Angle r° = 2w°. What is the measure of angle r°? please helppp

120°
240°
286°
143°

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Answer:

x = 90

Step-by-step explanation:

9x + 80 = 890 ( subtract 80 from both sides )

9x = 810 ( divide both sides by 9 )

x = 90

Answer:

41200 in scientific notation = 4,1 . 10⁴

Answer:

The exponent is 4

[tex]4.12[/tex] × [tex]10^{4}[/tex]

Step-by-step explanation:

Hope this helps

The volume of the hexagonal prism is the amount of space in it.

From the complete question, we have:

Length (l) = 8

Height (h) = 5

The surface area of the hexagonal prism is:

[tex]A=6lh+3l^2\sqrt 3[/tex]

So, we have:

[tex]A=6*8*5+3*5^2\sqrt 3[/tex]

Evaluate

[tex]A = 369.9[/tex]

Hence, the surface area is 369.9 square feet

The volume of the hexagonal prism is:

[tex]V = \frac{3\sqrt 3}{2} * l^2h[/tex]

So, we have:

[tex]V = \frac{3\sqrt 3}{2} * 8^2 * 5[/tex]

Evaluate

[tex]V = 831.4[/tex]

Hence, the volume is 831.4 cubic feet

Read more about surface area and volume at:

https://brainly.com/question/13175744

Answer:

20.19°

Step-by-step explanation:

Find the diagram to the question attached. We are to look for <CAB

Applying sine rule on ΔABC:

[tex]\frac{4.5}{sin15^0} = \frac{6}{sin<CAB}[/tex]

cross multiply

[tex]4.5 * sin<CAB =6 sin15^0\\\\sin<CAB = \frac{6sin15^0}{4.5}\\ \\sin<CAB = \frac{6*0.2588}{4.5}\\ \\sin<CAB = \frac{1.5529}{4.5}\\\\sin<CAB = 0.3451\\\\<CAB = sin^{-1}0.3451\\[/tex]

[tex]<CAB = 20.19^0\\[/tex]

Hence the angle <CAB is 20.19°

The angle ∠CAB is 20.19° and the distance (d) Ollie is from the entrance to his house when he first activates the sensor is 5.77 m.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Ollie has installed security lights on the side of his house that is activated by a sensor.

The sensor is located at point C directly above point D.

The area covered by the sensor is shown by the shaded region enclosed by triangle ABC.

The distance from A to B is 4.5 m and the distance from B to C is 6 m.

The angle ACB is 15°.

The ∠CAB is ∠A.

We know that the sine rule

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} = \dfrac{c}{\sin C}[/tex]

We have

[tex]\dfrac{AB}{\sin C} \ \ = \dfrac{BC}{\sin A} = \dfrac{AC}{\sin B}\\\\\\\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} = \dfrac{b}{\sin B}[/tex]

From the first two, we have

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{6}{\sin A} \\\\\sin A = \dfrac{6}{4.5} \times \sin 15^o\\\\A \ \ \ \ = 20.19^o[/tex]

We know that the sum of the angle is 180 degrees. Then we have

    ∠A + ∠B + ∠C = 180°

20.19° + ∠B + 15° = 180°

                      ∠B = 144.81°

Then the value of b will be

[tex]\dfrac{4.5}{\sin 15^o} = \dfrac{b}{\sin 144.81^o}\\\\\\b \ \ \ = 10.02[/tex]

Then the distance (d) Ollie is from the entrance to his house when he first activates the sensor will be

d = b × sin 144.81°

d = 10.02 × sin 144.81°

d = 5.77 m

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

344

Step-by-step explanation:

First we are going to find the area of the top and bottom

8x8=64. Since the top and bottom are the same, we can do 64x2=128.

Now we are going to find the area of the left and right sides.

8x7=54. Since the right and left are the same, we can do 54x2=108.

Now we are going to find the area of the front side and the back side.

8x7=54. Since the front and back are the same, we can do 54x2=108.

Now we add our answers up. 128+108+108=344

Step-by-step explanation:

simply use trigonometric formula

sin (x)= perpendicular/ hypotenuse

For reason 3, look at how we got from step 2 to step 3.

In this case, we combined like terms or simplifies the left side.

So the reason for statement 3 is simplifying.

For statement 4, we look at how we got from step 3 to step 4.

