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BartSMP [9]
3 years ago
15

Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure

of the third angle?
A) 50°
B) 80°
C) 100°
D) 260°
Mathematics
2 answers:
Andrei [34K]3 years ago
8 0
The answer will be B because all three angles of the triangles add up to180 degrees, and we already know the total of two other angles are 100 degrees, which made the unknown angles have 80 degrees. Hope it help!
Llana [10]3 years ago
7 0

Answer:

B) Third angle  80°.

Step-by-step explanation:

Given  : Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°.

To find : What should be the measure of the third angle.

Solution : We have given a triangle

One angle of triangle = 30° .

Second angle of triangle = 70°.

Let the third angle = x .

By the angle sum property : Sum of all the angle of a triangle is 180°.

Then, 30° + 70° + x = 180.

100 ° + x = 180°.

On subtracting both sides by 100

x = 180 - 100.

x = 80 degree.

Therefore, B) Third angle  80°.

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The path of a football can be modelled by the equation, h=-10d2+120d , where h represents the height, in metres, of the football
Marta_Voda [28]

Answer:

12 m

Step-by-step explanation:

The path of a football has been modeled by the equation:

h= -10d^2+120d

where h represents the height and d represents the horizontal distance.

When the ball lands, it means that its height is back at 0 metres. This means that we have to find horizontal distance, d, when height, h, is 0.

=> 0= -10d^2+120d

=> 10d^2 - 120d = 0

d(10d - 120) = 0

∴ d = 0 m

and

10d - 120 = 0

=> d = 120 / 10 = 12 m

There are two solutions for d when h = 0 m.

The first solution (d = 0 m) is a case where the ball has not been thrown at all. This means the ball has not moved away from the football player and it is still on the ground.

The second solution is the answer to our problem (d = 12 m). The ball lands at a horizontal distance of 12 m

3 0
3 years ago
the proper angle for a ladder is about 75 degrees. from the ground. suppose you have a 9 foot ladder. how far from the house sho
icang [17]

ANSWER:

2.33 foot

STEP-BY-STEP EXPLANATION:

We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

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Replacing and solving for x:

\begin{gathered} \cos 75=\frac{x}{9} \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}

The distance would be 2.33 foot

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