Area of equilateral triangle with a perimeter of 96?

9514 1404 393

Answer:

  -49/4

Step-by-step explanation:

The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.

The product being sought is (7/2)(-7/2) = -49/4.

Answer: -49/4

Step-by-step explanation:

First set up two equations; a primary and a secondary equation.

Primary: P=xy

Secondary: x=7+y

Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.



Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2

Finally substitute y value into the secondary equation and solve for x:

x = 7 - 7/2

= 14/2 - 7/2

= 7/2



Multiply the two values together: -7/2 * 7/2 = -49/4

Answer:

The answer is 65

Step-by-step explanation:

Formula for triangle: b x h x 1/2

base= 13cm  height= 10cm

13 x 10 x 1/2 =65

The area of the green triangle is 65.

Answer:

E. 16

Step-by-step explanation:

Perimeter of the triangle = 4x+4x+(x+7)

Perimeter of square = 4(x+3)

We know that the perimeters are equal so we can form an equation to solve for x:

9x+7 = 4x + 12

Now we can subtract 4x from both sides to move the xs to the left side, and the same with the 7 so we have the variable on one side and the constant on the other:

9x+7-7-4x=12+4x-4x-7

5x = 5

Now we divide both sides by 5 to get:

5x/5 = 5/5

x = 1

Now we can use this value to figure out the perimeter of the triangle:

P = 9x + 7

x=1, substitute into equation:

P = 9(1) + 7

P = 16

Hope this helped!

Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

10 -2.95 = 7.05

the scarf cost $ 7.05

Answer:

4456646

Step-by-step explanation:

its that bc we add

Answer: (a)

Step-by-step explanation:

Given

angle is [tex]270^{\circ}[/tex]

Sine and cosine at this angle is

[tex]\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0[/tex]

Put the values in the identity [tex]\sin ^2\phi +\cos^2 \phi=1[/tex]

[tex]\Rightarrow (-1)^2+(0)^2=1[/tex]

The same thing is depicted by option (a)

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ5

Answer:

Answer is 0.25.

Step-by-step explanation:

3/3=1

1/4=0.25

Have a nice day!

and can I maybe have brainliest? Thanks!

WOW This is my 150th answer!!!

Answer:

[tex]q = 7[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation

[tex]p =2; q = 21[/tex]

Required

Find q when [tex]p = 6[/tex]

[tex]p\ \alpha\ \frac{1}{q}[/tex]

This becomes

[tex]p = \frac{k}{q}[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = p * q[/tex]

Substitute [tex]p =2; q = 21[/tex]

[tex]k = 2 * 21[/tex]

[tex]k =42[/tex]

When [tex]p = 6[/tex], we have:

[tex]p = \frac{k}{q}[/tex]

[tex]6 = \frac{42}{q}\\[/tex]

Make q the subject

[tex]q = \frac{42}{6}[/tex]

[tex]q = 7[/tex]

Answer:

8600 litre×235 will be there in the tanks

Answer:

We can conclude that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Please mark as brainliest.

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The volume of the bedroom:

9 * 5 * 7 = 315 cubic feet

The volume of the den:

(9*2) (5*2) (7*2)

18 * 10 * 14 = 2,520

2,520/315 = 8

Answer:

One and fourteen fifteenths

Step-by-step explanation

4/5 (2 15/2)

4/5 (29/12)

29/15=1 14/15

Answer:

Equation: 45 - 21 = s

The second answer is 24.

You can check by adding 24 + 21 which is 45.

Answer:

h = 12 cm

Step-by-step explanation:

Given that,

The area of the can of a soup, A = 354.2 cm²

Radius of the can, r = 4.7 cm

We need to find the height of the can. The formula for the volume of a cylinder is given by :

[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]

So, the height of the can is equal to 12 cm.

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)

Answer:

Let the correct number be x.

therefore,

x - 6.5 = 79.4

Answer:

2025 is the answer

Step-by-step explanation:

Answer:

1,810 hope this helps ;)

Answer:

1810

Step-by-step explanation:

lol, did I get trolled?

Answer:

5+12x-3 = 14

12x = 14 -5+3

12x = 12

x = 1

Answer:

X=1. I did mental math. I am sure.

Answer:

6

Step-by-step explanation:

12/2=6

Hope it helps......

Answer:

Difference in large and small numbers, higher or smaller value.

Answer:

The range is the difference between the largest and smallest numbers. If you are talking in math.

Example 1: 1, 2, 5, 6, 7

so the smallest number is 1 and the largest number is 7 so 7-1=6

The range is 6.

Example 2: 16, 19, 10, 17, 42

now we have a data set that is not in order. First step is to order them:

10, 16, 17, 19, 42

Next take the smallest and largest number and subtract them: 42-10=32

The range is 32.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

Answer:

380 I belive! :))

Step-by-step explanation:

Correct me if I'm wrong! ((:

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

Step-by-step explanation:

we can use it to solve age problems and Money problems e.t.c