1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harkovskaia [24]
3 years ago
13

with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J

udy, the distance between them is 2 miles more than Judy’s distance from the intersection. How far is Jackie from the intersection?
Mathematics
1 answer:
miskamm [114]3 years ago
4 0
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
⇒
x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
You might be interested in
Find the cosine ratio of angle Θ. Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no
Zigmanuir [339]

Answer:

Cosθ = 3/5

Step-by-step explanation:

Given:

In ∆ ABC.

AB measures = 4

BC measures = 5

CA measures = 3

The angle formed at point C is marked theta

angle A is the right angle

Find attached the diagram from the given information.

We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry

Sine ratio: Sinθ = opposite /hypotenuse

Cosine ratio: Cosθ = adjacent/hypotenuse

Tangent ratio: Tanθ = opposite/adjacent

From the diagram,

adjacent = AC

hypotenuse = BC

Using the above formula,

Cosθ = adjacent/hypotenuse = AC/BC

Cosθ = 3/5

4 0
3 years ago
Find the exact surface area of the following. The exact surface area is
Nataliya [291]

Answer:

Surface area: 4323pi

Fill the box with the value "4323", as there is a "pi" after the box.

Step-by-step explanation:

We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).

The surface area of the cone, without the base, is:

S1 = pi * r * s

Where s is the slant height.

To find s, we can use the Pythagoras' theorem with the radius and the height:

s^2 = h^2 + r^2

s^2 = 56^2 + 33^2 = 4225

s = 65

So the surface area is:

S1 = pi * 33 * 65 = 2145pi

Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:

S2 = (1/2) * 4 * pi * r^2

S2 = 2 * pi * 33^2 = 2178pi

Finally to find the total surface area we just need to sum both surface areas:

S = S1 + S2 = 2145pi + 2178pi = 4323pi.

As after the box to answer there is a pi, we just need to fill the box with the value "4323"

7 0
3 years ago
Someone help plz make sure it’s right will mark brainiest if it is :)
garik1379 [7]

Answer:

23

Step-by-step explanation:

5 0
3 years ago
Which equation is satisfied by all of the plotted points?
Brums [2.3K]
The equation that is satisfied by all of the plotted points would be F. 3x because the y-intercept is at 0 so there wouldn't be one and the graph has a ratio of 3/1 so for every 3 numbers the line moves up it moves 1 space to the right, also indicating that it is positive.
3 0
3 years ago
Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the property was P, whic
laiz [17]

Answer:

The expression can be given as : x+2.75x

Step-by-step explanation:

Though any options are not given, but the question is complete so we can solve this by assuming the initial price of the property to be = x

Given, that the price is increased by 275%, this means x+x(275%)

275% can be written as : \frac{275}{100}=2.75

So, the expression can be given as : x+2.75x

8 0
3 years ago
Read 2 more answers
Other questions:
  • An equation in two variables is shown below.
    5·1 answer
  • Explicit formula of 400, 100, 25, 25/4 and use it to find the 15th term
    13·1 answer
  • A smalltown family has two children, of whom at least one is a boy. what is the chance that both children are boys
    13·1 answer
  • What is the value of a 3 - b 2 for a = 3 and b = 1/2?
    12·1 answer
  • What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15
    6·1 answer
  • Original selling price is 5,000 first markdown is 20% second markdown is 10% markup 12% final markdown 5% what is final selling
    8·1 answer
  • Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?
    7·1 answer
  • SOMEONE HELP ME PLEASE
    10·1 answer
  • JAVA
    14·1 answer
  • What is the slope of a line graphed below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!