Notice that we subtracted the same quantity, -12x, from both sides of the

equation and this is the subtraction property of equality.

For statement 5, we look at how we got from step 4 to step 5.

Here, we added the same quantity to both sides

and this is called the addition property of equality.

Finally, we use the division property of equality,

to get the final solution to the equation, x = 2/3.

P = sum of the sides

P = 1,8k - 5 + (3,5 + 6,1k) + (k + 1,5)

  = 1,8k + 6,1k + k - 5 + 3,5 + 1,5

  =        8,9k        

Answer:

Step-by-step explanation:

If the diagonals in a rhombus are 8 and 6 then the perimeter is

a) 16

b) 18

c) 20

d) 22

the regular rhombus is formed by 4 right triangles, 1/2 of the diagonal is the cathetus.

8 : 2 = 4

6 : 2 = 3

find with Pythagoras the side of the rhombus

s = √(4² + 3²)

s = √(16 + 9)

s = √25

s = 5

now we find the perimeter by adding the 4 sides

5 + 5 + 5 + 5 = 20

Answer:

point slope form: y-1=0(x-2) or Slope-Intercept form: y=x-1

Step-by-step explanation:

Answer:

$3,245

Step-by-step explanation:

Assuming that the $415 is paid yearly, Eddie has to pay a total of $3,245.

2,000 + (415 x 3)

2,000 + 1,245

2,000 + 1,245 = 3,245

Answer: 70 animals

Step-by-step explanation:

Since Marshall predicted that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated . This means that 80/100 = 4/5 of the animals that enter the shelter are vaccinated.

Let the animals that enter in July be y. This will be:

4/5 × y = 56

0.8y = 56

y = 56/0.8

y = 70

70 animals entered in July

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

Answer:

24weeks

Step-by-step explanation:

So if she spends 5$ three times a week she spends 15$ a week

She babysits once a week for 40$

That means that she saves 25$ from babystitting each week

As she already has saved 200$, she only lacks 600$ for the purchase

600$ / (25$/week) = 24 weeks

If she stops buying coffee it will instead only take her 15 weeks to buy a new laptop

Answer:

1200times 3 =4800 thanks for asking

Answer:

3657$

Step-by-step explanation:

You're supposed to enter numbers there I believe, in which case if 23 people payed 159 dollars for a ticket each that would be an equation that looks something like 159*23 which would bring you to the answer of 3657. maybe just put 0s in the first 2 boxes to fill it out.

The circle graph is used to show the preference of each customer

32 customers preferred bread

From the question, we have:

Bread = 47%

Total customers = 69

So, the number of customers that preferred bread is:

Bread = 47% * 69

Evaluate the product

Bread = 32.43

Approximate

Bread = 32

Hence, 32 customers preferred bread

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer: 21

3(4) + 2(5) - 1 = 21

Answer:

not a right triangle in maths

Step-by-step explanation:

FALSE, the Pythagorean Theorem is not satisfied

but true in real life, i mean the shape

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

It asks how much did she make in total, so you would need to add the 2 together to get the total. Hope this helps!!

Answer:

6.71

Step-by-step explanation:

It would be 37.26*18/100.

so, around 6.71

part b would be 37.26+6.71=$43.97

Answer:

irrational

Step-by-step explanation:

Answer:

153.098

153.408

When we look at these numbers, we want to see which one has the greatest digit.

Shown below, I'm going to compare both numbers and start from the hundreds place and gradually go further into the other digits until we've seen which number is the greatest.

153.098:

1

153.408:

1

153.098:

15

153.408:

15

153.098:

153

153.408

153

153.098:

153.0

153.408

153.4

Now, we can automatically know that 153.408 is the greatest because the 4 in the tenths place is bigger than 0 in the tenths place in the other number.

So 153.408 > 153.098, D is your answer.

Answer:

44 tranquilizers

Step-by-step explanation:

The reciprocal of 7/4 is 4/7 so if you multiply 77 by 4/7 you will get 44.

Answer:

9a+b

Step-by-step explanation:

Answer:

Look at the relationship.

2.7 is 30 times larger than 0.09 (2.7 / 0.09 = 30)

So the ratio is 0.09:2.7 = 1 :30

Step-by-step explanation:

I wrote the answer on the paper