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Sunny_sXe [5.5K]
3 years ago
5

Find the length of side x. Show steps please!

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

\large{x=7.4438\ cm\approx7.4\ cm}

Step-by-step explanation:

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have:

\alpha=28^o,\ opposite=x,\ adjacent=14\ cm

\tan28^o\approx0.5317

Substitute:

\dfrac{x}{14}=0.5317                <em>multiply both sides by 14</em>

x=7.4438\ cm

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Find the value of x. If your answer is not an integer, express it in simplest radical form.
DedPeter [7]

Answer:

x = 8√5

Step-by-step explanation:

for right triangle

c^2 = a^2 + b^2

with c is the hypotenuse; a & b are the other sides

(4 + 16)^2 = (4√5)^2 + x^2

400 = 80 + x^2

x^2 = 320

x^2 = 64(5)

√x^2 = √64(√5)

x = 8√5

7 0
2 years ago
A machine can make a box in 1 3/10 seconds. How many boxes can the machine make in 1 hour
Kazeer [188]

Since a machine make a box per 0.3 seconds, 1 hour would be 3600. 3600 divided by 0.3 is 12000. And that is the answer.

     

4 0
3 years ago
Read 2 more answers
Write 3/100 as a decimal​
Vlada [557]

Answer:

0.03

Step-by-step explanation:

There are two 0s so it is 0.03

7 0
3 years ago
Select the correct answer.
Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}:It is the area of the base of the prism

h: It is the height

A_ {b} = w * l

Where:

w: is the width

l: is the length

According to the data of the statement we have:

w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3

Substituting the data we have:

A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\

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So the height is8 \ in

Answer:

8 \ in

6 0
4 years ago
Can someone please help mee i need the exact answer(30 points will give brainliest!!!)
Bas_tet [7]

The domain of the given graph is [−3, ∞) and the range is (−∞, 4].

We need to find the domain and range of the given graph.

<h3>What are the domain and range of the function?</h3>

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.

We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].

Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].

To learn more about domain and range visit:

brainly.com/question/1632425.

#SPJ1

6 0
2 years ago
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