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3 years ago

A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft. Find the smallest angle.

Mathematics

1 answer:

OleMash [197]3 years ago

8 0

Answer:

Lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.

Explanation:

A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft

We have smallest angle = Angle C

We have, Cos C = AC/BC

= 2.6/2.9

= 0.897

C = 26.29°

So lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.

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4. If DF = 9x - 39, find EF. Help I’m so confused!!!!

topjm [15]

Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

solving for x

3x +10 =9x -86

grouping like terms

3x - 9x =-86 -10

-6x=-96

dividing through by -6

 $\frac{ - 6x}{ - 6} = \frac{ - 96}{ - 6}$ 

 $x = \frac{96}{6}$ 

 $x = 16$ 

but EF=3x+10

substitute x=16 into it to get the EF

EF= 3(16)+10

EF=48+10

EF=58

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aleksandrvk [35]

Answer:

Step-by-step explanation:

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2 years ago

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Orlov [11]

Answer:

angle BAD = 180 -2x

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3 years ago

To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the win

Andre45 [30]

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

$a^{2} +b^{2} =c^{2}$

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

$a^{2} +4^{2} =5^{2}$

Simplify it

$a^{2} +16=25$

Subtract both sides 16

$a^{2} =9$

Take square root on both sides

a=±3

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3 years ago

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Viefleur [7K]

3^2 + 10^2 = 109

square root of 109 = 10.4403065089

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3 years ago

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