Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?

Step-by-step explanation:

simply use trigonometric formula

sin (x)= perpendicular/ hypotenuse

Answer:

9a+b

Step-by-step explanation:

Step-by-step explanation:

I wrote the answer on the paper

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:

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:

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:

1200times 3 =4800 thanks for asking

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:

x = 90

Step-by-step explanation:

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

9x = 810 ( divide both sides by 9 )

x = 90

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:

I think its A

Step-by-step explanation:

x=√13 I think it is that one makes sense

Answer:

A.)

Step-by-step explanation:

First you need to take the square root from both sides to isolate x. Since you cannot find an exact decimal answer for the square root of 13 you leave it as + or - [tex]\sqrt{13\\}[/tex].

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

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:

$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:

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.

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

Because {{{no}}} sides are marked as {{{congruent}}} in this figure, the classification {{{by}}}{{{ sides}}} is {{{scalene}}}.

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:

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.

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:

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.

Answer:

A

Step-by-step explanation:

the chart shows a line that going up vastly by large margins.

Answer:

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

Step-by-step explanation:

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:

false

Step-by-step explanation:

Dilations increase the measure of angles. Dilations of a triangle are similar to the original triangle.