Johnny left home and drove west 6 miles to Bakersville for flowers. Then he drove 8 miles north to his girlfriend's house. How far apart are Johnny's girlfriend’s house and Johnny's house?

Answers

Answer 1

Answer: so use pythagorean theorem to find the straight distance between hhouses

legs are 6 and 8

a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
squrer root both sides
10=c

the distance=10 miles

Related Questions

Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. the total weight of the two fish was 132 pounds. How much did each fish weight.
Draw a shape that has 4 sides in all and 2 right angles and 1 pair of Parallel sides
Which sentence explains the correct first step in the solution of this equation? 4 • (x – 3) = 9
What is the least number that has 4 odd factors that are all the same
A river flows at the rate of 8 miles per hour what is the rate in minutes per mile

The speed of light is about 3x10^8 m/s what is the speed of light in kilometers per hour

Answers

$3*10^8 (m)/(s) \n\n 1m\to 10^(-3)km \n\n 1s\to 36*10^(-4) h \n\n\n 3*10^8* (10^(-3)km)/(36*10^(-4)s)= 10^8 * (10^(-3)*10^4km)/(12s)= \n\n =10^8* (10m)/(12s)= \n\n =10^8* 83*10^(-2) (m)/(s)=\n\n= \boxed{83*10^6 (m)/(s)}$

$3\cdot10^8 \ \frac{\big{m}}{\big{s}} =3\cdot10^5\cdot \frac{\big{10^3\ m\cdot 3600}}{\big{3600\ s}} =3\cdot10^5\cdot \frac{\big{3600\ km}}{\big{1\ hr}} =108\cdot10^7\ \frac{\big{km}}{\big{hr}}=\n\n=1.08\cdot10^9\ \frac{\big{km}}{\big{hr}}$

A chicken casserole recipe serves 12people and calls for 3 cups of
spinach. If you want to adjust the
recipe to serve 18 people, how many
cups of spinach should you use?

Answers

Answer:

4.5 cups of spinach

Step-by-step explanation:

we know that

The recipe serves 12 people and calls for 3 cups of spinach

using proportion

Find out how many cups of spinach should you use, to serve 18 people

$(12)/(3)\ (people)/(cups) =(18)/(x)\ (people)/(cups)\n\nx=18(3)/12\n\nx=4.5\ cups$

Midpoint Formula:Find the coordinates of the midpoint of the segment joining the given
1. (0, 2) and (6,4)

Answers

The coordinates of the midpoint of the segment joining the two points (0, 2) and (6, 4) is (3, 3)

Solution:

Given that two points are (0, 2) and (6, 4)

To find: coordinates of the midpoint of the segment joining the two points

The midpoint of line joining two points is given as:

For a line containing two points $(x_1, y_1)$ and $(x_2, y_2)$

$\text {Midpoint}(x, y)=\left((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)$

In the given sum, two points are (0, 2) and (6, 4)

$x_(1)=0 ; y_(1)=2 ; x_(2)=6 ; y_(2)=4$

Substituting the values in given formula,

$\begin{array}{l}{\text {Midpoint}(x, y)=\left((0+6)/(2), (2+4)/(2)\right)} \n\n {\text {Midpoint }(x, y)=\left((6)/(2), (6)/(2)\right)=(3,3)}\end{array}$

Thus the required midpoint is (3, 3)

What are these fractions in simplest form? ( when I do a / it means a "fraction bar" or " over" like 16/30 or 16 over 30, just incase any of you get confused) but if you could help me simplify these that would be great!!

16y3/20y4 (that's a y to the third power for sixteen and a y to the fourth power for twenty)

6xy/16y

Abc/10abc

Mn2/pm5n (that's an n to the second power for nm and a m to the fifth power on pmn)

12h3k/16h2k2 ( that's a h to the third power for 12hk and a h to the second power and k to the second power for 16hk

8x/10y

24n2/28n ( that's a n to the second power)

30hxy/54kxy

5jh/15jh3 (that's a h to the third power for 15jh)

20s2t3/16st5 ( that's a a to the second power and t to the third power for 20st and t to the fifth power for 16st)

Answers

$(16y^(3))/(20y^(4)) = (4)/(5y)$
$(6xy)/(16y) = (3x)/(8)$
$(abc)/(10abc) = (1)/(10)$
$(mn^(2))/(pm^(5)n) = (n)/(pm^(4))$
$(12h^(3)k)/(16h^(2)k^(2)) = (3h)/(4k)$
$(8x)/(10y) = (4x)/(5y)$
$(24n^(2))/(28n) = (6n)/(7)$
$(30hxy)/(54kxy) = (5h)/(9k)$
$(5jh)/(15jh^(3)) = (1)/(3h^(2))$
$(20s^(2)t^(3))/(16st^(5)) = (5s)/(4t^(2))$

What is 1 and 3/4-7/10

Answers

$1 (3)/(4) - (7)/(10)$
We first have to change the mixed number into a fraction and we do this by multiplying the denominator to the whole number and adding the product to the numerator.
It looks something like this:
$1 (3)/(4)$
4×1=4 (Multiply the denominator and the whole number)
4+3=7 (Add the product and the numerator)
$(7)/(4)$
Keep the same denominator
Now that we have the improper fraction, we can subtract.
$(7)/(4) - (7)/(10)$
Now in order to subtract we have to have a common denominator, so lets make both of the denominators 20.
$(7)/(4)$ × $(5)/(5)$ = $(35)/(20)$
$(7)/(10)$ × $(2)/(2)$ = $(14)/(20)$
$(35)/(20) - (14)/(20) = (21)/(20)$
21÷20=1.05 or $1 (1)/(20)$
If you have any questions, feel free to ask. Hope that helped :)

first turn 1 3/4 into an improper fraction

1x3=3+4=7
7/4-7/10

now make a common denominator

the common denominator is 20 so do 4x5=20 and 10x2=20

do the same to the numerators 7x5=35 and 7x2=14

35/20-14/20

the answer as an improper fraction is 21/20 and as a mixed number it is 1 1/20

Henry can build 2 birdhouses in 30 minutes. How many birdhouses can he build in four hours? A)
4 birdhouses

B)
8 birdhouses

C)
12 birdhouses

D)
16 birdhouses

Answers

4 hours is 8 half hours
8*2 is 16 so the answer is d

Hope this helps :)

Ok So, He's making 2 birdhouses in 30 minutes, A Hour is 60 Minutes. So that equals 4 birdhouses a hour, So you would just simply think "Ok, So 4,8,12,16 Ok so the Answer is 16." The the answer is D i hoped this helped.

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