Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary
Answer: 5.09 units
Step-by-step explanation:
Given
Coordinates of Old oak tree are (3,7)
Coordinates of granite boulder are (-2,6)
Distance between them is given by distance formula i.e.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between them is
[tex]\Rightarrow d=\sqrt{(-2-3)^2+(6-7)^2}\\\Rightarrow d=\sqrt{(-5)^2+(-1)^2}\\\Rightarrow d=\sqrt{25+1}=\sqrt{26}\approx 5.09\ \text{units}[/tex]
The mass of Jupiter is 1.8987x10/\27 kilograms and is roughly 317.8 times the mass of Earth. The mass of the solar system is about 1.992x10/\30 kilograms. The Sun accounts for about 99.8% of this mass.
a. Find the mass of Earth in kilograms
b. What is the approximate mass of all of the other objects in the solar system, not counting the sun?
c. what percentage of the mass obtained in part b is represented by jupiter?
plsssssssssssssssss help!!!!
Answer:
i dont really get the question
Can someone explain how to do this?
9514 1404 393
Answer:
9 and 10
Step-by-step explanation:
Make use of your knowledge of multiplication tables.
9² = 81
(√89)² = 89
10² = 100
√89 lies between 9 and 10
what is the greatest common factor of 27 , 18 , and 63 ?
Answer:
9
Step-by-step explanation:
18/2 = 9
27/3 =9
63 = 9
I don't know how to explain this more
What is the value of k in the function f(x) =112 - kx if f(-3) = 121?
Given:
The given function is
[tex]f(x)=112-kx[/tex]
[tex]f(-3)=121[/tex]
To find:
The value of k.
Solution:
We have,
[tex]f(x)=112-kx[/tex]
Putting x=-3, we get
[tex]f(-3)=112-k(-3)[/tex]
[tex]121=112+3k[/tex] [tex][\because f(-3)=121][/tex]
Subtract both sides by 112.
[tex]121-112=3k[/tex]
[tex]9=3k[/tex]
Divide both sides by 3.
[tex]\dfrac{9}{3}=k[/tex]
[tex]3=k[/tex]
Therefore, the value of k is 3.
HELP I WILL MARK BRAINLIST
Tell me what's better 38 packs of water for $14.60 or 63 packs of water for 24.90
Answer:
I think 63 packs
Step-by-step explanation:
But not sure so tell me if I'm right
8.7w-3=5.5w+3.4
Please solve
Answer:
w=2
Step-by-step explanation:
8.7w-3=5.5w+3.4
-5.5w -5.5w
3.2w-3= 3.4
+3 3
3.2w= 6.4
w=2
How do you graph (0,4) need help thank you!
Answer:
Just move 4 spaces up
Step-by-step explanation:
Answer:
left 0 up 4
Step-by-step explanation:
Gabriella went shopping for a new pair of pants because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
Step-by-step explanation:
Just multiply by 0,3
For EXAMPLE
30% of 100 would be 30
100 x 0,3 = 30
make (4, 10) and (3, 5) eqaution
Answer:
y=5x-10
Step-by-step explanation:
To find the slope
rise/run
10-5=5
4-3=1
The slope is 5
Y-intercept
y=5x+b
Use any coordinate for y and x and solve
10=5(4) +b
10=20+b
-10=b
-10 id the y-intercept
Please help me......
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]A=6*\frac{1}{4} ^2\\\\A=6*\frac{1}{16} \\\\A=\frac{6}{16} \\\\A=\frac{3}{8}[/tex]
Answer:
[tex]A = \frac{3}{8}ft^2[/tex]
Step-by-step explanation:
Using the given formula, [tex]A=6s^2[/tex], and the given value for the side length of the cube, [tex]\frac{1}{4}[/tex] foot, substitute the given value into the equation and solve.
[tex]A=6(\frac{1}{4})^2[/tex]
Remember, setting any value to the second power is the same as multiplying the base (the value that is being squared) by itself. Apply this information to the given problem,
[tex]A = 6(\frac{1}{4}*\frac{1}{4})\\\\A = 6(\frac{1}{16})\\\\A = \frac{6}{16}\\\\A = \frac{3}{8}[/tex]
Your dinner bill was $33.00. If you leave a 20 % tip, how much will the tip be?
