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3 years ago

PLEASEEEEEEEEEEE HELPPPP WILL GIVE BRAINLIEST!!!!!!!PLEASEEEEEEE

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Answer:

7f lenghtg is 29.2

Step-by-step explanation:

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Solve this system and list the method that you chose graphing substitution or elimination Y=2x-12

zmey [24]

Substitution

y = 2x - 12
y = -x + 3

-x + 3 = 2x - 12
+ x + x
-----------------------------
3 = 3x - 12
+ 12 + 12
-----------------------
15 = 3x
------ ------
3 3

x = 5

y = 2(5) - 12
y = 10 - 12
y = -2

The final answer is (5,-2).

8 0

3 years ago

What is the area of the sector ?

worty [1.4K]

They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first. By the Law of Cosines

$x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ$

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,

$x^2 = 9^2 + 9^2 - 2(9)(9) \cos B$

$x^2 = 162 - 162 \cos B$

$\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}$

$\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}$

$B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)$

The area of the circle is the fraction given by the angle,

$A = \dfrac{B}{360^\circ} \pi r ^2$

$A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2$

$A\approx 24.7474332960707$

Answer: 24.7 sq cm

8 0

3 years ago

Evaluate each expression 3 1/2 - 4 2/3

Kruka [31]

Answer:

-7/6

Step-by-step explanation:

To evaluate this, start by turning each into improper fractions.

3 1/2 - 4 2/3

7/2 - 14/3

Now give both common denominators and complete the operation.

7/2 - 14/3

21/6 - 28/6

-7/6

5 0

3 years ago

The number of cars (c) in a parking lot increases when the parking fee (f) decreases.

Vitek1552 [10]

The answer is c maybe?

5 0

4 years ago

Two more than the product of a number and 6 is equal to 5.

8090 [49]

Answer:

b = 1/2

Step-by-step explanation:

6x + 2 = 5

6x = 3

x = 1/2

8 0

3 years ago