1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Len [333]
3 years ago
13

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o

ut animals. Find the length of fencing you need to the nearest meter.​

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

(10, 0) = (x_1, y_1)

(16, 8) = (x_2, y_2)

d = \sqrt{(16 - 10)^2 + (8 - 0)^2}

d = \sqrt{(6)^2 + (8)^2}

d = \sqrt{36 + 64} = \sqrt{100}

d = 10

Length of fencing = 6 + 8 + 10 = 24 m

You might be interested in
Help me or I’ll fail my math grade
Yuri [45]

Answer:

LMP and NMP

Step-by-step explanation:

Adjacent angles are next to each other and share a side

LMP and NMP share a side and are next to each other

4 0
3 years ago
Can someone help me pls
marta [7]

Answer:

237?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqr
seraphim [82]

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

Perimeter = a\sqrt{2} + b\sqrt{10}

Required

a + b

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

(x_1,y_1) = A(0,1)

(x_2,y_2) = B(3,4)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}

AB = \sqrt{( - 3)^2 + (-3)^2}

AB = \sqrt{9+ 9}

AB = \sqrt{18}

AB = \sqrt{9*2}

AB = \sqrt{9}*\sqrt{2}

AB = 3\sqrt{2}

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

(x_1,y_1) = B (3,4)

(x_2,y_2) = C(4,3)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}

BC = \sqrt{(-1)^2 + (1)^2}

BC = \sqrt{1 + 1}

BC = \sqrt{2}

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = C(4,3)

(x_2,y_2) = D (3,0)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}

CD = \sqrt{(1)^2 + (3)^2}

CD = \sqrt{1 + 9}

CD = \sqrt{10}

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

(x_1,y_1) = D (3,0)

(x_2,y_2) = A (0,1)

Substitute these values in the formula above

Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}

DA = \sqrt{(3)^2 + (- 1)^2}

DA = \sqrt{9 +  1}

DA = \sqrt{10}

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}

Perimeter = 4\sqrt{2} + 2\sqrt{10}

Recall that

Perimeter = a\sqrt{2} + b\sqrt{10}

This implies that

a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}

By comparison

a\sqrt{2} = 4\sqrt{2}

Divide both sides by \sqrt{2}

a = 4

By comparison

b\sqrt{10} = 2\sqrt{10}

Divide both sides by \sqrt{10}

b = 2

Hence,

a + b = 2 + 10

a + b = 12

3 0
3 years ago
Y=-x^2+20x-64 what is the max height
Inessa [10]

Answer:

36

Step-by-step explanation:

The maximum height is the y-coordinate of the vertex

given a quadratic in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = - x² + 20x - 64 is in standard form

with a = - 1, b = 20 and c = - 64, hence

x_{vertex} = - \frac{20}{-2} = 10

substitute x = 10 into the equation for y

y = - (10)² + 20(10) - 64 = 36 ← max height


8 0
3 years ago
Tawny has 2 1/2 pints of juice. She has glasses that can hold 5 fluid ounces. How any glasses can she fill with juice?
Oduvanchick [21]
1 pint = 20 fl. oz
20/5 = 4 cups can be filler per pint
4*2.5 = 10 cups can be filled overall
6 0
3 years ago
Other questions:
  • 144 students enter a spelling bee,but only 1/6 of the group will make into the semi-final round, and only 2/3 that group will ma
    13·1 answer
  • Please answer ASAP!!
    9·1 answer
  • Elly buys 75 shares of stock in a mutual fund for a total investment of $450. She sells 50 shares of her stock for total proceed
    8·2 answers
  • Salim and Asma are going to the fair to enjoy themselves. Their parents give Rs 49 and Rs 45 respectively.as spending money. At
    11·1 answer
  • +54- -75 what the answer
    5·2 answers
  • Can someone help? What’s the answer.
    9·1 answer
  • Simplify -2x^3y+xy^2
    9·1 answer
  • Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an a
    11·1 answer
  • The temperature control unit on a commercial freezer in a 24-hour grocery store is set to maintain a mean temperature of 23 degr
    11·1 answer
  • Which property is this an example of?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!