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
artcher [175]
3 years ago
6

Two ants start at the origin of the rectangular grid shown above where each unit represents an inch. They roam around in differe

nt directions for exactly 30 seconds. Ant A ends at point (-3,5) while Ant B ends at points (4,-2). How far apart are the two ants at the end of 30 seconds?
Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
To help clarify the problem, we can plot the two ants on a graph (see attached image). However, we don't need the graph to solve the problem.

Let's first find the distance in their 'x' values:
= |-3| + |4|
The '| |' means that we don't care if it is negative, we just want the positive value.
= |-3| + |4| is the same thing as = 3 + 4
= 7

Now let's find the distance in their 'y' values:
= |5| + |-2|
= 7

From here, since we have the 'x' and 'y' distances, we can create a triangle. The 'x' and 'y' will be our side lengths, and the hypotenuse is then the distance between the two ants. 

In order to find the hypotenuse, we use the Pythagorean theorm: c^{2}=a^{2}+b^{2}

Now we plug and solve:
c^{2}=(7)^{2} + (7)^{2}
c^{2}=98
c= \sqrt{98}

∴The distance between the two ants is \sqrt{98} or 9.899

Hope this helps!


You might be interested in
Identify the explicit function for the sequence in the table
nignag [31]
The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.

The explicit formula for the terms of an arithmetic sequence is
  an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
  B. a(n) = 7+(n-1)·12
6 0
3 years ago
The schematic of a rectangular patio is drawn 1/4 inch to 1 feet. if the patio is 18 feet long, what is the measure of the patio
Aleksandr-060686 [28]
Try 4.5 inches. You take 18, divide it by four you get 4.5. I divided by 4 because of the 1/4 inch by 1 foot. Minus 2 from 18, you get the next closest dividend of 4 and that's 16. 16 divided by 4 is 4. 2 are left over to make .5. you get 4.5
6 0
3 years ago
21) Rearrange the formula c2 = a2 + b2 for b.
Anvisha [2.4K]
C2 + a2 +2 = b
Would be the new formula
8 0
3 years ago
Sam has a collection of stamps. For every 18 dinosaur stamps, he has 12 airplane stamps. Sam wrote a ratio for dinosaur stamps t
const2013 [10]

Answer:

Given the ratio for dinosaur stamps to airplane stamp, the correct ratio is 18 : 12

Step-by-step explanation:

Dinosaur stamps = 18

Airplane stamps = 12

John wrote:

ratio of dinosaur stamps to airplane stamps = 12 to 18

Correct ratio:

ratio of dinosaur stamps to airplane stamps = 18 : 12

= 18/12

6 0
3 years ago
The value of a baseball card can be represented by the equation Y - 3x439, where x represents the number of years
kobusy [5.1K]

Answer:

1047 cards

Step-by-step explanation:

3x349=1047 3x300=900 3x40=120 3x9=27 900+120+27=1047

6 0
3 years ago
Read 2 more answers
Other questions:
  • Divide 102 by 300 to get .34 and multiply it by 100% to get 34%
    10·1 answer
  • All of question 2 and 3
    7·1 answer
  • How do i solve using distributive property ? <br><br> 10 (9-m)
    11·1 answer
  • -5[4-(-3)(2)] how to solve this
    6·2 answers
  • Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
    12·1 answer
  • I’ll mark brainlest! i need help on other questions too! thankkk you
    6·1 answer
  • A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.
    13·1 answer
  • Use the formula y = Kx to find K when:<br> a. x = 3, y = 21 , K =<br> b. x = 4, y = 24, K =
    9·1 answer
  • This quadrant has the signs (-, -) of
    8·1 answer
  • Find the volume and the surface area of the shape
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!