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Fantom [35]
3 years ago
11

Question 27 Find the length of the hypotenuse. Leave answer in simplest radical form.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Use SOHCAHTOA.  Since we are looking for the hypotenuse, you must use sine or cosine.  Since, we are given the adjacent side, use cosine.

cosx=a/h

cos45=8/h

√2/2=8/h

<em>*Cross multiply*</em>

h√2=16

<em>*Divide both sides by √2*</em>

h=16/√2

<em>*Multiply by √2/√2*</em>

h=(16√2)/2

<em>*Simplify the fraction*</em>

h=8√2

Hope this helps!!

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Pie

Answer:

$7.10

Step-by-step explanation:

Step 1: We make the assumption that 35.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=35.5$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=35.5(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

Step 7: Taking the inverse (or reciprocal) of both sides yields

Hope this helps <3

3 0
2 years ago
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Will mark brainliest
prohojiy [21]

Answer:

Although water is a <u>renewable</u> resource, the amount of fresh water available for use is <u>limited</u>. Most of Earth's fresh water is <u>frozen</u> and <u>unavailable</u> for human use.

Step-by-step explanation:

It has been a while since I have done this lesson but I remember bits and pieces. Hope this helps!!

5 0
3 years ago
A flower garden has 12 sunflowers for every 45 irises. What is the unit rate for the number of irises per sunflower? Explain how
m_a_m_a [10]

It is given in the question that,

A flower garden has 12 sunflowers for every 45 irises.

And we have to find the unit rate  for the number of irises per sunflower.

And for that we have to divide number of Irises by number of Sunflower. That is

= \frac{45 Irises }{12 Sunflower} = 3.75 Irises \ per \ sunflower .

And that's the required unit rate .

7 0
3 years ago
In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

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3 years ago
Which situation relates to the graph?
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D because there are 10 gallons of gas remaining as you can see on the y axis and 10 gallons is being used for each 10 miles because 10 x 10 is 100 and the graph is counting up by 10
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