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2 years ago

Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х FPlease help

Mathematics

1 answer:

Vaselesa [24]2 years ago

3 0

Answer:

Step-by-step explanation:

take 61 degree as reference angle

using cos rule

cos 61=adjacent/hypotenuse

0.48=5.5/x

x=5.5/0.48

x=11.45

x=11.5

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

2 years ago

a gardener plants 36 tomato vines in 2 hours at this rate how many tomato Vines can the gardener plant in 5 hours

Bumek [7]

The Correct Answer is 90

First find out how many in 1 hour so do

36÷2 to get 18

(36 Tomato Vines in 2 Hours)

Then do

18×5 to get 90

6 0

3 years ago

Please help will give brainliest

inessss [21]

Answer B) is the correct answer

4 0

3 years ago

Which value of x satisfies the equation below? 4x-7+25

Morgarella [4.7K]

Answer: =4x+18

Step-by-step explanation:

Let's simplify step-by-step.

4x−7+25

=4x+−7+25

Combine Like Terms:

=4x+−7+25

=(4x)+(−7+25)

=4x+18

Answer:

=4x+18

8 0

2 years ago

The original price of a car is $25000. Each year, its value depreciates (loses value) by 13%. Three years after its purchase, wh

Thepotemich [5.8K]

Answer:

$16,462.58

Step-by-step explanation:

25000(1-.13)^(n)

where n is the years

25000(.87)^3

put this into a calculator and get

16462.57

5 0

3 years ago

Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х FPlease help​

Solve for x. Round to the nearest tenth, if necessary. 5.5 D 61° х FPlease help