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Jlenok [28]
3 years ago
6

It takes 2/3 hour to pick all the apples on one tree at Springwater Farms. There are 24 trees. How long will it take to pick all

the apples?
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

16 hours

Step-by-step explanation:

You might be interested in
What is the value for y?<br> Enter your answer in the box.<br> y=
serious [3.7K]

Answer:

y =112

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

x - 5=34

Also, we have:

y + x - 5 + 34=180 --- angles in a triangle

Substitute: x - 5=34

y + 34 + 34=180

Collect like terms

y =- 34 - 34+180

y =112

5 0
3 years ago
Find the probability that a point is chosen randomly inside the rectangle is in each given shape...
BaLLatris [955]

Answer:

  1. <u>0.25</u>
  2. <u>0.85</u>

Step-by-step explanation:

P (Triangle or Square) :

  • Area of Triangle + Area of Square / Area of Rectangle
  • 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
  • 6 + 9 / 60
  • 15/60
  • <u>0.25</u>

<u></u>

P (Not the square) :

  • Area of rectangle - Area of square / Area of rectangle
  • 60 - 9 / 60
  • 51/60
  • 17/20
  • <u>0.85</u>
5 0
2 years ago
Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos
Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$ P_{1} = (- 1, 4) $

$ P_{2} = (6, 2) $    and

$ P_{3} = (4, - 5) $

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $ (x_1, y_1) $ and $ (x_2, y_2) $ is:

                                 $ \sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+}   \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}} $

Length between $ P_1 $ and $ P_{2} $ , (Side 1) :

$ (x_1, y_1) = (- 1, 4) $     and

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2 $

$ = \sqrt{7^2 + 2^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53}} $

Length of Side 1 = $  \sqrt{\textbf{53}} $ units.

Distance between $ P_1 $ and P_2 , (Side 2):

$ (x_1, y_1) = (-1, 4) $

$ (x_2, y_2) = (4, - 5) $

Distance = $ \sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2 $

$ = \sqrt{ 25 + 81 } $

$ = \sqrt{\textbf{106}} $

Length of Side 2 = $ \sqrt{\textbf{106}} $ units.

Distance between $ P_2 $ and $ P_3 $ , Side 3 :

$ (x_1, y_1) = (4, 5) $

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53} $

Length of Side 3  = $ \sqrt{\textbf{53}} $ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$ \bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2 $

i.e, 53 + 53  = 106

Hence, the triangle is a right - angled triangle as well.

7 0
3 years ago
I need help on this, if anyone knows how to do this can you help me out pls
ASHA 777 [7]
<h3>Answer:  (3, 0)</h3>

=================================================

Explanation:

Let's isolate x in the first equation.

x-2y = 3

x = 3+2y

Then we'll plug this into the second equation

Afterwards, solve for y.

2x + 4y = 6

2(3+2y)+4y = 6

6+4y+4y = 6

8y+6 = 6

8y = 6-6

8y = 0

y = 0/8

y = 0

Use this to find x.

x = 3+2y

x = 3+2(0)

x = 3

The solution is therefore (x,y) = (3, 0)

If you were to graph both lines, then they would intersect at the location (3,0).

-----------------------------

Checking the answer:

Plug x = 3 and y = 0 into the first equation.

x-2y = 3

3-2(0) = 3

3 - 0 = 3

3 = 3 that works

Repeat for the other equation

2x+4y = 6

2(3) + 4(0) = 6

6 + 0 = 6

6 = 6 that works as well

Both equations are true when (x,y) = (3,0).

The solution is confirmed.

6 0
2 years ago
A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$27. Opti
vodomira [7]

Answer: $12,500

Step-by-step explanation:

Option A earnings=40*25=1,000

8/100x=1,000

.08x=1,000

x=1,000/.08

x=12,500

4 0
3 years ago
Read 2 more answers
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