All categories

3 years ago

I need help with math due tonight please help!!!!!

Mathematics

2 answers:

sammy [17]3 years ago

8 0

The third one. I need to add extra characters though so shdmsns

lozanna [386]3 years ago

4 0

The third shape! When you fold the pieces together you can calculate the correct answer is the third shape!

You might be interested in

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

Find the area of the figure. Round your answer to the nearest tenth.

Ulleksa [173]

Answer:

Area of the parallelogram= $10\sqrt{3} m^2$

Step-by-step explanation:

Area of a parallelogram = Length * Perpendicular height

To find the perpendicular height of the parallelogram:

Using given angle 60° in the triangle.

$sin(60)=\frac{Perpendicular}{Hypotenuse}$

$\frac{\sqrt{3} }{2}=\frac{Perpendicular}{4} \\\\Perpendicular=\frac{4\sqrt{3} }{2} \\\\Perpendicular=2\sqrt{3} m$

Area of the Parallelogram:

$=5*2\sqrt{3}\\\\ =10\sqrt{3}$

Area of the parallelogram= $10\sqrt{3} m^2$

7 0

3 years ago

What is 9,167.364 in expanded form?

Basile [38]

Answer:

9,000+100+60+7+.3+.06+.004

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

At a restaurant, three salads, two sandwiches, and one drink cost $17.75. One salad, one sandwich, and three drinks cost $10.75.

Leno4ka [110]

Answer:

A salad costs $2.50

A sandwich costs $4.50

A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75 (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75 (2)

Since a salad costs twice as much as a drink:

x = 2z (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

-3z = -3.75

z = 1.25

x = 2z → x = 2.50

x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50

5 0

2 years ago

Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a division equation to find how many t

Shalnov [3]

Since each girl gets 11 sticker that means that there are 22 stickers in the pack.

11x2=22

4 0

3 years ago