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Irina18 [472]
3 years ago
15

One angle of a right triangle measures 80 degrees what is the measure of the other acute angle

Mathematics
2 answers:
solong [7]3 years ago
7 0

Answer : The measure of the other acute angle is, 10^o

Step-by-step explanation :

Right angle triangle : It is a type of triangle in which the one angle is 90^o.

As we know that the sum of interior angles of a triangle is equal to 180^o.

\angle A+\angle B+\angle C=180^o

Given:

\angle A=80^o

\angle B=90^o

Now put all the given value of angle in the above expression, we get:

\angle A+\angle B+\angle C=180^o

80^o+90^o+\angle C=180^o

\angle C+170^o=180^o

\angle C=180^o-170^o

\angle C=10^o

Thus, the measure of the other acute angle is, 10^o

puteri [66]3 years ago
6 0

90 + 80 + x = 180
x = 10
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Answer:

Vector (ordered pair - rectangular form)

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Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

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3 years ago
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3 years ago
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Answer:

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