Answer:
452 m^2
Step-by-step explanation:
Formula
A=4πr^2
4·π·6^2≈452.38934
Paisley and Damian are both driving along the same highway in two different cars to
a stadium in a distant city. At noon, Paisley is 315 miles away from the stadium and
Damian is 383 miles away from the stadium. Paisley is driving along the highway at a
speed of 42 miles per hour and Damian is driving at speed of 59 miles per hour. Let
P represent Paisley's distance, in miles, away from the stadium t hours after noon.
Let D represent Damian's distance, in miles, away from the stadium t hours after
noon. Write an equation for each situation, in terms oft, and determine whether
Paisley or Damian is closer to the stadium 5 hours after noon.
are
Using linear functions, it is found that:
Paisley's equation is: P(t) = 315 - 42t.Damian's equation is: D(t) = 383 - 59t.Damian is closer to the stadium 5 hours after noon.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -42, b = 315, then:
P(t) = 315 - 42t.
Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:
m = -59, b = 383, then:
D(t) = 383 - 59t.
After 5 hours, their distances are:
P(5) = 315 - 42(5) = 105
D(5) = 383 - 59(5) = 88
D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.
More can be learned about linear functions at https://brainly.com/question/24808124
213 (2 significant figures)
Step-by-step explanation:
210
.................
i will give brainleist
Let's write the equation in standard from
[tex]y = mx + b[/tex]
Where,
m is slope or rate of changeb is the y-intercept or initial valueLet's start by finding slope⤵️[tex] \boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}[/tex]
x1, y1 = 0,12x2, y2 = 1,13[tex] \tt \: m = \frac{13 - 12}{1 - 0} [/tex]
[tex] \tt \: m = \frac{1}{1} [/tex]
[tex] \tt \: m = 1[/tex]
b = 12Equation⤵️[tex] \sf \: y = 1x + 12[/tex]
Solution:
Step-1: Create a coordinate plane.
Graph attached~Step-2: Plot the points on the graph.
Points have been plotted on the graph.Step-3: Choose any two points on the graph.
My chosen points are (2,14) and (3,15).Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.
=> 15 - 14/3 - 2=> 1/1=> Slope = 1Step-5: Find the y-intercept.
We are given a point (0,12), where 0 is the x-coordinate. Since it is 0, 12 is the y-intercept.Step-6: Revise the equation created.
y = mx + b (m = slope; b = y-intercept)=> y = (1)x + 12=> y = x + 12Hoped this helped!
Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following
prices,
Company A charges $79 and allows unlimited mileage.
Company B has an initial fee of S65 and charges an additional S0.70 for every mile driven
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
65 + .70(20)= 79 dollars
Step-by-step explanation:
65+0.70miles = Fee
this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same
please mark brainliest if u can i need 5 more :)
Are the two triangles similar? How do you know (What Theorem) S 9 и 6 U T V Your answer
Yes they are ;
SUT angle = WUV angle
&
[tex] \frac{SU}{WU} = \frac{TU}{VU} = \frac{ST}{VW} \\ [/tex]
The area of a rectangle is 70cm² and it is 7m broad.
i)Find its length
ii)Find its perimeter.
Please help.
Answer:
soln
here,
area of a rectangle =70cm *
breadth = 7m
we know,
area (a)=l×b
70=l×7
70=7l
70÷7=l
10=l
therefore, itslength is 10m
again,
perimeter (p)=2(l+b)
=2(10+7)
=2×17
=34cm
therefore, its perimeter is 34cm.
I spent 22.50 on carinal rides that cost 1.25 each how many rides did i get
Answer:
18
Step-by-step explanation:
divide 22.50 by 1.25 to get the number of rides.
What is the value of x
Answer:
x = 37
Step-by-step explanation:
74 and 2x are vertical angles so they are equal.
74 = 2x
x = 37
Evaluate 4x^2 -3x for x=-4
Answer:
Step-by-step explanation:
4x^2 -3x for x = -4
4(-4)^2 - 3(-4)
4 (16) - (-12)
64 + 12
76
Hope this helps!
Answer:
76
Step-by-step explanation:
It is easier to do x square first which gives you 16
Then do 16 times 4 which is 64
Then do x times -3 which is -12
Then do the sum 64-(-12)
which gives you the answer of 76
Hope This Helps
please solve
-5+(-8) step by step thank you!!
Answer:
[tex] - 5 + ( - 8) \\ \\ = - 5 - 8 \\ \\ = - 13[/tex]
# be care#
colour in so that the ratio of blue squares to green squares is 2:3 , 15 squares in the box
Answer:
15/5= 3
Blue Squares: 3*2= 6
Green Squares: 3*3= 9
How many unique values can be created by forming the fraction $\frac{x}{y}$ where $x$ is either 3, 6, or 12 and $y$ is either 3, 6, or 12?
help
Answer:
7 unique values can be created.
pls I'm in need of urgent helpppppppp.
question (ii) is my main problem. pls help immediately you get this question. thanks in advance.
A committee of 4 people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if :
i) everyone is equally eligible
ii) the committee should include at least one woman.
Answer:
So your best bet is everyone is equally eligible although I dont really know wait for other answers
Step-by-step explanation:
When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.
