Answer:
its 11.
hope it helps!!
Answer:
1stone is 8
2nd one is 15
3rd one is 6
4th one is 48.5
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
WILL MARK AS BRAINLIEST PLEASE HELP!!!
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Answer:
(-13/2,-3)
Step-by-step explanation:
First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).
If this has helped you, please mark the is brainliest
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
Help pls! (4c+4)(2c-3)
Answer:
8c2 - 4c - 12
Step-by-step explanation:
Answer:
8c^2-4c-12
Step-by-step explanation
So you have to multiply 4c into 2c and -3 first and then 4 into 2c and -3.
(4c+4)(2c-3)
4c X 2c is 8c^2
(4c+4)(2c-3)
4c X -3 is -12c
So for the 4c multiplying in you would get 8c^2 and -12c, but we still have to multiply in the 4
4 X 2c is 8c
(4c+4)(2c-3)
4 X -3 is -12
So then we would get 8c^2-12c+8c-12, however we can still combine the -12c and the 8c. Combining those would get -4c. So the final answer is 8c^2-4c-12
(8x) 2/3 radical form
evaluate the expression: 3^3 + 3(4 + 1/3)
Your answer: 3^3 + 3(4 + 1/3) = 40
Answer: 130
Step-by-step explanation: I first did 4+1/3 which is 4 1/3 and then I did 3^3 which is 27 then I added 3 to 27 and I multiplied 27 and 4 1/3 and got 130.
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
what is the common difference 5,3,1,-1
Answer:
t2-t1= 3-5 = -2
answer= -2
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 321x+9 =
Help please
Answer:
3
Step-by-step explanation:
cross multiply
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
Use the Distributive Property to find the product 3/4 • 2 1/3
If there is a boy to girl ratio of 3:4, how many girls are there if there
are 18 boys? Complete the table to determine the answer.
Boys
Girls
Answer:
24 Girls
Step-by-step explanation:
3/4 = 18/x
3*x = 18*4
3x=72
3x/3=72/3
x=24
geometry unit 5 homework 5
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
Find the solution or solutions to this equation. Need Help ASAP! Need Help NOW!
Answer: 6
Step-by-step explanation:
If 36=q^2 then you would have to square root 36 to just find q. The square root of 36 is 6.
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
A pet store has 10 puppies including for poodles three terriers and three retrievers if Rebecca selects one puppy at random the pet store replace a puppy with a copy of the same breed then Aaron chooses a puppy at the random find the probability that they both select a poodle?
Answer:
then its 16 i think
Step-by-step explanation:
Use the Distributive Property to simplify the expression.
9(3+c+ 4) =
Answer:
9c4+27 is what I got from solving
Answer:
9(7+c)
I hope it's correct sorry if I'm wrong :(
2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°
Is it point s,w,v, or R PLEase HELP
What generalization can you make about the equations?Use the drop-down menus to complete the explanation
Answer:
They have the same end results
Step-by-step explanation:
Given
The missing equations are:
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 * 4 =[/tex]
Required
Make a generalization about the equations
First, we solve both equations.
(1)
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 / \frac{1}{4} = 7 * 4[/tex]
[tex]7 / \frac{1}{4} = 28[/tex]
(2)
[tex]7 * 4 =[/tex]
[tex]7 * 4 = 28[/tex]
From the solutions to the above equations, we can see that both equations have the same end result;
i.e.
[tex]7 / \frac{1}{4} = 7 * 4 = 28[/tex]
Hence;
A generalization can be: "they have the same end results"
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
can someone please answer some of my questions on my page? im being stalked by a bot who wont give me and answer and keeps putting a link, but i want a trustful answer. (i will mark brainliest on any questions you answer if you do)
Answer:
Trust me
Step-by-step explanation:
Answer:
ikr they put this cuttly.com /... thing in it right
Step-by-step explanation:
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80