2. Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (1, 10) and the granite boulder is at position (-5, 9). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary

Answers

Answer 1

Answer: The old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.

Step-by-step explanation:

The distance between points (a,b) and (c,d) is given by :-

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Given: The position of oak tree = (1, 10)

The position of granite boulder = (-5,9)

The distance between oak tree and granite boulder  = [tex]\sqrt{(10-9)^2+(1-(-5))^2}[/tex]

[tex]=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}[/tex]

Hence, the old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.


Related Questions

I need help please
I need this for homework and I need help please

Answers

Answer:

I think it A I know it try a

Answer:

A is the most possible answer. None of the rest are.

Step-by-step explanation:

A semicircle with diameter 3.5m. Find the perimeter if the semicircle. Take pi = 3.14

Answers

Step-by-step explanation:

perimeter is (pi×diameter)/2

perimeter =(3.14×3.5)/2

perimeter =5.49m

Liz has added 20% of the total amount of acid that she needs
in the beaker for her experiment. She has put in 10 ml so far.
How much more does she need to add? Plz help

Answers

40mL
20%= 1/5
10*5=50
Since 10 is 1/5 of 50 and the question is how much more, subtract it from 50 and you get 40.


Sorry if it’s hard to understand. I did it in my head and it’s hard to explain when you know how to do it lol.


Bree took a math test and scored 152 points which was 95% of the total possible points
on the test. What was the total number of possible points.

Answers

160 is the total possible points because 152 is 95% of 160
152 divided by 95 = 1.6 and 1.6 x 100 =160

aresh and Archie collect a total of 72 comic books. At first, the ratio of Paresh’s comic books to Archie’s comic books is 5 : 3. Then Paresh gives 6 of his comic books to Archie. Decide if each statement about the comic books is true or false.
what is the answer

Answers

Answer:

false

Step-by-step explanation:

because paresh gave away 6 to archie so ariche got more and paresh got few

you make 12 equal payments. You pay a total of $1896 how much is each payment

Answers

Answer:

$158 per payment

Step-by-step explanation:

$1896 divided by 12

=158

determine whether (7,8) is a solution of 7x+9y=11​

Answers

Answer:

(7, 8) is NOT a solution to the equation

Step-by-step explanation:

x = 7 and y = 8 so fill those into the equation

7(7) + 9(8) = 11

49 + 72 = 11

121 = 11

this makes the equation NOT true

So no, (7, 8) is NOT a solution to the equation

the sides of a triangle measure 6 inches 8 inches and 1o inches the triangle one 90 degree angle what type of triangle is it

Answers

Answer:

a right triangle

Step-by-step explanation:

as long a a triangle has one angle of 90 degrees, then it is a right triangle. An acute triangle has to have an angle less than 90 degrees, and an obtuse angle has to have an angle greater than 90 degrees.

graph the line whose y-intercept is -7 and whose x-intercept is 1

Answers

Answer:

[tex]y=7x -7[/tex]

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where [tex]x_{2}[/tex] and [tex]x_{1}[/tex] are the x - coordinates of both points and [tex]y_{2}[/tex] and [tex]x_{1}[/tex] are the y - coordinates of both points.

[tex]m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7[/tex]

We now have the missing piece, the slope, so the equation now is:

[tex]y=7x -7[/tex]

please help me :/ i dont understand

Answers

If a triangle adds up to 180 degrees add up those two sides and then subtract that total from 180

If x = 5 units, y = 6 units, and h = 6 units, find the area of the trapezoid shown above using decomposition. A. 102 square units B. 30 square units C. 66 square units D. 48 square units

Answers

Answer:

C. 66 square units

Step-by-step explanation:

The area of the middle rectangle would by base × height, or y × h, or 6 × 6.

The area is 36.

The area for one triangle would 1/2 × base × height.

(But since there are two triangles to solve for, the 1/2 is not necessary, and we can just do base × height again.)

So, it would be x × h, or 5 × 6.

The area is 30.

Combine both areas to get the whole area of 66 units²

HELP!!!!!I dont understand the question

Answers

Answer:

It would be Kite A

Step-by-step explanation:

Multiply the height by the base

30 x 30 = 900 inches of paper

40 x 20 = 800 inches of paper

Answer:

Same amount

Step-by-step explanation:

kite b=20+ 40=60

kite a=30+30=60

Same amount

I got the answer 0.007853982 inches sq, but it says it’s not correct, what am I doing wrong?

Answers

Answer:

Area of pupil = 0.007855 square inch.

Step-by-step explanation:

Given the following data;

Diameter = 0.1 inch

To find the area of the pupil (circle);

Area of circle = π(D/2)²

Area of pupil = 3.142*(0.1/2)²

Area of pupil = 3.142*(0.05)²

Area of pupil = 3.142*0.0025

Area of pupil = 0.007855 square inch.

