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ryzh [129]
3 years ago
8

The area of the triangle below is __ sq units. A.80 B.21 C.42 D.40

Mathematics
2 answers:
hammer [34]3 years ago
6 0
Hi there!

• Base, b = 16
• Altitude, a = 5

Area of triangle = \dfrac{1}{2} × b × a = \dfrac{1}{2} × 16 × 5 = 40 sq. units.

Hence,
Option D. 40 sq. units is Correct

~ Hope it helps!
lorasvet [3.4K]3 years ago
3 0
Answer
40


The formula to determine the area of the right triangle is a*b/2

First, let’s input the numbers into the formula.

16*5/2

Now we need to solve.

16*5= 80
80/2= 40

Therefore, the answer would be 40.
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

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\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

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∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

  • 14x
  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

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timofeeve [1]

Answer:

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Step-by-step explanation:

We are given that

\theta=23^{\circ}

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We have to find the distance between the plane and bird.

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We know that

tan\theta=\frac{perpendicular\;side}{Base}

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x=\frac{5000}{tan23}=11779.3 \approx 11779ft

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