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MA_775_DIABLO [31]
3 years ago
11

a set of angles has a ratio of 5:2 if the larger angle measures 105 degrees then what is the measure of the smaller angle?

Mathematics
2 answers:
Sphinxa [80]3 years ago
7 0
42 degrees. Divide 105 by 5 and get 21 and then multiply it by 2.
IRISSAK [1]3 years ago
5 0

Answer:

The measure of the smaller angle is 21°.

Step-by-step explanation:

We are given that a set of angles has a ratio of 5:2 .

Let the ratio be x

So, Larger angle is 5x

So, smaller angle be x

We are given that he larger angle measures 105 degrees

So, 5x=105

x=\frac{105}{5}

x=21

So, the measure of the smaller angle is 21°.

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Answer:

let 'a' be the first term, 'd' be the common difference between all the terms of the sequence

Step-by-step explanation:

therefore, a = 3,

and, d = -9 -3

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hence the 14th term would be,

=> a + 13d

=> 3 + 13( -12 )

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Find the value of the expression 3x for the following values of x when x = 10
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Hello! How do I find the surface area of this prism? Thanks!
Studentka2010 [4]
Answer: Choice C) 124 square cm

------------------------------------------------------------------

Explanation:

Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5

A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.

------------

Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where 
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.

In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35

So
LSA = p*d
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LSA = 113.5

Add this LSA to the base area found earlier
10.5+113.5 = 124

The total surface area is 124 square cm
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