Hannah drew square a with a side length of 8 centimeters, as shwon in the diagram below. Hannah used a scale fatctor of 6/4 to dilate Square A and square A' what was the perimeter of Square A'
Answer:
80cm
Step-by-step explanation:
8 x 6/4 = 20
20 x 4 = 80
Answer:
0.5
Step-by-step explanation:
Hannah is in labor, she is 8 centimeters dilated. Shown in the diagram. Now, the perimeter of her puhtay and her child's head are 6/4. The fatctor of this is square b. Not a. To make Hannah's labor smooth, we need to figure out how much more she needs to dilate. since she is 8 centimeters, and the baby's head is 6/4. she will need 3 more centimeters until it is able to come out correctly. I hope this answered your question!! would love to answer more.
:)
what is the slope of 8x-4
If f(x)=-3x +2, find
c) x if f(x) = 0.
Answer:
f(0)=2
Step-by-step explanation:
f(x)=-3x +2
f(0)=-3(0) +2
f(0)= 0 +2
f(0)=2
What is the value of x?
Enter your answer in the box.
Answer:
x = 25
Step-by-step explanation:
Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse of a right triangle
[tex]\implies 7^2+24^2=x^2[/tex]
[tex]\implies 49+576=x^2[/tex]
[tex]\implies 625=x^2[/tex]
[tex]\implies x=\sqrt{625}[/tex]
[tex]\implies x=\pm25[/tex]
[tex]\implies x = 25[/tex] only, as distance is positive
Use Pythagorean theorem
[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]
[tex]\\ \rm\longmapsto x^2=576+49[/tex]
[tex]\\ \rm\longmapsto x^2=625[/tex]
[tex]\\ \rm\longmapsto x=25[/tex]
ILL GIVE BRAINELST
Which points are on the line?
Answer:
the first second and last one because you plug in the x and then plug in the y
Need number 9 please!
please help me i give you 30 points
x - 6 ( if x = 6)
Answer:
x - 6 = 0
Step-by-step explanation:
x - 6 = ?
If x = 6, then
6 - 6 = 0
Solve Polynomials for 9 and 10
Answer:
See below.
Step-by-step explanation:
(4x^2-3x^3)+(2x^2+4x^3)
6x^2-x^3
(-8x^2-2x+7)+(x^2-3x+2)
-7x^2-5x+9
-hope it helps
The circumference of Circle K is pi. The circumference of Circle L is 4xpi.
Two circles, one labeled “Circle K” and the other as “Circle L.”
What is the value of the ratio of their circumferences? of their radii? of their areas? Write the ratios as fractions in the simplest form.
Answer:
Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]
Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is [tex]\pi[/tex]
- The circumference of Circle L is [tex]4\pi[/tex]
Therefore, the ratio of their circumferences would be:
[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].
If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.
Therefore the ratio their radii would be:
[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified
The formula for area is:
[tex]A=\pi r^2[/tex]
First, let's find the area of Circle K:
[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]
Now, let's find the area of Circle L:
[tex]A=\pi (2)^2\\A = 4\pi[/tex]
Therefore, the ratio of their areas would be:
[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified
I hope this helps!
At a hotel yesterday, 315 guests used the swimming pool and 210 guests did not. What percentage of the guests at the hotel used the pool yesterday?
Answer:
60%
Step-by-step explanation:
% = Used Pool ÷ Total × 100
= 315 ÷ 525 × 100
=60%
Answer:
60 percent
Step-by-step explanation:
HELP SOS I NEED HELP
Answer:
[tex]602.8cm^{3}[/tex]
Step-by-step explanation:
Volume of cylinder = π [tex]r^{2}h[/tex]
Here, [tex]r=4cm\\ h=12cm[/tex]
Volume = π × [tex]4^{2}[/tex] × [tex]12[/tex]
[tex]=602.8cm^{3}[/tex] (converted to 1 decimal place)
Inventory The college store maintains an inventory
of baseball T-shirts and sweatshirts that have the team
logo. Due to demand, the number of baseball T-shirts
kept in inventory is four times the number of baseball
sweatshirts. If the store has 164 T-shirts, how
many
sweatshirts are in inventory at the college store?
Answer:
41
Step-by-step explanation:
divide by 4
what is the answer
3r =30
Answer:
r=10
Step-by-step explanation:
Answer:
r = 10Step-by-step explanation:
[tex]3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ [/tex]
“El producto de dos veces
un número y ocho”
Find the area of the circle to the nearest whole number, if necessary!
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:
[tex]A=\pi r^{2}[/tex]
where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.
[tex]A=\pi (21)^2\\A=441\pi \\A=1385.44236...[/tex]
So, to the nearest whole number, the area of the circle is 1385 square mm.
David throws a bucket with an initial speed of 2 meters per second into a well that is 30 meters deep. When will the bucket hit the bottom of the well?
A. About 2.69 seconds
B. About 30 seconds
C. About 3.82 seconds
D. About 4.21 seconds
Answer: A
Applying the expression for speed, we found that the time taken for the bucket to hit the bottom of the well is 15 seconds
Speed, Distance, TimeGiven Data
Speed = 2 meters per second
Distance = 30 meters
Time = ??
We know that the expression for the relationship between speed, distance and time is given as
Speed = Distance/Time
substituting we have
2 = 30/t
cross multiplying
2t = 30
divide both sides by 2
t = 30/2
t = 15 seconds
Answer 15 seconds
Learn more about speed and distance here:
https://brainly.com/question/4931057