Solution :
It is given that the length of a side of a triangle is given by 'a'.
It is an equilateral triangle.
So the three sides will be of equal length and is a, a, a units.
Now the semi perimeter of the equilateral triangle is given by :
[tex]$S=\frac{a+a+a}{2}$[/tex]
[tex]$=\frac{3}{2}a$[/tex]
Therefore, using the Heron's formula, we can find the area of the equilateral triangle.
Area of the equilateral triangle is given by :
[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]
[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]
[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.
what complex numbers graph is shown?
Answer:
D.
Step-by-step explanation:
Took the test
Bonjour mon exercice c'est 36%de 25km. C'est un exercice de maths à faire pouvez vous m'expliquer svp merci
Answer:
9km
Step-by-step explanation:
La question précise que:
36% de 25km
La signification de "OF" mathématiquement = x (multiplication)
Par conséquent:
36% de 25km
= 36/100 × 25 km
= 9 km
Triangle ABC was transformed to be triangle DEF using one transformation.
What transformation was performed?
perfect square trinomial conditions
Step-by-step explanation:
step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.
step 2. dos must have only 2 square rootable terms and a "-" between them.
step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!
step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!
step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!
step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!
For camping mrjohn son needs 12 1-2 feet of rope to tie the logs that he has to cut for the campfire and 9 3-4 feet of the rope for the clothesline what is the total length of rope he needs for the camping trip
Answer:
Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip
Step-by-step explanation:
To get the total length of rope Mr John needs for the camping trip, we can simply add up the length of rope he needs to tie the logs to the length of rope he needs for the clothesline.
Length of rope he needs to tie the logs = [tex]12\frac{1}{2}[/tex]
Length of rope he needs for the clothesline = [tex]9 \frac{3}{4}[/tex]
to sum this up, we, first of all, add up the whole numbers
12 + 9 = 21.
We then keep this aside then add up the fractions
[tex]\frac{1}{2} +\frac{3}{4} =\frac{2 +3}{4} = 5/4 = 1\frac{1}{4}[/tex]
We then add this to our whole numbers
[tex]21 + 1\frac{1}{4} =22 \frac{1}{4}[/tex]
Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip
Factor the expression using GCF
7h + 21
pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in
Answer:
b) 256 inches
Step-by-step explanation:
8x5x2 = 80 (top & bottom)
8x5x2 = 80 (front & back)
8x8x2 = 128 (gross area of 2 sides)
4x4x2 =32 (delete this for side cutouts) Guessing the cutoff dimension on
left side is 4m inch.
80+80+128-32 = 256 inches
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below
Answer:
2, 3, 4
Step-by-step explanation:
Renee bought 7 potatoes at the supermarket. The shortest diameter of each,
in centimeters, is shown below.
2, 3, 4, 4, 6, 6, 7
After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Reneetsed?
Solution:
The median of a group of numbers is the middle number when the group of numbers are arranged in a sorted manner, either ascending or descending.
The median of an even group of numbers, is gotten by taken the average of the two innermost numbers.
Given that the diameter of the potato as:
2, 3, 4, 4, 6, 6, 7
Given that after removing one potato, the median of the remaining potatoes was 5 centimeters.
After removing one potato, the remaining would just be 6. 6 is an even number, hence the median would be the average of the 2 middle numbers.
To get 5 cm, it has to be the average between 4 and 6. This is only possible when a potato of diameter 2,3 or 4 is removed.
If potato with diameter 2 is removed, the remaining is 3, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 3 is removed, the remaining is 2, 4, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
If potato with diameter 4 is removed, the remaining is 2, 3, 4, 6, 6, 7.
Median = (4 + 6) / 2 = 5
Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square
Answer:
Step-by-step explanation:
No, it's not always true
The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work
Answer:
I think this is right thanks :)
The box-and-whisker plot below represents some data set. What percentage of the data values are less than 80?
Answer:
25
Step-by-step explanation:
25%
delta math
a) Jelaskan konsep Alam Melayu.
