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jeka94
4 years ago
15

The smallest angle of a right triangle is 20-degree angle. What is the measure of the medium angle?

Mathematics
1 answer:
Veronika [31]4 years ago
7 0

Answer:

70 degrees.

Step-by-step explanation:

Hello!

It says that this triangle is a right triangle. That means one angle is 90°. Since there are 180° in a triangle, all we have to do is subtract 90 + 20 from 180.

90 + 20 = 110

180 - 110 = 70.

So the medium angle is 70°.

Hope this helps!

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6.
Rudik [331]

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0
2 years ago
What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?
Paladinen [302]

Answer:

\vec v = 2\cdot \vec a = \langle -4,6 \rangle

Step-by-step explanation:

Let \vec a = \langle -2, 3 \rangle, we need to determine \vec v = 2\cdot \vec a, which can be found by applying the following property:

\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle, \forall \,\alpha,x,y\in \mathbb{R} (1)

Then,

\vec v = 2\cdot \langle -2,3 \rangle

\vec v = \langle -4,6 \rangle

8 0
3 years ago
What are the factors of the mathematical expression 24p-27p²​
Vlad [161]

Answer:

1expn=3p

2expn=8-9p

3p(8-9p)

6 0
3 years ago
Read 2 more answers
To which subsets does 15/5 belong?
Alexus [3.1K]

Answer:

Whole, natural, integer, rational, real

Step-by-step explanation:

15/5 can be rewritten as 3.

7 0
3 years ago
What is the slope of the line?<br><br> A. 2<br> B. -2<br> C. 1/2<br> D. -1/2
iogann1982 [59]

slope m = - 2 → B

calculate m using the ' gradient formula '

m = (y₂ - y₁)/(x₂ - x₁)

choosing 2 'clear ' coordinates from the graph of the line

(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5\frac{(- 5 - 7)}{(6 - 0)}) = \frac{- 12}{6} = - 2


m =

3 0
3 years ago
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