Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?

Answer: 38

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

The given equations are :

9x-3y=-6

3x-y=2.....(1)

5y=15x+10

5y-15x=10

or

y-3x=2 .....(2)

Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.

Answer:

15 + 18i

Step-by-step explanation:

(3 + 10i) - (-12 - 8i) = 3 + 10i - 12*(-1) - 8i*(-1)

                            = 3 + 10i +12 + 8i

                            = 3 + 12 + 10i + 8i  {Combine like terms}

                            = 15 + 18i

Answer:

Explanation:

Circle Area:

CA = 1²×π

CA ≈ π in²

Triangle Area:

TA = 3×4/2 = 6 in²

Probability:

P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

Answer:

A linear relation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

And if a line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's look at our lines.

The left one passes through the points (0, -3) and (-2, 0)

Then the slope of this line is:

a = (0 - (-3))/(-2 - 0) = 3/-2 = -(3/2)

Then the line will be something like:

y = -(3/2)*x + b

Knowing that this line passes through the point (0, -3), we know that when x = 0, we must have y = -3

Then:

-3 = (-3/2)*0 + b

-3 = b

So the first linear equation is:

y = -(3/2)*x - 3

Now let's look at the second line, this one passes through the points (0, 2) and (1, 0)

Then the slope of this line is:

a = (0 - 2)/(1 - 0) = -2

And we can write the line as:

y = -2*x + b

Knowing that this line passes through the point (0, 2), we know that when x = 0 we must have y = 0, replacing that we get:

2 = -2*0 + b

2 = b

Then the equation of this line is:

y = -2*x + 2

Now that we know both equations we can write our system as:

y = (-3/2)*x - 3

y = -2*x + 2

To solve it, we need to remember that y = y

then:

(-3/2)*x - 3 = y = -2*x + 2

(-3/2)*x - 3  = -2*x + 2

We can solve this for x.

2*x - (3/2)*x = 2 + 3

(1/2)*x = 5

x = 5((1/2) = 5*2 = 10

And to find the y-value, we need to input this x-value in one of the equations:

y = -2*10 + 2 = -20 + 2 = -18

Then the solution of the system is the point (10, -18)

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.

When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.

Answer:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Answer:

there is a 13 degree difference from DBC and DAC

 with that you divide 1540 by 13 as you get that 118.461 feet

that means that there is a 118.461 difference from B to C and A to B

so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate  

Answer:

Lateral Area = 13 x 13 x 4 = 676 ft²

Surface area = 13 x 13 x 6 = 1014 ft²

Volume = 13 x 13 x 13 = 2197 ft³

Answer:

hb will = 3in/ three in

Answer: the amount of money after the purchase depends on the amount of money before the purchase

Step-by-step explanation:

Answer: I think it is 4+$p

Step-by-step explanation:

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}

9514 1404 393

Answer:

Step-by-step explanation:

The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...

  35x + 20

We want that number to be at least (greater than or equal to) 1000, so the relation is ...

  35x +20 ≥ 1000

__

To solve this, we first subtract 20:

  35x ≥ 980

Now, we can divide by the coefficient of x.

  x ≥ 980/35

  x ≥ 28 . . . . .  the solution

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

Answer:

98

Step-by-step explanation:

Hello There!

The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.

This meaning that the sum of the two angles is 180

So to find the missing angle (2) we subtract the given angle (82 in this case) from 180

so ∠2 = 180 - 82

180 - 82 = 98

Hence, the answer is 98°

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

[tex]\boxed{area \: of \: square = side \times side}[/tex]

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²

Answer:

√193

Step-by-step explanation:

pathagorus theorem:

[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]

hyp=x , base= 12 , perp= 7

subtitles all values in formula:

we get

x^2 = 12^2 + 7^2

x^2 = 144 +49

x= √193

The missing side of this right triangle is, 13.90 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The base of the triangle = 12

The perpendicular distance of the triangle = 7

Now, We know that;

Pythagoras theorem stated as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ x² = 12² + 7²

⇒ x² = 144 + 49

⇒ x² = 193

⇒ x = √193

⇒ x = 13.90

Thus, The missing side of this right triangle is, 13.90 units.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

Answer:

Step-by-step explanation:

Hhff

Answer:

45 minutes

Step-by-step explanation:

97-52 = 45

Answer:

4z + 2q

Step-by-step explanation:

there is 4 "z" and 2 "q"

Answer:

4z+2q

Step-by-step explanation:

combine like terms

combine all the z’s and all the q’s

Answer: 2.92

Step-by-step explanation:

De la circunferencia del círculo, se encuentra que su radio es de 2.93m.

El circunferencia de un círculo de radio r es dada por:

[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]

En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].

[tex]C = 6.28r[/tex]

[tex]6.28r = 18.4[/tex]

[tex]r = \frac{18.4}{6.28}[/tex]

[tex]r = 2.93[/tex]

El radio es de 2.93m.

Un problema similar es dado en https://brainly.com/question/24562611

Answer:

20

Step-by-step explanation:

5x4=20

plz give me a thx! IF I HELPED :)