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bazaltina [42]
3 years ago
15

Make p the subject of the formula. 4(p-2p)=3+2

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

p=-5/4

Step-by-step explanation:

expand brackets

4p-8p=3+2

simplify

-4p=5

divide by -4

p=-5/4

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Prove cotA+cotB+cotC >= square root of 3
Zigmanuir [339]
<span>Given cotA + cotB + cotC = sqrt3
to prove triangle ABC is equilateral 
we prove this by assuming ABC to be equialteral and establishing the truth 
of the statement cotA + cotB + cotC =sqrt3 

since ABC is equialteral angleA=angleB=angleC=60 degrees 
cotA=cotB=CotC = cot60= 1/sqrt3 
therefore cotA + cotB + cotC = 1/sqrt3 + 1/sqrt3 + 1/sqrt3 
=3/sqrt3 
=sqrt3 which is equal to the RHS ( right hand side) of the expression 
hence our assumption that ABC is equilateral is true</span>
7 0
3 years ago
The area of a circle, in terms of π, is 4πm2.Find the value of the radius
katen-ka-za [31]
<h3>Answer:  2</h3>

Work Shown:

A = pi*r^2

4pi = pi*r^2

4 = r^2

r = sqrt(4)

r = 2

The radius is 2 meters.

8 0
3 years ago
A third-grade class is told to send a valentine to every single one of their classmates. On Valentine’s Day, the class ends up w
FinnZ [79.3K]
306 is the total cards sent by all the students in the class. Lets say x is the number of students in class, therefore each student needs to send x-1 cards (since they do not send themselves a card). So depending on your level of math, you could either take the complex way to solve it using quadratic equations, or just find the number that if multiplied by itself then subtracted, gives you 306.
(x \times x) - x = 306 \\ lets \: try \: 18 \\ (18 \times 18) - 18 = 306 \\ so \: x = 18
===============
Complex way
(x \times x) - x = 306 \\ {x}^{2} - x - 306 = 0
So a = 1, b = -1, c=-306
using the quadratic equation:
x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a}
x = \frac{1 + \sqrt{1 - (4 \times 1 \times - 306)} }{2} \\ x = \frac{1 + \sqrt{1 - ( - 1224)} }{2} \\ x = \frac{1 + \sqrt{1225} }{2} \\ x = \frac{1 + 35}{2} \\ x = \frac{36}{2} \\ x = 18
8 0
3 years ago
Read 2 more answers
I need help with this
Anna11 [10]
Heyy!
Here’s ur answer, hope it helps-
Area of parallelogram= base*heigh
=15*20
=300
Therefore your answer is 300 square units-
:)
3 0
3 years ago
Find 136.7% of 301. Round to the nearest hundredth.
goldenfox [79]

Answer:

138.7% of 301 would be 411.467 but when we round it to the nearest hundredth it would be 411.47 your welcome

Step-by-step explanation:

8 0
2 years ago
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