If 5% more than a is b, and b is 15% less than, what is the ratio of a to c

The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte

Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

If the given point is (x , y), then the angle lies in the 1st quadrant
If the given point is (-x , y), then the angle lies in the 2nd quadrant
If the given point is (-x , -y), then the angle lies in the 3rd quadrant
If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

triangle whose horizontal leg is 15 units and vertical leg

is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = $\sqrt{(15)^{2}+(-8)^{2}}=17$ units

∵ sinФ = $\frac{opposite}{hypotenuse}$

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = $\frac{-8}{17}$

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Andre has seven dollars he needs $50 to buy a skateboard each week his grandmother pays him four dollars to complete some chores

SVEN [57.7K]

Answer:

$11

$39

Step-by-step explanation:

Amount Andre has = $7

Amount his grandmother pays him every week = $4

Amount Andre needs to buy a skateboard = $50

how much money does Andre have after the week?

Amount of money Andre has after the week = Amount Andre has + Amount his grandmother pays him every week

= $7 + $4

= $11

Amount of money Andre has after the week = $11

Amount Andre needs more to buy the skateboard = Cost of the skateboard - Amount of money Andre has after the week

= $50 - $11

= $39

Amount Andre needs more to buy the skateboard = $39

6 0

3 years ago

Please help me and show work please.

UkoKoshka [18]

The answer is B by inspection, there really isn't any work to show. You could check every wrong answer to prove it's wrong but that's not needed.

4 0

3 years ago

A rectangle is dilated by a scale factor of y to create a new rectangle. The area of the new rectangle is y2 times the area of t

slamgirl [31]

Answer: True

Step-by-step explanation:

Suppose the length and width of the original rectangle is L and W

After dilation by a factor of y, it becomes yL and yW

Area of the original rectangle $A_1=L\times W$

The area of the dilated rectangle is $A_2=yL\times yW=y^2LW$

we can see that

$\Rightarrow A_2=y^2A_1$

4 0

3 years ago

Please help I have no clue what to do

max2010maxim [7]

Answer: m= 3

Step-by-step explanation:

Because 4xm=12 4x3=12 so the answer will be 3

8 0

3 years ago