Answer:
16.2
Step-by-step explanation:
Tan(angle)=opposite/ adjacent
Angle= 45
Opposite side= x
Adjacent side =10
Substitute into equation: tan(45) = x/ 10
Rearrange (multiply each side by 10): 10 x tan(45) = x
Then work it out on calculator
Answer:
Translation 9 units to the left, and 2 units up
Step-by-step explanation:
Answer:
F(x) = 3
Step-by-step explanation:
Just substitute x with 1 and you add it with 2 and your answer is three
Answer:
<h3>
By using the distributive property the matched equivalent expressions are</h3><h3>
1) -7(-4+x)
=28-7x
</h3><h3>
2) -7(4-x)
=-28+7x
</h3><h3>
3) 7(4+x)
=28+7x
</h3><h3>
4) 7(-4-x)
=-28-7x
</h3>
Step-by-step explanation:
Given that by using the distributive property to match the given equivalent expressions.
1) Given expression is -7(-4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(-4+x)
=(-7)(-4)+(-7)(x)
=28-7x
<h3>∴ -7(-4+x)
=28-7x
</h3>
2) Given expression is -7(4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
-7(4-x)
=(-7)(4)+(-7)(-x)
=-28+7x
<h3>∴ -7(4-x)
=-28+7x
</h3>
3) Given expression is 7(4+x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(4+x)
=(7)(4)+(7)(x)
=28+7x
<h3>∴ 7(4+x)
=28+7x
</h3>
4) Given expression is 7(-4-x)
<h3>By Distributive property a(b+c)=ab+ac</h3>
7(-4-x)
=(7)(-4)+(7)(-x)
=-28-7x
<h3>∴ 7(-4-x)
=-28-7x
</h3>
Hence the matched equivalent expressions are
1) -7(-4+x)
=28-7x
2) -7(4-x)
=-28+7x
3) 7(4+x)
=28+7x
4) 7(-4-x)
=-28-7x
The <em>total</em> area of all six faces of the tunnel is 
square centimeters.
<h2>Procedure - Surface area of a tunnel for a toy train</h2>
The surface area of the solid (
) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).
<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>
We calculate the surface area as following:
![A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)](https://tex.z-dn.net/?f=A%20%3D%202%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Ccdot%20%5B%2810%5C%2Ccm%29%5E%7B2%7D-%288%5C%2Ccm%29%5E%7B2%7D%5D%20%2B%20%5Cpi%5Ccdot%20%288%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%20%5Cpi%5Ccdot%20%2810%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29%20%2B%202%5Ccdot%20%282%5C%2Ccm%29%5Ccdot%20%2830%5C%2Ccm%29)
The <em>total</em> area of all six faces of the tunnel is square centimeters. 
To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293
