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Shalnov [3]
3 years ago
6

Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a2?

Mathematics
1 answer:
const2013 [10]3 years ago
4 0
You can use the Law of Cosines (a^2=b^2+c^2-2bc cosA)

a^2=4^2+4^2-2*4*4*cos45°

a^2=32-32cos45°

a^2=32(1-cos45°)

a=√(32(1-cos45°))

a≈3.06 units (to nearest hundredth of a unit)
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Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
liberstina [14]

The standard form of a line:

Ax+By=C

We have the equation of a line in the slope-point form:

y-3=\dfrac{1}{2}(x+6)      use distributive property

y-3=\dfrac{1}{2}x+3       add 3 to both sides

y=\dfrac{1}{2}x+6        multiply both sides by 2

2y=x+12       subtract x from both sides

-x+2y=12      change the signs

x-2y=-12

4 0
4 years ago
Please Help
xxMikexx [17]

Answer:

degree of length = 1

degree of width = 1

degree of height = 3

degree of volume = 4

Step-by-step explanation:

V = (4x - 1)( x)(x³) = (4x² - x)x³ = 4x∧5 - x∧4

dV/dx = 20x∧4 - 4x³  

d²V/dx² = 80x³ - 12x²

80x³ - 12x² = 0

4x²(20x - 3) = 0

20x - 3 = 0

20x = 3

∴ x = 3/20

Length, 4x - 1 = 4 (3/20) - 1 = 3/5 - 1 = -2/5

∴ degree of length = 1

Width, x = 3/20

∴ degree of width = 1

Height, x³ = (3/20)³ = 27/8000

∴ degree of height = 3

Volume, 4x∧5 - x∧4 = 4(3/20)∧5 - (3/20)∧4 = 4(243/3200000) - (81/160000) = 243/800000 - 81/160000 = (243 - 405)/800000 =               - 162/800000 = - 81/400000

∴ degree of volume = 4

5 0
3 years ago
Read 2 more answers
Please help will give 10 points!!!
AlexFokin [52]

Answer:

m = variables

+4 = Coefficients

-7 = Coefficients

and 2 and 6 are Constants

Hope this helps!

Step-by-step explanation:

4 0
2 years ago
Is not b please someone help me
Advocard [28]
√j+√j+14=3√j+10
2√j+14=3√j+10
minus 2√j both sides
14=√j+10
minus 10 both sides
4=√j
squaer both sides
16=j

answer is D, 16
8 0
4 years ago
Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the
Nitella [24]

Answer:

The solution to this system is (4, 1/6).

Step-by-step explanation:

Please separate these two equations for clarity.  I like to write them in column format:

2.5y + 3x = 27

5x – 2.5y = 5

---------------------

8x           = 32, and x = 4.

Subbing 4 for x in the second equation yields 5(4) - 2.5y = 5.

Then 20 - 2.5y = 5, or 15 = 2.5y.  Solving for y, we get y = 1/6.

The solution to this system is thus (4, 1/6).

5 0
3 years ago
Read 2 more answers
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