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2 years ago

First, drag a value to represent the missing angle in the triangle. Then, complete the trigonometry equality statements.

Mathematics

1 answer:

noname [10]2 years ago

6 0

The missing trigonometric values are listed below:

Angle A = 90 - θ
sin 28° = cos (62°)
Cos 33° = sin 57°
Cos 31° = sin 59°
Cos (90 - θ) = sin(θ)

<h3>Meaning of Trigonometry</h3>

Trigonometry is a branch of mathematics that studies angles of triangles and its side length.

Trigonometry is so important that every student must come across this branch of mathematics.

In conclusion, the missing trigonometric values are listed above

Learn more about trigonometry: brainly.com/question/24349828

#SPJ1

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How can I solve this problem

jolli1 [7]

Answer:

x = 27

Step-by-step explanation:

I'm going to use letters to label the parts of the triangle while explaining how to solve for x:

Angle A = x (bottom left angle of the triangle)

Angle B = 4x (top angle of the triangle)

Angle C = empty angle (bottom right angle of the triangle)

Angle D = 3x + 54 (angle outside of the triangle)

A line has a angle measurement of 180 degrees.

Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.

To find Angle C, we would subtract Angle D's equation from 180 like this:

180 - (3x + 54)

Now Angle C equals 180 - (3x + 54)

Now we have all the angles inside the triangle. To find x, we are going to sum up Angle A, B, & C and set it equal to 180.

We set the equation to 180 because a the sum of the interior angles for a triangle is 180.

The equation looks like this:

(180 - (3x + 54)) + 4x + x = 180

Now we use basic algebra to solve it:

(180 - (3x + 54)) + 4x + x = 180

(distribute the - to (3x + 54))

180 - 3x - 54 + 4x + x = 180

(add like terms on the left side of the equation)

126 + 2x = 180

(subtract 126 from both sides)

2x = 54

(divide both sides by 2)

x = 27

To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.

Hope it helps (●'◡'●)

6 0

3 years ago

Mike got a 45% discount when he bought a new jacket. Which of the following is NOT equivalent to 45%?

MariettaO [177]

Answer:

4/5 is NOT equivalent to 45%

Step-by-step explanation:

4/5 = 80%

4 0

3 years ago

An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet

drek231 [11]

<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

$Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h$

Where,

$r=radius=\frac{diameter}{2}\\h=height$

We are given the old can dimensions:

$radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm$

So, calculating the volume, we have:

$Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}$

We have that the volume of the old can is:

$Volume_{Can}=199.7cm^{2}$

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

$radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm$

Calculating we have:

$Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}$

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

$\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7$

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0

3 years ago

A trail around a lake is 4 1/4 miles long. What is the length, in feet, of the trail?

Allisa [31]

1 mile= 5280 feet
1/5280= 4.25/x This is a proportion.
5280 * 4.25= 22440
22440/1= 22440

4 1/4 miles= 22440 feet

Hope this helps! :D

7 0

3 years ago

Read 2 more answers

Draw the solution for 4(2+10) when using the distributive<br> property.

In-s [12.5K]

It would be 8 + 40 because you multiply the 4 by the 2 and 10

8 0

3 years ago