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EleoNora [17]
3 years ago
13

What angle, to the nearest degree, does the wooden plank form with the ground?

Mathematics
2 answers:
solmaris [256]3 years ago
8 0

Answer:

29 degrees to nearest degree.

Step-by-step explanation:

This is the angle whose tangent is  10/18 or 5/9.

this = 29 degrees

AlexFokin [52]3 years ago
6 0

29°

Consider the right triangle between the plank and the ground

the angle can be found using tangent ratio

tanx° = \frac{opposite}{adjacent}

where adjacent = 18 and opposite = 10

tanx° = \frac{10}{18}

x = tan^{-1}(\frac{10}{18}) = 29.0546 ≈ 29°


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bazaltina [42]
3 and 2 would be 122 since 3 and the 58° are a linear pair making them add up to 180. And 3 and 2 are vertical so they would be congruent.
4 would then have to be 38 since the three angles would have to measure up to 180.
And the 1 would have to be 36 with the same reasoning as before.
Disclamier (I might have done some math wrong since I did it in my head.)
4 0
4 years ago
Read 2 more answers
jason ate 1/4 of a pizza. The pizza was a larger that had diameter of 12 inches. how much pizza did jason eat?
Marrrta [24]

Answer:

  9π in², about 28.27 in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = π·r² . . . . . where r is the radius

Here, the diameter is 12 in, so the radius is 6 in. The area of the entire pizza is then ...

  A = π·(6 in)² = 36π in²

Jason ate 1/4 of it, so ate an area that is ...

  (1/4)·36π in² = 9π in² ≈ 28.27 in²

_____

<em>Comment on the problem</em>

The problem statement tells you Jason ate 1/4 of a 12-inch pizza. The problem statement does not ask for that quantity to be expressed in any other unit of measure.

3 0
3 years ago
PLEASE PLEASE HELP AND I NEED YOU TO DO IT FAST BECAUSE I HAVE TO GO SOON
Greeley [361]

The height is modelled by the equation:

h(t)=-0.2t^2+2t

Therefore

\begin{gathered} \text{ } \\ \frac{\text{ dh}}{\text{  dt}}=-0.4t+2 \end{gathered}

At the maximum height dh/dt = 0:

Hence,

\begin{gathered} -0.4t+2=0 \\ -0.4t=-2 \\ \text{ Dividing both sides by -0.4} \end{gathered}\begin{gathered} \frac{-0.4t}{-0.4}=\frac{-2}{-0.4} \\ t=5 \end{gathered}

Hence, the ball gets to the maximum height after 5s.

The maximum height is given by h(5):

h(5)=-0.2(5)^2+2(5)=5

Therefore, the maximum height is 5 ft.

When the ball reaches the ground h(t) = 0:

\begin{gathered} -0.2t^2+2t=0 \\ \text{ Dividing both sides by -0.2, we have:} \\ t^2-10t=0 \\ Factorising\text{ the left hand side, we have} \\ t(t-10)=0 \\ \text{ Therefore,} \\ t=0,\text{ t=10} \end{gathered}

The ball reaches the ground in 10s

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8 0
1 year ago
Limone's Lemonade Corp. has a savings plan for its employees. If an employee makes an initial contribution of $1,000.00, the com
Assoli18 [71]

Answer: I don't know

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7 0
3 years ago
Please please please help need this right now I will give brainless
telo118 [61]

Answer:

system of equations:

y \leq \frac{3}{4}x + 3\\y < -\frac{7}{2}x -3

Step-by-step explanation:

I've attached an image with an explanation below, hope it helps!

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