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2 years ago

The lengths of two sides of a triangle are shown below:

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

6 0

Part A

$3x^2 -2x-1+9x+2x^2 -3=\boxed{5x^2 + 7x-4}$

Part B

$(5x^3 +4x^2 - x-3)-(5x^2 + 7x-4)=\boxed{5x^3 - x^2 - 8x+1}$

Part C

No, because although they provide examples for specific polynomials being closed under addition and subtraction, there is a loss of generality.

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LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

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2 years ago

an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

b - base

h - height

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ subtract 25 from both sides

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

8 0

3 years ago

White raven [17]

Number 8 is. 2 • f + 9

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2 years ago

Raja drew a circle and labeled the center S. He used the expression 12. to find the

Aleonysh [2.5K]

Answer:a

Step-by-step explanation:

5 0

3 years ago

The volume of the plastic cylinder is 64. A glass cylinder has the same height and radius is half of the plastic cylinder radius

sp2606 [1]

Answer:

I am not sure if I'm correct, but I got 16

Step-by-step explanation:

lets look at the formula for cylinder volume:

V=π*r^(2)*h

now, lets plug in 64

64=π*r^(2)*h

h=64/(π*r^(2))

Volume of glass cylinder is

V=((0.5r)^2)*(64/(π*r^(2)))*π

V=0.25π*r^(2)*(64/(π*r^(2)))

V=16π*r^(2)/(π*r^(2)

V=16

8 0

3 years ago