Answer:
Your tip would be $6.60
Step-by-step explanation:
Answer:
$39.60 i think :))
Step-by-step explanation:
I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)
Factor the following trinomial
x2 + 8x – 9
Answer with step-by-step solution:
x^2+8x-9
x^2+9x-x-9
x(x+9)-(x+9)
(x+9)(x-1)
What is the slope-intercept formula for a line with a rise of 3, a run of 1 and a y-Intercept of 5?
Answer:
y=3x+5
Step-by-step explanation:
y=mx+b
intercept is 5, postive and represents b
Slope is 3 and represents m
ABC is dilated by a factor of 3 to produce A'B'C'.
Answer:
Im Pretty Sure The Answer is B! :) hope this helps
Step-by-step explanation:
Lori is running in a marathon, which is 26.2 miles long. So far she has run one-tenth of the marathon. How far has Lori run?
Answer:
2.62
Step-by-step explanation:
Samuel read 8 books in 10 months. What was his rate of reading in books per month?
Answer:
Answer 1.25
Step-by-step explanation:
Tolal moths he take to read 8 book = 10
Therefore, Total month he will take to read 1 book =10/8=1.25
10e + 3 < 92
Please reply quickly and explain. I'm having trouble understanding.
Answer:
10E+3 <92
10(e:6) or any number
10(6)=60+3=63 <92
Step-by-step explanation:
Answer:
10e + 3 < 92
Step-by-step explanation:
Any number times ten plus three is less than 92. Like e = 3, which would be 10(3)+3, or 33. Any number that would make the statement true can be used in the place of e.
Linda had 7/12 bag of dog food, at home. If she went to the store and bought 3 times that, how much did she buy?
EXPLAIN HOW U GOT
Answer:
1 3/4 bags
Step-by-step explanation:
7/12 x 3/1 = 7/4 = 1 3/4
Hope that helps!
Answer:
7/12 times 3 is 1.75 aka 1 3/4 or 7/4
Step-by-step explanation:
Which image shows a reflection ABC
Answer:
A I think
Step-by-step explanation
Answer:
A
Step-by-step explanation:
I am not sure but I think it's A
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
You're slope will be on the y-axis
Answer:
I do believe the answer is either -3/1 or -1/3
MathWiz wya boo??.......
Answer:
i dont see angle S
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
3x + 12 + 5x + 8=180
8x + 20= 180
8x= 160
x= 20
Angle S:
5x + 8
5(20) + 8
100 + 8
108
30 children each sold 20 item for the fund vaised. each child each earned $100 for the school. How much money did the school collect.
please show working
Answer:
$3,000
Step-by-step explanation:
30 children each earned $100
so
[tex]30 *100 = 3000[/tex]
so the school collected $3,000
Kate and kelvin played a shooting game. Kevin got 52 points which was 54 points less than 2 times that of kates points. How many points did Kate get?
Answer: 53 points
Step-by-step explanation:
Let the number of points gotten by Kate be represented by x.
Since we are given the information that Kevin got 52 points which was 54 points less than 2 times that of kates points. This can be formed into an equation as:
(2 × x) - 54 = 52
2x - 54 = 52
2x = 52 + 54
2x = 106
x = 106/2
x = 53
Kate got 53 points
7) Which number line shows the solution to inequality –4k + 5 > 21 ? *
Answer:
Can't see C or D however the image below shows the right one
Step-by-step explanation:
If a linear system has no solution, what happens when you try to solve the system by adding or subtracting?
it took 4 hours to drive 240 mile. At this rate, how long does it take to drive 90 miles
Answer:
1 hour and 30 minutes
Step-by-step explanation:
4 hours = 240 miles
1 hour = 240 ÷ 4 = 60 miles
90 ÷ 60 = 1.5 hours =
1 hour and 30 minutes
The committee is planning to have frozen fruit bars for desert. If frozen fruit bars come in boxes of 12, how many boxes of frozen fruit bars should they order?
Answer:
Kindly check explanation
Step-by-step explanation:
Based on the infomation given :
Number of frozen fruit per box = 12
The number of people the makes up the committee should be given on other to obtain an exact answer.
To obtain the number of boxes of frozen fruits :
We divide the Number of committee members by the number of frozen fruits per box ; that is
1f number of committee members = x
Number of frozen fruits per box = 12
Number of boxes to order = x / 12
If number of committee members is given, substitute the number for X
multiple choice ! pls help