How many cm are in 3.05 miles?
(1 inch (in) = 2.54 centimeters (cm) and 1 mile (mi) = 63.360 inches (in)​

Answers

Answer:

490849.9

Step-by-step explanation:

Answer:

490849.92 centimeters

graph this on a coordinate plane f(x)=2x^2-1

Answers

Answer:

Step-by-step explanation:

6) On Cupcake Wars, the bakers must fill 1000 cupcake cones in the final challenge!
If the cupcakes are cone shaped and have a radius of 3 cm and a height of 6 cm, how
many cubic centimeters are need to fill 1000 cupcakes?

Answers

Answer:

Don't know the answer to bad for u hahahahahah

Step-by-step explanation: get better

Today, everything at a store is on sale. The store offers a 20% discount.

If the regular price of an item is x dollars, what is the discount price in dollars?

0.8x or x-0.2x
0.9x
0.7x
0.6​

Answers

Answer:

0.8x or 0.2x

Step-by-step explanation:

20% of x = 20/100 × x = 0.2x

So discount price = x - 0.2x = 0.8x

Answer:

A =greatest amount

Step-by-step explanation:

Which equation is a true proportion?

Answers

Answer:

you need to put a picture or type the equations of the proportion cause nobody will know what you mean

Step-by-step explanation:

which equation is a true proportion

what are the equations?

What are the equations
Lmk if this helped
Give me the equation and I’ll help!!!

Drag the tiles to the correct boxes to complete the pairs.
Match each data set with the shape of its graphical form.
uniform
skewed to the right
skewed to the left
symmetrical
Data set A: 2, 2, 2, 1, 3, 4, 5
arrowRight
Data set B: 1, 4, 2, 3, 4, 5, 6, 4, 7
arrowRight
Data set C: 3, 4, 2, 3, 1, 2, 4, 1
arrowRight
Data set D: 2, 4, 5, 1, 5, 3, 6, 5
arrowRight

Answers

Answer:

skewed to the left is C

Step-by-step explanation:

thats all i know hope i helped?

Help me outtttt !!!!!!!

Answers

The answer is hypotenuse

Solve this please (I don’t need step by stem explanation) I WILL mark brainlist

Answers

the answer it 560ft^3

helppppppppppppppppp​

Answers

Answer:

i dont get it

Step-by-step explanation:

The coach of a softball team has 8 good hitters and 9 poor hitters. He chooses 5 hitters at random.In how many ways can he choose 4 good hitters and 1 poor hitter?

Answers

Answer:

He can choose 4 good hitters and 1 poor hitter in 630 different ways.

Step-by-step explanation:

The order in which the hitters are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In how many ways can he choose 4 good hitters and 1 poor hitter?

4 good hitters from a set of 8.

1 poor hitter from a set of 9. So

[tex]T = C_{8,4}*C_{9,1} = \frac{8!}{4!(8-4)!}*9 = 630[/tex]

He can choose 4 good hitters and 1 poor hitter in 630 different ways.

8. A rectangular prism has a volume of 468 cubic meters. It has a length of 12 meters and a width of 6 meters. What is the height of the prism? ​

Answers

Jdjrhfhfhfhfhfjfhfhfjfjfjfjfjfjfjfjfnghg

Pelease help me thank you for your time

Answers

Answer:

C, B, D, A

Step-by-step explanation:

A = 40

B = 30

C = 24

D = 36

The circle below is centered at the point (8, 4) and has a radius of length 4. What is its equation?

Answers

Answer:

(x-8)^2 + (y-4)^2 = 16

Step-by-step explanation:

Standard equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = r^2

(a, b) is the centre

r is the radius

Given

Centre (8, 4)

r =  4

Substitute

(x-8)^2 + (y-4)^2 = 4^2

(x-8)^2 + (y-4)^2 = 16

This gives the required equation

Answer:

(x-8)^2 + (y-4)^2 = 16

Step-by-step explanation:

other guy is correct i just took the quiz

Combine like terms to simplify; (5x + 2) + (4x + 5). 1 point 9x - 7 9x + 7 -9x - 11 X + 7

Answers

(5x + 2) + (4x + 5)

= 5x + 2 + 4x + 5

= 5x + 4x + 5 + 2

= 9x + 7

Daniel had 5 gifts and he needs 9 gifts how much does he need to get to 5 to 9 this includes multiplication? XD

Answers

Answer:

4 and this does not required multiplication.

Find all the factors of 50.

Answers

Answer:The factors of 50 are 1, 2, 5,10, 25, and 50.

Step-by-step explanation:The factors of 50 are 1, 2, 5,10, 25, and 50.

Answer:

The factors of 50 are

Step-by-step explanation:

1, 2, 5, 10, 25, and 50

Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph? (2 points)

Answers

The - sign in front of the three. A regular graph of x^3 darts at the bottom left, but the - sign flips the graph, so instead it starts at the top left
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