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Leya [2.2K]
2 years ago
8

The three angles of a triangle are presented as the

Mathematics
1 answer:
jeka942 years ago
5 0

Answer:

Step-by-step explanation:

4x+6x+2x=180

12 x=180

x=180/12=15

angles are 4×15=60°,6x=6×15=90°,2x=2×15=30°

so angles are 60°,90°,30°

it is a right angled triangle.

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G(x)=-3X-1<br>What is g(10)?_​
Kazeer [188]

Answer:

-31

Step-by-step explanation:

g(x) = -3x - 1

g(10) = -3(10) - 1

g(10) = -30 - 1

g(10) = -31

4 0
3 years ago
The radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m
DanielleElmas [232]

The radius of the sphere decreases at the rate of 6 m/ sec

That is, \frac{dr}{dt}=-6

Surface Area of the sphere of radius r is given by S=4\pi r^2

Differentiating with respect to t,

\frac{dS}{dt}=4\pi (2r)\frac{dr}{dt}=8\pi r\frac{dr}{dt}

\frac{dS}{dt}=8\pi (20)^2(-6)=-960\pi \: m^2/sec

8 0
4 years ago
Good evening! Can you please help me solve this.
Stella [2.4K]

Answer:

BCA = 65

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

\frac{d}{dx}\cdot f(x)

Now the sum of the 2 functions is shown below

y=f(x)+g(x)

Diffrentiating both sides with respect to 'x' we get

\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

\frac{dy}{dx}

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0
3 years ago
Someone pls help me i can’t pass this quiz lol
Sophie [7]

Answer:

60ft

Step-by-step explanation:

h x 20 = 120

h=120/20

h=60

8 0
3 years ago
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