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k0ka [10]
3 years ago
8

Please help quickly. thanks in advance​

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

a. sin 30* = sin 150*

b. sin 1* = sin 179*

a. cos 340* = cos 20*

b. cos 260* = cos 100*

Step-by-step explanation:

sine is symmetrical around x = 90*

cosine is symmetrical around x = 180*

* means degree sign of course.

You might be interested in
The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

6 0
4 years ago
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
Rudik [331]

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

6 0
3 years ago
Read 2 more answers
What is the total cost of an item priced $4.95 if there is 5% sales tax?
Paha777 [63]
4.95+4.95×0.05=5.20
5 dollars 20 cents
7 0
4 years ago
Find the system of x.​
marissa [1.9K]

Answer:

61 degrees

Step-by-step explanation:

A right angle equals 90 degrees.

90-29= 61

6 0
3 years ago
Read 2 more answers
A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the vol
Romashka [77]

<u>Answer:</u>

Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.

<u>Step-by-step explanation:</u>

As the base of triangular prism is equilateral:

∴ Area of base = (√ 3 / 4)× (side)²

According to question:

height of prism = height (side) of base

Volume of prism = 81 cm³,

∴ Volume of prism = Area of base x height

⇒  81 cm³ = (√ 3 / 4)× (side)² × height       ∵ side = height

⇒   81 cm³ = (√ 3 / 4)× (side)³

⇒  81 × (4/√3) cm³ = side³    

⇒  ∛(81 × (4/√3) cm = side

⇒  side = <u>5.72cm</u>

6 0
3 years ago
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