Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
Given ∆ABC, m∠A=120°,b=13 cm,c=15 cm. Find the length of side a. Draw the triangle and label it. Show all work to find the missing side length. Use appropriate units.
Answer:
[tex]24.269\ \text{cm}[/tex]
Step-by-step explanation:
[tex]m\angle A=120^{\circ}[/tex]
[tex]b=13\ \text{cm}[/tex]
[tex]c=15\ \text{cm}[/tex]
From the law of cosines we know that
[tex]a^2=b^2+c^2-2bc\cos A\\\Rightarrow a=\sqrt{b^2+c^2-2bc\cos A}\\\Rightarrow a=\sqrt{13^2+15^2-2\times 13\times 15\cos120^{\circ}}\\\Rightarrow a=24.269\ \text{cm}[/tex]
The side [tex]a[/tex] of the triangle is [tex]24.269\ \text{cm}[/tex].
Find the perimeter of the figure to the nearest hundredth.
Answer:
use a calulator hint muliply everything
Step-by-step explanation:
please hurry I really need help
Step-by-step explanation:
I'm just gonna say that you have no photos question. So maybe put something down for people to help you with???
OMG i need halp can someone help me plz and thank you fisrt to answer RIGHT gets brainliest, thanks, and 5 stars :D
Answer:
I think is d
Step-by-step explanation:
Hope it helps:)
please help brainliest if correct only answer if you know
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.
A: The function in vertex form is f(x) = (x – 4)2 – 11.
B: The vertex of the function is (–8, 5).
C: The axis of symmetry is x = 5.
D: The y-intercept of the function is (0, 5).
E: The function crosses the x-axis twice.
Answer:
Ar, ar, ar, ar, ar
Step-by-step explanation:
A for Asylum (k_ll me pls)
B for Banana slit milkshake
E for Eleven years of my life wasted :')
Answer:
1 4 5
Step-by-step explanation:
give me brainliest
Is the given number a solution to the equation?
-9x - 8 = -37.16 if x = 3.24
Answer:
yes it is
Step-by-step explanation:
[tex] (- 9 \times 3.24) - 8 = - 29.16 - 8 = - 37.16[/tex]
Y=4x-6 and passes through point 8,12
Answer:
Slope of required line if both lines are parallel: y=4x-20
Slope of required line if both lines are perpendicular: y=-1/4x+14
Step-by-step explanation:
We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)
Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.
If Both lines are parallel the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are parallel there slopes are same
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=4
Now finding y-intercept
Using slope m=4 and point (8,12) we can find y-intercept
[tex]y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20[/tex]
y-intercept of new line is: b=-20
Equation of required line having slope m=4 and y-intercept b=-20 is
[tex]y=mx+b\\y=4x-20[/tex]
If Both lines are perpendicular the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are perpendicular there slopes are opposite of each other
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=-1/4
Now finding y-intercept
Using slope m=-1/4 and point (8,12) we can find y-intercept
[tex]y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14[/tex]
y-intercept of new line is: b=14
Equation of required line having slope m=-1/4 and y-intercept b=14 is
[tex]y=mx+b\\y=-\frac{1}{4} x+14[/tex]
The information is in the picture PLEASE HELP ME
Answer:
The answer is B. If you do FOIL to the equations you would get the answer.
truth or false? a system of two linear inequalities has either no points or infinitely many points in its solution
Answer:
True
Step-by-step explanation:
I WILL MARK BRAINLIEST
Divide.
56÷−23
−54
−59
59
54
Answer:
-59
Step-by-step explanation:
took the test
Answer:
-5/4
Step-by-step explanation:
i took the test ;)
A person is standing 40 ft from a light post and can see the top of the light at a 35∘ angle of elevation. The person’s eye level is 5
feet from the ground. What is the height of the light post to the nearest foot.
The height of the light post is____ feet?
Answer:
Height of light post = 33 feet
Step-by-step explanation:
We will use the trigonometric ratios to find the height of light post
The given scenario forms a right angled triangle with the right angle with the light post.
The distance between light post and the person is the base.
So, base = b = 40 feet
The height of light post will be the perpendicular
So,
Perpendicular = p = x
Angle = 35°
So,
tan (angle) = p/b
tan 35° = p/40
0.7002 =p/40
0.7002*40 = p
p = 28 feet
Since the persons eye level is 5 feet from the ground, 5 feet will be added to perpendicular for actual height of light post.
Height of light post = 28+5 = 33 feet ..
