Answer:
1) area = (x + 3)(2x + 3) ft²
2) 299 ft²
Step-by-step explanation:
Question 1
Area of a rectangle = width x length
Given:
width = x + 3length = 2x + 3⇒ area = (x + 3)(2x + 3) ft²
Question 2
If x = 10:
⇒ area = (10 + 3)(2(10) + 3)
= 13 · 23
= 299 ft²
#1
New dimensions=x+3 and 2x+3ftSo
Area:-
Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2#2
Put x=10
2(10)^2+9(10)+92(100)+90+9200+99299ft^2Graph the line with the equation y=1/2x+5
Here it is
.,.,.,.,..,.,.,.
82% of £134.18
Give your answer rounded to 2 DP
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at https://brainly.com/question/24737967
I need this plss
(will give brainliest)
Answer:
-2, 3
Step-by-step explanation:
The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the cylinder?
The radius of the cylinder is ?
(Round to the nearest tenth if needed)
Answer:
Your answer is 4.72
Use the formula:V=πr2h
What is the area of the following figure?
17.6 mm
Step-by-step explanation:
Area = (17.6)²mm²
=309.76 mm²
Please help me ASAP!!!!!!!!!!
Step-by-step explanation:
G(-5,4)==========G'(5,4)
Hello!
If we reflect a point over the y-axis, then we change the sign on the x-coordinate of the point.
If we have a point (1, 2) and we reflect it over the y-axis, we now have a point (-1, 2)
So the point's y-coordinate hasn't changed.
Here we have a point
(-5, 4)
Its x-coordinate is -5. Change its sign:
(5, 4)
Remember, the x-axis is horizontal, and the y-axis is vertical.
I can't graph the point, but I can give you some tips.
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
:-)
please help QUICK I WILL GIVE YOU BRAINLIST
Answer:
P = 59°Step-by-step explanation:
Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just after step 3, the ovule develops cones.
Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work.
Check the picture below.
keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.
3x + 10 is greater than or equal to 30
Answer:
x∈[20/3;+∝).
Step-by-step explanation:
3x+10≥30; ⇔ 3x≥20; ⇔ x≥20/3
Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]
asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?
Tambourine: $13.95Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
I would pick a, the estimated total to the nearest dollar is 38
Step-by-step explanation:
13.95 rounded is 14
23.50 rounded is 24
24+14=38
At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts?
What is the value of angle h? How do you know (what type of angle pairs are they)?
Answer:
can you provide an image?
Step-by-step explanation:
PointM is the midpoint of AB. if the coordinates of A are (6,-4) and the coordinates of M are (4,2), what are the coordinates of B?
Ok here is the fastest way to do this:
Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.
Subtract x-value of M from x-value of A: 6 - 4 = 2
We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2
Notice that of the choices below, only one answer has the x-value of 2.
B
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
Answer:$96,054,697,990 ”C”
Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue
The income tax collection by the total population of australia will be $96,054,697,990
What is income tax?
Some amount of our income is charged by the government this amount is called as income tax.
Calculating the amount taxed from each person in the working population:
31.4% × 26450 = $8305.30 per person
The amount of tax collected from the whole population:
8305.30 × 11565470 = $96,054,697,990
The annual tax revenue will be equal to $96,054,697,990
To know more about income tax follow
https://brainly.com/question/25783927
There were 6 biscuits in each box. how many biscuits are there in 7 boxes?
There was 42 biscuits in the boxes
HeLp
What is the first step in solving the equation n/-2. 25=15. 6 ?
multiply both sides of the equation by n/-2. 25
multiply both sides of the equation by 15. 6
divide both sides of the equation by -2. 25
divide both sides of the equation by 15. 6
Answer:
Multiply both sides of the equation by n/-2.25
Step-by-step explanation:
[tex]\frac{n}{-225}=15.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-2.25[/tex]
[tex]\frac{n\left(-2.25\right)}{-2.25}=15.6\left(-2.25\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]n=-35.1[/tex]
~lenvy~
Answer:
The answer is A. (multiply both sides of the equation by n/-2.25).The final answer is n=-35.1.Step-by-step explanation:
To solve this problem, first, you have to isolate the term of n from one side of the equation.
[tex]\sf{\dfrac{n}{-2.25}=15.6 }[/tex]
The only way to solve this is to multiply both sides by -2.25.
[tex]\sf{\dfrac{n(-2.25)}{-2.25}=15.6(-2.25) }[/tex]
After that, you solve.
Multiply the numbers from left to right.
[tex]\sf{15.6(-2.25)=\boxed{\sf{-35.1}}[/tex]
n=-35.1Don't forget to use a variable for your final answer.
Therefore, the correct answer is n=-35.1 and A. multiply both sides of the equation by n/-2.25.I hope this helps you! Let me know if my answer is wrong or not.
only 4 b and c please
Answer:
a) 2L + 2W = 42
b) L = 2W + 3
c) The system is :
2L + 2W = 42
L - 2W = 3
( add the two equations )
3L + (2w - 2w) = 45
3L = 45
L = 45/3
L = 15 ( Length )
L - 2W = 3
15 - 2W = 3
2W = 15 - 3
W = 12/2
W = 6
Area of square= 625 m sq Perimeter =??
