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sdas [7]
4 years ago
7

If the difference between the measures of the two smaller angles of a right triangle is 20 degrees what is the measure, in degre

es, of the smallest angle?
Mathematics
2 answers:
nordsb [41]4 years ago
8 0

Answer:

Measure of the smallest angle = 35 degrees.

Step-by-step explanation:

As it is a right triangle the values of the 2 smaller angles will add up to 90 degrees.

So  the 2 angles can be written as x and 90-x and  we have:

(90 - x) - x = 20

-2x = 20 - 90 = -70

x = 35.

So the 2 angles are 35 and 55 degrees.

xz_007 [3.2K]4 years ago
3 0

Answer:The  measure of the smallest angle is 35 degrees.

Step-by-step explanation:

a  + b = 90

a-b = 20

2a = 110

a = 55

90 -55= 35

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Step-by-step explanation:

4+9+8+6+5+44+88+90+78= 332

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find the surface area of a right regular hexagonal pyramid with sides 3 cm and slant heights 6cm. show all of your work.​
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Answer:

The surface area of right regular hexagonal pyramid = 82.222 cm³

Step-by-step explanation:

Given as , for regular hexagonal pyramid :

The of base side = 3 cm

The slant heights = 6 cm

Now ,

The surface area of right regular hexagonal pyramid = \frac{3\sqrt{3}}{2}\times a^{2} + 3 a \sqrt{h^{2}+ 3\times \frac{a^{2}}{4}}

Where a is the base side

And h is the slant height

So, The surface area of right regular hexagonal pyramid = \frac{3\sqrt{3}}{2}\times 3^{2} + 3 \times 3 \sqrt{6^{2}+ 3\times \frac{3^{2}}{4}}

Or, The surface area of right regular hexagonal pyramid = \frac{3\sqrt{3}}{2}\times 9 + 9 \sqrt{36+ 3\times \frac{9}{4}}

Or,  The surface area of right regular hexagonal pyramid = 23.38 + 9 × \frac{171}{4}

∴  The surface area of right regular hexagonal pyramid = 23.38 + 9 × 6.538

I.e The surface area of right regular hexagonal pyramid = 23.38 + 58.842

So,  The surface area of right regular hexagonal pyramid = 82.222 cm³ Answer

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