Answer: The Malay world or Malay realm, is a concept or an expression that has been utilised by different authors and groups over time to denote several different notions, derived from varied interpretations of Malayness, either as a racial category, as a linguistic group or as a political-cultural group. The use of the term 'Malay' in much of the conceptualisation is largely based on the prevalent Malay cultural influence, manifested in particular through the spread of the Malay language in Southeast Asia as observed by different colonial powers during the Age of Discovery.
-Your friend, Bill Cipher
Step-by-step explanation: Have a great Valentines day <3
What is the domain? {-2,3); (1,4); (2,4); (0,0)}
Answer:
-2,1,2,0
Step-by-step explanation:
0 your choice to right,still right it to be safe, domain is all x values
What is this trying to ask me ???
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
please help me with this i need it
Step-by-step explanation:
25.74- 8.58=x/4.29
3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?
Answer:
$42.50
Step-by-step explanation:
15% = .15
50 x .15 = 7.5
50 - 7.5 = 42.5
What is the value of the 5 in 590
the value of the 5 in 590 is hundred
Answer:
thousands I think you can still double check if you want
Help, I need this soon!
Answer:
1a. x=2 1b. x= -1
Step-by-step explanation:
PLease help
WILL GIVE BRAINLIEST
Answer:
41.472 m²
8.449m²
Step-by-step explanation:
c) scale facot is 7.2/5 = 1.44
the square scale factor is 1.44^2 = 2.0736
times 20 by this to get the area
2.0737x 20 = 41.472 m²
d) 2.8/6 = SF = 0.467
0.2178 x 38.8 = 8.449m²
help plsss(+Brainliest too.)
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Answer:
the answer is 256
Step-by-step explanation:
Mark Me Brainliest Please.yes or no ? i need help
Answer:
Yes it is linear
Step-by-step explanation:
90 POINTS AND A BRAINLIEST!!!!!!
A certain rectangular prism has a height of 6 m, a length of 5 m, and a width of 4 m. Give the dimensions of a SECOND rectangular prism that will have the same surface area of the first one.
Pls dont look up the question and copy and paste the same answer either
if you do i will report you
if anyone is wondering why im so "pressed' I've had LOTS of issues with arrogant people
Thanks!
PLS DON'T ASK FOR BRAINILEST UNLESS YOU TAKE YOUR TIME AND ACTUALLY DO THE QUESTION PLEASE :((((
Answer:
The surface area is 148
Step-by-step explanation:
Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.
The formula i got was: A= 2(wl+hl+hw)
W= width h= height l= length
From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)
A= 2 [ (4x5) + (6x5) + (6x4) ]
from here you do order of operations starting with what's inside the parentheses. Then you work your way out.
A= 2 [20+ 30+ 24]
A= 2 [74]
Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)
Final answer is
A= 148
if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)
A length of 5.3, a width of 7, and a height of 3. This would give you the same surface area of 148 as the 1st one. Good luck with your studies <3
This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7
Answer:
-7x + 8(x + 1) = -7
Step-by-step explanation:
what is HL, please help me ill give you brainliest if its correct.
i think It is 21! Let me know if i is wrong.
Solve the propotion
q/5 = 4/1
Answer:20
Step-by-step explanation: If u need help again: https://mathpapa.com/algebra-calculator.html
Answer:
q = 20
Step-by-step explanation:
q 4
5 = 1
4 x 5 = 20
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
13
Step-by-step explanation:
Find the sum of 0.333......and 0.444....
Answer:
0.777......
Step-by-step explanation:
0.333...... + 0.444......
= 0.777......
Hope it helps :)
Please mark my answer as the brainliest
Step-by-step explanation:
The sum of 0.333.... and 0.444... is 0.777......
isabella earned $44.00 for 4 hours of work.How much was earned per hour
Answer:
11$ an Hour because
Step-by-step explanation:
Because 4 divided by 44 = 11.
HELP DUE IN 5 MINS WILL GIVE 20 POINTS!!!!
Answer:
c is the answer i believe
Step-by-step explanation:
What is the greatest common monomial factor of 6m3x4 + 30m5y2 + 45m3x6y2? 6m5x6y2 3m3 6m3 3m5x6y2
Answer:
3m³
Step-by-step explanation:
The leading coefficiets, 6, 30 and 45 are all divisible by 3
m is the only variable present in all three terms.
m³ is a factor of m⁵