Function B is a linear function that goes through the points shown in the

A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

3 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

pashok25 [27]

Area=length x width
A=10x(3/2 x + 1/2 y).
Now Distribute...
A=30x^2/2 + 10xy/2)
Now simplify fractions...
A=15x^2 + 5xy= 125

So I believe your answer is D)

7 0

2 years ago

Read 2 more answers

Please help me with my question,Thanks!! (By the way the ratio is 12 to 36)

saul85 [17]

To answer this, you would use the original ratio of 2 to 5 and create an equivalent ratio that includes the 12 tulips. You would get a ratio of 12 to 30. This is not enough daisies.

I then tried 2/5 times 7/7, but it still did not reach the 36 daisies that are there. When you use a factor of 8, you will get 16 tulips to 40 daisies. This works!

You would need to add 4 tulips and 4 daisies to what he already has.

5 0

3 years ago

I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? & how many hours w

Aneli [31]

Answer:

1347 hours

Step-by-step explanation:

Assuming the income is net income (total after taxes etc.):

Cost of car = $17,500
Net income = $13 per hour

To calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:

$\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}$

We have to round the number up to 1347 hours, as only $17,498 will be saved if 1346 hours are worked.

The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:

⇒ 1347 ÷ 40 = 33.675

So it would take 34 weeks, working an average of 40 hours a week and not spending any of the money earned, to save enough to purchase the car.

8 0

1 year ago

Read 2 more answers

The size of a bicycle is determined by the diameter of the wheel. You want a 22-in bicycle for your birthday. What is the area o

oksian1 [2.3K]

Answer:

The Area of the bicycle wheel=380.182 square inch

Step-by-step explanation:

The formula for calculating the area of a wheel is given by;

A=(πd²)/4

A=Area of the wheel to be calculated

Where π (pie)=3.142,

The wheel size is usually denoted by its diameter (d)

d=diameter of the wheel=22 inches

with the values of π and d given, we can plug them in the formula for calculating Area to determine the area of the bicycle wheel

Substituting the values for π and d in the formula;

A=(πd²)/4=(3.142×22²)/4=380.182 in²

The Area of the bicycle wheel=380.182 in²

6 0

3 years ago