It takes 7 hours and 12 minutes to fly
from Singapore to Tokyo, Japan. You have
to arrive at the airport 45 minutes before
departure. It is a 17 minute taxi ride from
your hotel. By what time would you need
to leave the hotel if the flight lands
at 3:23 p.m.?

Answer:

(a) BC = 91 cm

(b) ∠C = 33.4° (nearest tenth)

(c) AD = 79.5 cm (nearest tenth)

Step-by-step explanation:

(a) Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

⇒ 60² + BC² = 109²

⇒ 3600 + BC² = 11881

⇒ BC² = 11881 - 3600

⇒ BC² = 8281

⇒ BC = √(8281)

⇒ BC = 91 cm

(b) Sine rule to find an angle:

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

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Given:

[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]

[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]

[tex]\implies \sin C=\dfrac{60}{109}[/tex]

[tex]\implies C=33.39848847...\textdegree[/tex]

[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]

(c) Sine rule to find a side length:

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

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Sum of interior angles of a triangle = 180°

Given:

[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=79.5007796...[/tex]

[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]

Answer:

6.5

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Given function:

[tex]y=\dfrac{5x}{x+6}[/tex]

[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]

[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there).    Therefore, the horizontal asymptote is [tex]y=5[/tex]

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

 center (0 , 0) is  x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

Answer:

See below ↓

Step-by-step explanation:

11)

12)

13)

There is a rule on Brainly which states you can only answer 3 questions maximum per post.

So I can only help with you this much.

Hope this helped~

Answer:

Its me Viktor Kozhanov may I  have brainliest please

I also answered all you questions so give brainliest to those

as well

Step-by-step explanation:

Answer:

well friend you answer is

Step-by-step explanation:

a+ 3/56

i hope this helped

Answer:

Step-by-step explanation:

The appropriate symbolic expression would be

a + 3²

---------

  56

Answer:

Q. Equal

Step-by-step explanation:

"The same" means equal. Its kind of like equations.

1 is equal to 1 they are the same number

answer: Equal

Step-by-step explanation: being the same in quantity, size, degree, or value.

Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.

3(.15) + 2(.3) = 5(.2)

.45 + .6 = 1

Nope

(10/3)(.15) + (5/3)(.3) = 5(.2)

.5 + .5 = 1

Answer:

the answer is C which one is this

Answer:

x=8

Step-by-step explanation:

x²+x²=(8 root2)²

2x²=128

÷2 on both sides

=x²=64

square root each side

so x=8

Apply Pythagorean theorem

Answer:

  46.7 mph

Step-by-step explanation:

The speed can be found by substituting the measured skid length for the variable in the formula.

  v = √(20L)

  v = √(20×109) = √2180 ≈ 46.7

The car was traveling at approximately 46.7 miles per hour.

Answer:

when the x input is 6 the y output is 7

Step-by-step explanation:

log 3 (10022)

= 8.38561

log n (155)= 8.38561

n^8.38561=155

log 10 (n)= log 10 (155)

lpg 10 (155)= 2.190331698

8.38561 log10 (n)=2.190331698

log10 n = 2.190331698÷8.38561

lo^-1 (0.2612012)

=1.825

n=1.825

Answer:

(-2,-3)

Step-by-step explanation:

Put the equations over each other.

[tex] \binom{x - y = 1}{ - x + 3y = - 7 } [/tex]

Subtract the x values.

[tex] \binom{ - y = 1}{3y = - 7} [/tex]

Subtract on both sides.

[tex]2y = - 6[/tex]

Divide on both sides.

[tex]y = - 3[/tex]

Insert the y value into one of the equations.

[tex]x - ( - 3) = 1[/tex]

Get rid of the parenthesis.

[tex]x + 3 = 1[/tex]

Subtract on both sides.

[tex]x = - 2[/tex]

You could also individually plug in each solution into both equations to see if they are true.

Hello!

Circumference of a Circle

C=πd

or

C=2πr

Plug in the values

C=14π

C≈44 cm

C=2π×3.5

C≈22 cm

Hope everything is clear.

Let me know if you have any questions!
#KeepLearning

;-)

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

Answer:

7.B

9.A

Step-by-step explanation:

Gcf of 24 and 36

is 12

a^2 and a is a

180-50

=130

acute mean less than 90 degrees

180-89=41

89 and 41 are acute

1 is also wrong

Answer:

  7.  B 2·2·3·a

  9.  B 41°

Step-by-step explanation:

You want the greatest common factor of 24a² and 36ab, and you want the smallest integer-valued angle in an acute triangle with one angle 50 degrees.

