Answer:
My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c
Step-by-step explanation:
Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.
So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]
= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]
= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.
So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]
= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]
= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4
So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.
Find the Mean,
3, 9, 13, 8, 10, 2
Mean
can someone help me?
Answer:
7.5
Step-by-step explanation:
3 + 9 + 13 + 8 + 10 + 2 = 45
There are 6 numbers so we divide 45 by 6
45/6 = 7.5
Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!
Answer:
x = 3
Step-by-step explanation:
2y = 2x - 8
2(-2x + 5) = 2x -8
-4x + 10 = 2x - 8
+4x +4x
10 = 6x - 8
+8 +8
18 = 6x
divide both sides by 6
x = 3
Hope this Helps!!!
A company claims that their new bottle holds 25% more laundry soap. If their original container held 80 fluid ounces of soap, how much does the new container hold?
Answer: The new container folds 100 fluid ounces.
Step-by-step explanation:
Given: A company claims that their new bottle holds 25% more laundry soap.
If original container hold 80 fluid ounces.
Then, Quantity of soap in the new container = 80 fluid ounces + 25% of 80 fluid ounces
= [80+0.25 x 800] fluid ounces [ 25% = 0.25]
= 80+ 20= 100 fluid ounces
Hence, the new container folds 100 fluid ounces.
Answer:
66.25
Step-by-step explanation:
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65Mr Doyle mowed 2/7 of his lawn. His son mode 1/3 of it. Who made most of the lawn? How much of the lawn still needs to be mowed?
Answer:
His son mowed most of it and 8/21 of it still needs to be done.
Step-by-step explanation:
Trust me
Rate 5 stars mark as brainliest and press thancks plz!
Help meeeeee! plsssssssssssssssssssssssssssss
Step-by-step explanation:
Store a must offer 30%
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
for each value of y , determine whether it is a solution to 3y<24.
Answer:
1) No
2) Yes
3)No
4)Yes
Step-by-step explanation:
1) 3(8) is simplified to 24
But 24 < 24 is not a true statement because they are both equal.
2) 3(5) is simplified to 15
15 < 40 is a true statement because 15 is less than 24
3) 3(11) simplifies to 33
33 < 24 is not a true statement because 33 is more than 24
4) 3(6) simplifies to 18
18 < 24 is a true statement because 18 is less than 24
Hope this helped.
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
Please hurry it’s 100 points
Answer:
I Believe B
Step-by-step explanation:
Hope this helps:)
Answer:
B
Step-by-step explanation:
Its B
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
I need this answered!
Simplify the following expression:
5s + 72 - 6
use s = -8 and z = -3
I Record your answer in this box:
Answer:
I believe its -82
Step-by-step explanation:
5 × -8 + 7 × -3 = -82
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.
Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me
Answer: (MAKE ME BRAINLIST PLEASE)
Answer: For Abigail W = $5t
For her younger sibling W= $3t
Bit by bit clarification:
How about we address the compensation with W
t as the time spent on work in hours
Abigail will be paid $5 every hour, her all out compensation will be
W(abg) = $5t
Her younger sibling will be paid $3 every hour, her complete compensation will be
W(lts) = $3t
Determine if they triangles are similar. If so, by what Theorem?
Answer:
SSS
Step-by-step explanation:
The sides of the smaller triangle equal the sides of the larger triangle when you multiply them by six, so they are parallel.
With Big Phone Company, you pay $0.39 for the connection and $0.03 per minute
With LittlePhone Company, you pay $0.25 for the connection and $0.07 per minute
If you plan on making a call that will take at least 4 minutes, which company offers the better
deal?
A. Both companies will charge the same amount.
B. There is not enough information.
C. BigPhone company offers the better deal for this call.
D. LittlePhone company offers the better deal for this call
Big Phone Company offers a better deal for this call.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Big Phone Company:
Cost after 4 minutes.
= 0.39 + 4 x 0.03
= 0.39 + 0.12
= $0.51
LittlePhone Company
Cost after 4 minutes.
= 0.25 + 4 x 0.07
= 0.25 + 0.28
= $0.53
Thus,
The Big Phone Company charges less as compared to the LittlePhone Company after using it for 4 minutes.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
please answer this questions fast
Answer:
5. 216, 1416
6. 448.5 g
Step-by-step explanation:
5.
Price of 1 item: 1200
GST = 18%
18% of 1200 =
= 0.18 * 1200
= 216
Amount of tax: 216
Total price = original price + GST
Total price = 1200 + 216 = 1416
6.
Weight of 1 item: 17 1/4 g
Weight of 26 items = 26 * 17 1/4 g
26 * 17.25 g = 448.5 g
Dan made 90 free throws in 30 minutes Alex made 60 free throws in 20 minutes compare the unit rates
A) Dan made more free throws per minute
B) Alex made more free throws per minute
C) they made the same free-throw‘s per minute
Answer:
A is the answer ..........
Step-by-step explanation:
Describe fully the single transformation which takes shape A to shape B
sorry sir i dont really know
{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2
Answer:5
Step-by-step explanation:
because idrk my teacher just answered this question and i thought i would share :)
A line includes the points (3, 7) and (2, 2). What is its equation in slope-intercept form?
Answer:
y=5x-8
Step-by-step explanation:
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
Square CDFG below contains several angles. Which pairs of angles in square CDFG are complementary? Select all that apply. С C D 27° 63° | М 64° 26° G F UL Angles DCM and MCG Angles MGF and MGC Angles FGM and MCD Angles DCM and DMC
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
A triangle, a square, and a circle lie in the same plane. What is the maximum possible number of intersections points that can occur?
PLEASE HELP ME NOW! IM FREAKING OUT I REALLY NEED AN ANSWER!!!
Answer:
The maximum possible is 20 intersections.
Step-by-step explanation:
when you spin a 2D triangle, it looks like a 3D pyramid. true or false
Answer:
False
Step-by-step explanation:
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
