Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

The area of square OPQR is 9 units².

Since

ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.

Also,

ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

So it can be like

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

= 3 x 3

= 9 units²

hence, The area of square OPQR is 9 units².

Learn more about area here: https://brainly.com/question/24703634

Answer:

4th power

5x5x5x5 = 625

Step-by-step explanation:

Answer: log5(625)=x

Step-by-step explanation:

Answer:

640 bagels

Rate: 40bagels/hour

Step-by-step explanation:

If the baker's at a bakery can make 160 bagels in 4 hours, then;

160 bagels = 4 hours

To calculate the amount the baker can bake in 16hours, we can write;

x bagels = 16hours

Divide both expressions

160/x = 4/16

160/x = 1/4

Cross multiply

x* 1= 160 * 4

x = 640

Hence the baker can bake 640 bagels in 16hours

To know the rate per hour, we can write;

x bagel = 1hr

Recall that; 160bagels = 4 hours

Cross multiply

x * 4 = 1 * 160

4x = 160

x = 160/4

x = 40

Hence the rate per hour is 40bagels/hour

Answer:

y<14/3

Step-by-step explanation:

−3y < −14

dividing both side by -3

-3y/-3 <-14/-3

y<14/3

The solution of the inequality will be equal to y<14/3.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given inequality will be solved as,

−3y < −14

Dividing both sides by -3 and solving further.

-3y/-3 <-14/-3

y < 14

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

See https://brainly.com/question/22237817 for a complete explanation.

Answer:

57 years

Step-by-step explanation:

total=25*6=150

17+21+15+15+25+x=150

93+x=150

x=150-93

x=57

Answer:

age=57

Step-by-step explanation:

ages=17 21 15 15 25 ?

17+21+15+15+25=93(old mean)

17+21+15+15+25+?=25(new mean)

25(new mean)*6(number of numbers)=150

?=150-93=57

= 57

Answer:

The answer is 17.5

Hope this helps

Answer: 60%

Step-by-step explanation: 1920/3200=.6  .6 in a percentage is 60%

Answer:

the answer is 5-2n please do you get it

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Answer:

A is (-4,-3) and B is (6,-5)

Step-by-step explanation:

Answer:

a(n) = 13 - 2n

Step-by-step explanation:

The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.

1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)

2. Distribute: a(n) = 11 - 2n + 2

3. Add like terms: a(n) = 13 - 2n

If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)

Answer:

Step-by-step explanation:

D

Answer:

Perimeter = 44.8

Step-by-step explanation:

Perimeter = 2(13.4 + 9) = 44.8

Answer and Step-by-step explanation:

For this, you would need to use the trigonometric function Sine and cosine.

The trig equations are:

sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]

cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]

Let's start with Sine:

sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (sin(60)) = x[/tex]

Input into calculator and solve.

x = 15

Now for Cosine:

cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (cos(60)) = x[/tex]

Input into calculator and solve.

y = [tex]5\sqrt{3}[/tex]

x = 15

y = [tex]5\sqrt{3}[/tex]

These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .

First, let's calculate the value of [tex]y[/tex].

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]y[/tex] = [tex]\frac{a}{2}[/tex]

[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]

[tex]y[/tex] = [tex]5\sqrt{3}[/tex]

----

Now, let's get to [tex]x[/tex]

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]

[tex]x[/tex] = [tex]\frac{30}{2}[/tex]

[tex]x[/tex] = [tex]15[/tex]

----

[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]

Answer: About 3.14 inches

Answer:

433.5 cm²

Step-by-step explanation:

The formula for circumference is C = 2πr, where r is the radius.

Here, C = 2πr = 73.79 cm.  Solving this for the radius, r, we get:

     73.79 cm

r = ---------------- = 11.75 cm

        2(3.14)

Then the area of the hubcap is A = πr², or, in this case,

A = 3.14(11.75 cm)²  =  433.5 cm²

Answer:

simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps

Step-by-step explanation:

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

Answer:

im pretty sure it is "4 units"

Step-by-step explanation:

8) y intercept is (0, 15) or 15

   slope is 10 (the y intercept represents how much it would cost to open an online gaming account and the slope represents how much each game costs after you open an online gaming account, including the $15 fee to open the account)

9) y=10x+15

10) you can look at the graph where it says number of games and go to 6 and go up until you reach the line and look at the side where it says cost (dollars) and then you will see that 6 games cost $75

Answer:

48

Step-by-step explanation:

First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

Answer:

c)0.65

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

1.2 + 0.65 = 1.85

1.85 + 0.65 = 2.5

2.5 + 0.65 = 3.15

And so on...

Answer:

the answer would be 5(10-7x)

Step-by-step explanation:

factors 5 out of 50-35x

hope this helps.

correct me if I'm wrong  

have a good afternoon.

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5