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3 years ago

Find the value of x - this is circle segments.

Mathematics

2 answers:

TEA [102]3 years ago

7 0

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part of the secant and the entire secant, that is

x² = 8(8 + 10) = 8 × 18 = 144 ( take the square root of both sides )

x = $\sqrt{144}$ = 12

Aleks [24]3 years ago

5 0

The answer should be x=12!

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Can you help with did pretty please I'm stuck help just a, c ,d thanks luv.

Misha Larkins [42]

Answer:

a) The slope of the function is 3.

c) The equation is represented by $n(t) = 3\cdot t + 35$ .

d) The y-intercept of the function is 35.

Step-by-step explanation:

a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:

$n(t) = m\cdot t + n_{o}$ (1)

Where:

$m$ - Slope, measured in number of pieces per minute.

$t$ - Time, measured in minutes.

$n_{o}$ - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.

$n$ - Current number of pieces of mail that must be hand-sorted, measured in pieces.

From Geometry, we know that a line can be formed by know two distinct points. If we know that $n(15\,min) = 80\,p$ and $n(45\,min) = 170\,p$ , then the following system of linear equations is formed:

$15\cdot m + n_{o} = 80$ (2)

$45\cdot m + n_{o} = 170$ (3)

The solution of the system of equations is:

$m = 3$ and $n_{o} = 35$

The slope of the function is 3.

c) By (1) and using results from a) we conclude that the equation function is:

$n(t) = 3\cdot t + 35$ (4)

d) The y-intercept of the function is 35.

5 0

3 years ago

The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base

mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height). Let's abbreviate that to A = (1/2)(b)(h). We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

(after multiplying both sides by 2)

A = 273 = b^2 + 8b

which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

-8 ± √1156 -8 ± 17

x = -------------------- = ------------ = 9/2 and -25/2

2 2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0

4 years ago

1/3 divided by 3/4 = simplified

GenaCL600 [577]

Answer:

4/9

Step-by-step explanation:

1/3 divided by 3/4

find the reciprocal of 3/4

reciprocal of 3/4 = 4/3

multiply 1/3 x 4/3 which is 4/9

4 0

2 years ago

The answer to explain how to find 4 x 8 show your work

Effectus [21]

4 multiplied by 8 would be 32. I know this because if you have one group of 8, and add 3 more, and you sat down to count, you would get 32. Also, 8 plus 8 plus 8 plus 8 is 32.

3 0

3 years ago

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Reduce to lowest terms.<br> -34/87

serious [3.7K]

That is the lowest unlest you want it in decimal form -0.390805

4 0

3 years ago

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