal angles of a triangle always equals 180°. Therefore:

15+45= 90°

Then since the angles should equal 180, you do:

180-90=90

So the missing angle equals 90°
6 0
3 years ago
Read 2 more answers
Hiii , does anyone know with work? thank you
Ivahew [28]

Answer:

3√41

Step-by-step explanation:

The diagonal can be gotten using the pythagoras theorem

d² = l²+w²

d² = 12²+15²

d² = 144 + 225

d² = 369

d = √9*41

d = 3√41

Hence the diagonal is 3√41

8 0
3 years ago
I don't know this I don't understand it
DochEvi [55]
B
is the right answer. 
hope i helped

5 0
2 years ago
What happens to the median of a set of
ladessa [460]
The median would be the same number but multiplied by whatever number you multiplied all the numbers by
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