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Gnesinka [82]
2 years ago
13

A water tower that is 132 feet tall casts a 48-foot long shadow. If Shannon is 1 point

Mathematics
1 answer:
MariettaO [177]2 years ago
6 0

Answer:

2.03 ft

Step-by-step explanation:

132 divided by 48 is 2.75 and 5.6 divided by 2.75 is 2.03

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The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 2 . what is the measure of the angle
creativ13 [48]
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 . 
What is the measure of the angle? 

Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2

<span>I could say that
</span>distance of one of the leg=√2
and 
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2

therefore
if a=b
then 
the angle ∅=45°

the answer is the option
<span>b.45 degrees</span>
7 0
3 years ago
36^ - 1/2 Wich is equivalent? A -18<br> B -6<br> C- 1/18<br> D- 1/6
STatiana [176]

Answer:

3rd

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water
Aloiza [94]

Answer:

The answer is \frac{1}{256}

Step-by-step explanation:

If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5

Thus, P(identify tap water)=0.5

The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities

  • 8 of 9 people identified correctly or
  • 9 of 9 people identified correctly

Since P(identify tap water)=0.5 each probabilities are the same and equal to

0.5^9 =\frac{1}{512}

So we have 2*\frac{1}{512} = \frac{1}{256}

6 0
3 years ago
Simplify to create an equivalent expression. 1+4(6p−9)
myrzilka [38]
Answer: -35+24p

Step by step in picture below
3 0
3 years ago
The circles are identical. What is the circumference of each circle? Circle 1: radius of 2x; Circle 2: diameter of 2x+3. A. 3/2
Delicious77 [7]

Answer:

C=6π

Step-by-step explanation:

It is given that, two circles are identical. The radius of first circle is 2x and the diameter of other circle is 2x+3.

If identical, it means that the radius of both circles are same i.e.

2x=\dfrac{2x+3}{2}\ \ (\because\ r=\dfrac{D}{2}, d=\text{diameter})\\\\4x=2x+3\\\\2x=3\\\\x=1.5

Radius of both circles is 2(1.5)=3

The circumference of a circle is given by :

C=2\pi r\\\\C=2\pi (3)\\\\C=6\pi

So, the circumference of each circle is 6π.

7 0
2 years ago
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