Answer:
100 m
Step-by-step explanation:
Given :
Area of square = 625 m²#1) Finding the side length
Area = (side length)²⇒ side length = √Area⇒ side length = √625⇒ side length = 25 m#2) Calculating perimeter
Perimeter = Total length of the sides of the shapePerimeter = 4 x side length [a square has 4 equal sides]⇒ Perimeter = 4 x 25⇒ Perimeter = 100 mAnswer:
100 m.
Step-by-step explanation:
So the area of a square (or any rectangle) is length (l) x width (w). Additionally, all sides of a square are the same length. So if your area is 625 m sq, then one side length would be the square root of 625, which is 25.
So, as we know that one side length is 25 m, and that the perimeter is all side lengths added together, and that a square has four equal sides,
we can add the four lengths of 25 together: (4)(25) [25+25+25+25].
(4)(25) = 100.
The perimeter of the square is 100 m.
A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries
Answer:
10 > P ≥ 5
Step-by-step explanation:
inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )
sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )
then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )
Determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (Round your answer to the nearest tenth. ) a. The percentage of trench coats sold decreased by 0. 8%. B. The percentage of trench coats sold increased by 0. 8%. C. The percentage of trench coats sold decreased by 23. 3%. D. The percentage of trench coats sold increased by 23. 3%.
The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage
the final is 127, and the initial is 103
127 - 103 = 24
24/103 = 0.233
0.233 x 100
= 23.3%
Thus, The percentage of trench coats sold increased by 23. 3%.
Learn more about percentages;
https://brainly.com/question/13450942
A ball is thrown from a height of 44 meters with an initial downward velocity of 6 m/s . The ball's height h (in meters) after t seconds is given by the following.
h= 44 - 6t - 5t squared 2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
Step-by-step explanation:
h = -5t^2 - 6t + 44
I'll assume 0 meters is the ground height. That would mean we want to know the time, t, for h to be = 0 meters:
h = -5t^2 - 6t + 44
0 = -5t^2 - 6t + 44
5t^2 + 6t -44 = 0
Solve using the quadratic equation: 2.43 and - 3.63 seconds. We'll use the positive value: 2.43 seconds for the ball to reach the ground. Save the -3.63 value for the Klingons.
We can also solve by graphing the function, as per the attached image. Note that the starting time of 0 seconds, the ball is at 44 feet. It reaches the x axis at 2.43 seconds (where x = 0, the ground).
Answer:
t = 2.43 s (nearest hundredth)
Step-by-step explanation:
Given equation: [tex]h=44-6t-5t^2[/tex]
where:
h = height (in meters)t = time (in seconds)When the ball hits the ground, h = 0
[tex]\implies 44-6t-5t^2=0[/tex]
[tex]\implies 5t^2+6t-44=0[/tex]
Using the quadratic formula when [tex]ax^2+bx+c=0[/tex] and where:
a = 5b = 6c = -44x = t[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]=\dfrac{-(6)\pm\sqrt{(6)^2-4(5)(-44)}}{2(5)}[/tex]
[tex]=\dfrac{-6\pm\sqrt{916}}{10}[/tex]
[tex]=\dfrac{-6\pm2\sqrt{229}}{10}[/tex]
[tex]=\dfrac{-3\pm\sqrt{229}}{5}[/tex]
[tex]=2.43, -3.63 \ \textsf{(nearest hundredth)}[/tex]
As time is positive, t = 2.43 s (nearest hundredth)
3x+4y=36
Y=-1/2+8
How do I solve this?
Answer:
x = 2
Step-by-step explanation:
3x+4y=36
Y=-1/2+8
Now we substitute y with -1/2+8.
3x + 4(-1/2+8) = 36
3x + 4(7.5) = 36
3x + 30 = 36
3x = 6
x = 2
Have an amazing day!!
Please rate and mark brainliest!
solve each of the following equations
1)x+8-15
Answer:
x - 7
Step-by-step explanation:
x + 8 - 15
Subtract 15 - 8 = 7
x - 7
~Lenvy~
A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.
Answer:
18.3
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2
a, b = legs
c = hypotenuse
17^2 + b^2 = 25^2
b = 18.3
Marley bought four bandannas for $3.00 each and two shorts for $15.00
each. If she pays 8.5% sales tax on her purchase, what is her total cost?
Answer:
45.57
Step-by-step explanation:
We first need to multiply :)
4 x 3.00 = 12.00
15.00 x 2 = 30.00
Now we add!
12.00 + 30.00 = 42.00
And we multiply one more time to find the answer!!
42 x 0.085 = 3.57
And we now add one more time!!
42.00 + 3.57 = 45.57
The answer will be $45.57. :)
Have an amazing day!!
Please rate and mark brainliest!!
What steps are used to solve this equation?
6f = 48
Complete each statement.
First,
on both sides of the equation.
Next, simplify the equation to determine that the solution of the equation is
.
Check the solution by substituting
for f and simplifying.
Answer:
F=8
Step-by-step explanation:
6f=48
Divide each side by 6
f=8
Substiuite
8x6=48??
Yes
Step-by-step explanation:
Simplifying 6f = 48 Solving 6f = 48 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '6'. f = 8 Simplifying f = 8
Amy rolls a 12 sided die numbered from one to twelve.
what is the probability amy rolls a multiple of 4 written
as a percent?
To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.
Multiples of 4: 4, 8, 12
---There are 3 possibilities
Total outcomes: 12
3 / 12 = 1/4 = 0.25 = 25%
Probability Amy rolls a multiple of 4 = 25%
Hope this helps!