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kow [346]
3 years ago
13

What is the height of a rectangle whose base is 40 inches and whose diagonal is 41 inches?

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer: 9 inches

Step-by-step explanation:

romanna [79]3 years ago
7 0

Answer:

You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.

Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.

so, 41 ^ 2 = 40 ^ 2 + h ^ 2

41 ^ 2 = 1681   40 ^ 2 = 1600     Therefore h ^2 must be equal to 81.   This means that h = 9.

The height is 9 inches.

Step-by-step explanation:

mark me as brainliest pls :)

~Alex

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valkas [14]

Answer:

2/35

Step-by-step explanation:

There are 15 marbles in total.

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The answer would be \frac{2}{35}.

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2 years ago
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Answer:

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4 0
2 years ago
Plz help<br> and explain
vovikov84 [41]
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.

The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
=x^2+20x+100-x^2
=20x+100   or 20(x+5)  if you wish.

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3 years ago
The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in h
Gennadij [26K]
The given function is
f(t) = 33 sin( \frac{ \pi }{2} t) - 20
with
t = time, hours
f = temperature, °C


Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f  = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53. 

The period, T,  is given by
\frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4

Answer:
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svetlana [45]
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