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3 years ago

Please answer this question

Mathematics

2 answers:

Alexus [3.1K]3 years ago

8 0

Answer:

0.3

Step-by-step explanation:

lawyer [7]3 years ago

6 0

3/8 because half of 8/8 is 4/8 and 4/8-1/8 equals 3/8

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A car rental costs a fee of $150 plus $35 per

lutik1710 [3]

Answer:

5 hours

Step-by-step explanation:

We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.

$325 - $150 = $175

Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.

$175 ÷ $35 = 5 hours

3 0

3 years ago

circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc

oksian1 [2.3K]

The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
 they are all congruent
so
divide 180 by 3 ----------------> 180/3=60°

Find the length of arc rc=60°

if 360°----------------> (2*pi*7) length of circumference
60° -------------------> X
X=60*2*pi*7/360------------> 7.327 units

the answer is
the length of arc rc= 7.33 units

3 0

3 years ago

When can you write ratios as a fraction?

k0ka [10]

Answer:

In a mathequation when needed

Step-by-step explanation:

4 0

3 years ago

Urgent!! Will mark brainliest!!

horsena [70]

Answer:

1) x is negative and y is positive ⇒ last answer

2) cotФ = -12/35 ⇒ second answer

3) The right identity is cot²Ф - csc²Ф = -1 ⇒ last answer

Step-by-step explanation:

* For any point (x , y) lies on the terminal side of the angle Ф

in standard position

* x = cosФ and y = sinФ

- If Ф in the first quadrant, then x , y are positive

∴ All trigonometry functions are positive

- If Ф in the second quadrant, then x is negative , y is positive

∴ sinФ only is positive

- If Ф in the third quadrant, then x is negative , y is negative

∴ tanФ only is positive

- If Ф in the fourth quadrant, then x is positive , y is negative

∴ cosФ only is positive

* Lets solve the problems

∵ Ф = 3π/4 ⇒ (135°)

∴ It lies on the second quadrant

∴ x is negative and y is positive

* Lets revise the reciprocal of sinФ, cosФ and tanФ

- cscФ = 1/sinФ

- secФ = 1/cosФ

- cotФ = 1/tanФ

∵ secФ = -37/12

∴ cosФ = -12/37

∵ π/2 < Ф < π

∴ Ф lies on the second quadrant

∴ cotФ is negative values

∵ tan²Ф = sec²Ф - 1

∵ secФ = -37/12

∴ tan²Ф = (-37/12)² - 1 = 1225/144 ⇒ take√ for both sides

∴ tanФ = ± 35/12

∵ cotФ = ± 12/35

∵ cotФ is negative value

∴ cotФ = -12/35

* In the standard position of the angle Ф the terminal

of it lies on the unit circle O

- By using Pythagorean theorem

∵ x² + y² = 1

∵ x = cosФ and y = sinФ

∴ cos²Ф + sin²Ф = 1 ⇒ (1)

∴ cos²Ф = 1 - sin²Ф

∴ sin²Ф = 1 - cos²Ф

* Divide (1) by cos²Ф

∴ cos²Ф/cos²Ф + sin²Ф/cos²Ф = 1/cos²Ф

* Remember sin²Ф/cos²Ф = tan²Ф and 1/cos²Ф = sec²Ф

∴ 1 + tan²Ф = sec²Ф ⇒ (2) ⇒ subtract 1 from both sides

∴ tan²Ф = sec²Ф - 1 ⇒ subtract sec²Ф from both sides

∴ tan²Ф - sec²Ф = -1

* Divide (1) by sin²Ф

∴ cos²Ф/sin²Ф + sin²Ф/si²Ф = 1/sin²Ф

* Remember cos²Ф/sin²Ф = cot²Ф and 1/sin²Ф = csc²Ф

∴ cot²Ф + 1 = csc²Ф ⇒ (3) ⇒ subtract 1 from both sides

∴ cot²Ф = csc²Ф - 1 ⇒ subtract csc²Ф from both sides

∴ cot²Ф - csc²Ф = -1

* The right identity is cot²Ф - csc²Ф = -1

3 0

3 years ago

Find the size of the angle 3 x .

AlexFokin [52]

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

8 0

3 years ago