Maths - 7 out of 10 students are boys. If there are 30 students, how many of them are girls? Help me I stuck
Answer:
there would be 21 girls
Step-by-step explanation:
what is 1 and 3/4 divided by 3 and 1/2
Answer:
0.5
Step-by-step explanation:
Answer:
1.75 i hope this help
Step-by-step explanation:
40 points
In AIJK, the measure of ZK=90°, the measure of ZJ=76°, and JK = 3.6 feet. Find the
length of IJ to the nearest tenth of a foot.
Answer:
14.9 ftStep-by-step explanation:
JK/IJ = cos 76°3.6/x = 0.2419x = 3.6/0.2419x = 14.9 ftConcepts:
CosProportions Algebra 1Answer: 14.9 ft
How I got it:
[tex]\frac{JK}{IJ}[/tex] = cos 76 degrees
[tex]\frac{3.6}{y}[/tex] = 0.2419
x = [tex]\frac{3.6}{0.2419}[/tex]
x = 14.9 ft
3/4 x 10 Multiply. Write in simplest form.
can all linear functions be modeled by an arithmetic sequence? if not, provide a counterexample
will get brainliest
I really need help pls I don’t understand it would be great if anyone could pls help me I’ve been on this for like 5 mins
Answer:
6 is the answer
Step-by-step explanation:
probably won't help but stay safe :)
Where would the following be placed on the number line? Please help !
Answer:
1st is one is around 4
2nd is 3
3rd is 4.5
Step-by-step explanation:
Find the equation of the line shown.
Answer:
y = 2x
Step-by-step explanation:
By inspection, we can see the line crossing through the points: (0,0) , (1,2)
[Use the slope formula to find m]
m = (Y2 - Y1) / (X2 - X1)
m = (2 - 0) / (1 - 0)
m = 2/1 = 2
[Use the point slope formula to find equation]
(y-y0) = m(x-x0)
y - 0 = 2(x - 0)
y = 2x
Lindsey was solving a problem, her work is shown below:
3n−5=−8(6+5n)
Step 1: 3n−5=−48−40n
Step 2: 3n=−53−40n
Step 3: 43n=−53
Step 4: n=−1.233
On which step did Lindsey make a mistake?
Answer:
step 2 has a mistake
Step-by-step explanation:
-48+5 is -43 not -53
xoxo,your highness...Mel spent $47.97 on three cds. Two of the cds were the same price, and the third cd cost $5.00 more than one of the other two cds. The total cost can be represented by the equation 2c + (c+5) = 43.97, where c is the cost of one lower-priced cd. What was the cost of the higher priced cd?
Given :
The total cost can be represented by the equation 2c + (c+5) = 43.97, where c is the cost of one lower-priced cd.
To Find :
The cost of the higher priced cd.
Solution :
Solving given equation :
2c + c + 5 = 43.97
3c + 5 = 43.97
3c = 43.97 - 5
3c = 38.97
c = $12.99
Therefore, cost of higher priced cd is $( 12.99 + 5 ) = $17.99 .
Hence, this is the required solution.
I dont know how to do long division
Write an equation
Eight times the sum of m and 7 is 21
Answer:
the equation would be 8(m+7)=21
I will mark brainest if it right
1. -3x + 23 = 2x + 8
x=
Answer:
x = 3
Step-by-step explanation:
if its not it let me know!
Answer:
x = 3
Step-by-step explanation:
Subtract 23 from both sides of the equation
Simplify
Subtract 2x from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Plz help me!!! And Thank you
Answer The answer is A and B
Step-by-step explanation:
Answer:
y interecept is -2
x intercept is 2
its the quiz again isnt it
this stuff shouldnt be to hard i believe
Good morning can anybody help me out with this assignment please and thanks! \
please this if for an grade
Answer:
Hello im doing the same right now and i need help
Step-by-step explanation:
sorry though but its hard
Chris is cutting a roll of cookie dough into pieces that are 1/2 inches thick. if the roll is 10 1/2 inches long, how many pieces can he make?
Answer:
5.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/2 x 21 = 10.5
21?
The equations of lines j and k form a system of equations
Answer:
Step-by-step explanation:
What is the y=Mx+b of this??
Answer:
y=-1/4x-6
Step-by-step explanation:
you fall 1 for every 4, meaning the rise over run is 1/4 and since its falling, it becomes -1/4.
next, b is equal to -6 because that is your y-intercept (where your line meet the y axis).
so, if you put it all together it becomes y= -1/4x-6
The top three finishers in a bicycle race completed a 5-question survey about the race conditions. Which is the most likely cause of bias in the survey results? A. The survey was completed by the top finishers in the race. B. The survey included only 5 questions. C. The survey was completed after the race. D. The survey was given to people who competed in the race.
Answer:
B is most likely the correct answer
Step-by-step explanation:
