Ask question

Ask question

All categories

2 years ago

5

2. What is an expression for the distance between the origin and a point P(x, y)?

1 answer:

Hunter-Best [27]2 years ago

6 0

Step-by-step explanation:

Using distance formula: { origin is (0,0)}

√(x - 0)² + (y - 0)²

√x² + y²

You might be interested in

Plz help ill give brainleist

sergij07 [2.7K]

Answer:

D

Step-by-step explanation:

there isn't much of a harsh trend, but the graph shows that generally when the unemployment is lower, the life expectancy is higher, and when the unemployment is higher, the life expectancy is lower.

3 0

2 years ago

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

2 years ago

Urgent please help quick!!!

Radda [10]

Answer:

$x=-1\\y=-1$

Step-by-step explanation:

$5x+5y=-10\\3x-7y=4$

Let's solve the first equation for either x or y. I'll do it for x.

$5x+5y=-10$

Begin by subtracting 5y.

$5x=-5y-10$

Now divide by 5.

$x=\frac{-5y}{5}-\frac{10}{5}$

Simplify:

$x=-y-2$

Now substitute x in the second equation for this value.

$3x-7y=4\\3(-y-2)-7y=4$

Distribute;

$-3y-6-7y=4$

Add 6

$-3y-7y=4+6$

Combine like terms;

$-10y=10$

Divide by -10.

$y=\frac{10}{-10}\\ y=-1$

-----------------------------------------------------------------------------------------------------------

Take this value of y and replace it in the first equation to find the value of x.

$5x+5y=-10\\5x+5(-1)=-10\\5x-5=-10\\5x=-10+5\\5x=-5\\x=\frac{-5}{5}\\ x=-1$

5 0

2 years ago

3. What is the radius, in centimeters, of a circle that has a circumference of 16 centimeters?

ludmilkaskok [199]

Answer: 8cm I think-

3 0

1 year ago

Read 2 more answers

QUESTION 3<br>3.1 Round the following number up to the nearest whole number<br>R13492.39

ivolga24 [154]

Answer:

the answer is R13492

Step-by-step explanation:

hope it helps

3 0

1 year ago