The factors of 24a² are 2·2·2·3·a·a.

The factors of 36ab are 2·2·3·3·a·b.

The factors these lists have in common are 2·2·3·a, matching choice B.

If one angle of a triangle is 50°, the sum of the other two angles must be ...

  180° -50° = 130° . . . . . . sum of angles B and C

One of these angles will be the smallest it can be only if the other is the largest it can be. The largest integer acute angle is 89°, so the smaller angle will be ...

  130° -89° = 41°

The smallest possible angle in the acute triangle is 41°.

__

Additional comment

8. A dodecagon has 12 lines of symmetry, 6 through opposite vertices, and 6 through opposite sides. The correct choice for 8 is A.

<95141404393>

Answer:

the area for

a=16pi or 50.26548...

b=64pi or 201.061329...

c= 169pi or 530.929158...

d=100pi or 314.159265

d is 19.7392088... or 6.25pi times greater than a

Step-by-step explanation:

the decimal values are more accurate for the d is greater than circle a

so you start with a=4 in radius then b=a+4, c=b+5, d=c-3

then solve the equation a=4, b=8, c=13, d=10

then you solve for the area using the formula radius squared pi

getting the answers above

as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a

The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint

Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.

2905 / 1400 = 2.075 tubes of paint

To learn more about division, please check: https://brainly.com/question/194007

Answer:

you really go to the cca

Step-by-step explanation:

you really go to the cca

Answer:

dot A is 0.62 dot B is 7/9 and dot C is 10/9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or [tex]g = \frac{m-3}{2}[/tex]

The answer that gives us this, is C.

Answer:

63

Step-by-step explanation:

This is a cyclic quadrilateral, meaning that its opposite angles are supplementary. So, x=180-117=63.

Answer:

2010

Step-by-step explanation:

volume of a cube= hxlxw

5x5x5=125

V=πr2h

π10^2x6=1884.9=1885

1885+125=2010

Answer:

As Per Provided Information

A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .

Total Number of these cases are 6 .

We have been asked to determine the volume of these cases .

[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]

Let's substitute the given value and we obtain

[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]

Therefore,

Step-by-step explanation:

Given:-

To Find:-

Solution:-

Volume of 1 box :- base area × height

37.5 cm² × 1.5 cm

56.25 cm³

So , volume of 6 such cases :- 56.25 × 6

= 337.5 cm³

Answer:

Step-by-step explanation:

[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]

Answer:

mean: 318.266

median: 372

mode: 19

range: 756

Step-by-step explanation:

to find the mean or the average, add all the numbers up and divide them by how many there are. example: 5 + 5 + 5 = 15 ÷ 3 = 4

to find the mode, all you have to do is find the number that is most common, there can be multiple modes

for the range, you subtract the smallest number from the largest

finally, to get the median, you put all the numbers in order from smallest to biggest and make your way to the number in the middle, if there are two numbers in the middle, add them up and divide them by two

Answer:

Mean: 298.87
Mode: 19
Median: 372
Range: 756

Step-by-step explanation:

Mean is the sum of terms over the total number of terms.
(19+19+27+93+121+203+372+389+405+453+493+549+565+775)/15 = 298.87
Mode is the most repeated term or value in the set.
(19,19,27,93,121,203,372,389,405,453,493,549,565,775) the only value repeated is 19
Median is the middle of the data set.
With 15 values the middle is 372
Range is the extent of all values between smallest and largest values
Largest values is 775, and the smallest is 19. 775-19 = 756

Find y intercept

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]

[tex]\\ \rm\rightarrowtail y=1.184[/tex]

Option A

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18    (rectangle 8X3)

4x2=8     (rectangle 4x2)

half of 12 =6       (rectangle  4x3)

   18+8+6 =32

Answer:

5, -⅓

Step-by-step explanation:

x = 2:

4x + 3y = 23

3y = 23 - 4(2)

3y = 15

y = 5

x = 6:

4x + 3y = 23

3y = 23 - 4(6)

3y = -1

y = -⅓

Answer:

152 hundred

Step-by-step explanation:

164 hundred - 12 hundred = 152 hundred

Please rate!

Answer:

1.52

Hope this helps :)

Step-by-step explanation:

step one:

put them as decimals which would be 1.64 and 0.12

step two:

subtract which would be 1.64 - 0.12

step three:

solve your answer would be 1.52 or 152 hundredths