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miskamm [114]
3 years ago
14

What is the value of x?

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
100 + x-4 +3x =180
x = 21
hope it help
Mekhanik [1.2K]3 years ago
6 0
Put all the angles = 180 (for a triangle's sum is 180 degrees)

x - 4 + 100 + 3x = 180

Add numbers (& common variables) together

3x + x + 100 - 4 = 180

4x + 96 = 180

isolate the x, subtract 96 from both sides

4x + 96 (-96) = 180 (-96)

4x = 180 - 96

4x = 84

isolate the x, divide 4 from both sides

4x = 84

4x/4 = 84/4

x = 84/4

x = 21°

hope this helps
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How many quarters are thee in 4 1/2​
Neko [114]

Hi there!

quarter:18

<u><em>1.Find common denominator in 4 and 1/2:</em></u>

<u><em /></u>4=\frac{1}{4}<u><em /></u>

<u><em /></u>\frac{1}{2}=\frac{2}{4}<u><em /></u>

<u><em>2.Convert 4 2/4 into mixed number:</em></u>

<u><em /></u>4\frac{2}{4}=\frac{18}{4}<u><em /></u>

<u><em>3.Divide 18/4 by 1/4:</em></u>

<u><em /></u>\frac{18}{4}*\frac{1}{4}=18<u><em /></u>

Therefore, there is 18 quarters in 4 1/2.

4 0
2 years ago
Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0
2 years ago
LoneWolves or anyone plz help me with this math question! I promise I'll mark u brainliest for the absolute right ANSWER
jeyben [28]

Answer:

8 ft^2

Step-by-step explanation:

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A= \frac{(3ft)(h2)}{2}

area of ABC is 18 square ft, then

h2 = \frac{(area)(2)}{3ft} = \frac{(18 ft^2)(2)}{3ft} =12ft

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Step-by-step explanation:

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Step-by-step explanation:

 

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