How many roots or zeros does the equation
f(x) = 5x4-8x3+4x2-6x+3 have?

Given:

Height of a cone is 30cm, its slant height is 34 cm.

To find:

The radius of the cone.

Solution:

Using the Pythagoras theorem, the relation between Height, radius and slant height is

[tex]r^2+h^2=l^2[/tex]

[tex]r^2=l^2-h^2[/tex]

Where, r is radius, h is height and l is the slant height.

Putting the given values, we get

[tex]r^2=(34)^2-(30)^2[/tex]

[tex]r^2=1156-900[/tex]

[tex]r^2=256[/tex]

Taking square root on both sides.

[tex]r=\pm\sqrt{256}[/tex]

[tex]r=\pm 16[/tex]

Radius cannot be negative. So, r=16 cm.

Therefore, the correct option is b.

Answer:

ANGLE BAC= 80°, hope it helps you thanks.

Answer:

28/3

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

1/3 * 28 = 28/3

I hope this helps xx

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Answer:

x=10

y=11.66

Step-by-step explanation:

8^2+6^2=x^2 and then you take the root

Same goes for the second question

a^2+b^2=c^2

Answer:5.2 x 10-1

Step-by-step explanation:hope i could help ;)

Answer:        

Correct Answer D.

a × c = 11, b = 10

10 × 1 = 10

10 + 1 = 11

Divide the ten and 1 by 2

(x = 2) (2x+1)

Step-by-step explanation:

Answer:

a c and d

Step-by-step explanation:

Im on that to, maybe i can help you !! :)

Answer:

A, C, D I think

Step-by-step explanation:

Hope this helps and feel free to answer my recent question ! :)

Answer: (1, 7)

Step-by-step explanation:

When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)

(7, 1) to (1, 7)

Answer:

positive

Step-by-step explanation:

Answer:

x^2y^4

Step-by-step explanation:

8 divided by 8 = 1

x divided by x^2 = x

y^3 divided by y = y^2

(xy^2)^2 = x^2y^4

Step-by-step explanation:

(9x2 - 2x +7) +(4x2+7x +2)

9x2 - 2x +7 +4x2 +7x +2

13x2 +5x +9

Answer:

A.  13x2 + 5x + 9

Step-by-step explanation:

use math-way it helps with problems like this

Answer:

[tex]21.0 { { {1221220 = 223jn}^{n \: \: \: \: \: \: \: \: \: \: \: \: \tan( \beta \beta \beta \beta \beta \beta \pi\pi) } }^{2} }^{2} \times \frac{?}{?} [/tex]

Answer:

31° F and 67° F

Step-by-step explanation:

(a)

When t = 0 then

f(0) = 31 + [tex]\frac{0}{100}[/tex] = 31 + 0 = 31° F

(b)

When t = 10 , then

f(10) = 31 + [tex]\frac{40(10^3)}{10^3+100}[/tex] = 31 + [tex]\frac{40000}{1100}[/tex] = 31 + 36.36... ≈ 67° F

Answer:

C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}

hope it helps you

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

Answer:

Step-by-step explanation:

Slope = (-1-(-3))/(1-0) = 2

y = 2(x+3) = 2x+6

The equivalent expression for the given expression 36x + 24 is 2 (18x + 12). Option D

Algebraic expressions are defined as expressions made of mathematical operation like;

These expressions also consist of terms, coefficients, variables, factors and constants.

Factorization can be defined as a mathematical method of writing a number or mathematical element as a product of several other factors.

Note also that equivalent expressions have the s

Given the expression;

36x + 24

Factorize common term, we have

2(18x + 12)

Thus, the equivalent expression is 2(18x + 12)

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Answer:

Correct Answer

Step-by-step explanation:

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Answer:

x = 140

Step-by-step explanation:

40 * 2 + 2x = 360

80 + 2x = 360

2x = 280

x = 140

Answer:

x = 6

Step-by-step explanation:

sin 30° = 3/x

0.5 = 3/x

.5x = 3

x = 3/.5

x = 6

The indicated side of the right-angled triangle is 6.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The triangle is a right-angled triangle.

So, we know,

SinФ = perpendicular / hypotenuse.

And here, perpendicular = 3 unit

And hypotenuse = x unit

Substituting the values,

Sin30° = 3/x

1/2 = 3/x

x = 6

Therefore, the value of x is 6.

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Answer:

the second one and the fourth one

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Answer:

13/2, 6 5/9, 6.99, 6.992

Step-by-step explanation:

Answer:

Step-by-step explanation:

tanθ = 4/9

θ = arctan(4/9) ≈ 23.96°

The measure of the angle the ramp forms with the ground is :

-Angle is 23.96 degrees.

Let the angle is = x

We know that tan(x) is the slope.

tan(x)=\frac{4}{9}

tanθ = 4/9θ

tanθ = arctan(4/9)

tanθ≈ 23.96°

Learn more about slope:

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Answer:

Sqrt 245

Step-by-step explanation:

That's the answer

According to Pythagoras' Theorem

[tex]h^{2} = a^2 + b^2[/tex]

[tex]h^{2}[/tex]  [tex]= 7^{2} + 14^2[/tex]

[tex]h^{2}[/tex] = 49 + 196

h = [tex]\sqrt{245}[/tex]

According to diagram x = sqrt 245

Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.

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Answer:

17.88

Step-by-step explanation:

18- 12/ 100=

447/24=

then simplify

Answer:

20.16

Step-by-step explanation:- 12% × 18 =

- 12 ÷ 100 × 18 =

- 12 × 18 ÷ 100 =

- 216 ÷ 100 =

- 2.16