All categories

3 years ago

Find the length of the segment indicated.

Mathematics

2 answers:

artcher [175]3 years ago

5 0

Answer: The length of the indicated segment is 14.45 units.

Step-by-step explanation: We are given to find the length of the indicated segment.

From the figure, we note that

A chord is bisected by the radius of the circle that makes a right-angled triangle with hypotenuse measuring 16.1 units and the other two sides measures x units and 7.1 units.

Using Pythagoras theorem, we get

$x^2+7.1^2=16.1^2\\\\\Rightarrow x^2+50.41=259.21\\\\\Rightarrow x^2=259.21-50.41\\\\\Rightarrow x^2=208.8\\\\\Rightarrow x=\pm\sqrt{208.8}\\\\\Rightarrow x=\pm14.45.$

Since x is the length of side of a triangle, so we get

x = 14.45.

Thus, the length of the indicated segment is 14.45 units.

laiz [17]3 years ago

3 0

The red square means the triangle is a right triangle so you can solve for x using the Pythagorean theorem.

x = √(16.1^2 - 7.1^2)

x = √(259.21 - 50.41)

x = √208.8

x = 14.4499

Rounded to the nearest tenth x = 14.4

You might be interested in

5/7 in simplest form

ludmilkaskok [199]

It is already in simplest form

5 0

3 years ago

Read 2 more answers

Here take meh points but you must answer who is better tododeku or kasukideku

Lana71 [14]

i like both but tododeku

7 0

3 years ago

Read 2 more answers

Please help me with this problem

weqwewe [10]

Answer:

<em>The measures of angles A, B, and C are respectively 21°, 125°, and 34°</em>

Step-by-step explanation:

<u>Equations</u>

We are given some conditions applying to the internal angles on a triangle ABC.

The measure of angle A is 13 less than the measure of angle C.

The measure of angle B is 11 less than 4 times the measure of angle C

Let x = measure of angle C

The first conditions states:

$m\angle A = x-13$

The second conditions states:

$m\angle B = 4x-11$

The sum of all angles must be 180°, thus:

$x - 13 + 4x - 11 + x = 180$

Simplifying:

6x -24 = 180

Adding 24:

6x = 204

Dividing by 6:

x = 204/6

x = 34

$m\angle C = x = 34^\circ$

$m\angle B = 4x-11 = 4*34-11 = 125^\circ$

$m\angle A = x - 13 = 34 - 13 = 21^\circ$

The measures of angles A, B, and C are respectively 21°, 125°, and 34°

6 0

3 years ago

On a coordinate plane, a curved line with a minimum value of (negative 1.25, negative 3.25) and a maximum value of (0.25, negati

soldier1979 [14.2K]

The statement which is true about the end behavior of the graphed function is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

A coordinate plane is a two dimensional plane formed by the intersection of two number lines . One of these number lines is a horizontal number lines called the x-axis and the other number line is a vertical number line called the y-axis.

The exact answer is third option that is as the x-values go to negative infinity, the function's values are equal to zero.

Step by step explanation:

Minimum value (negative 1.25, negative 3.25)

Maximum value of (0.25, negative 1.75)

The x intercepts where the graph crosses the x axis.

Value of x when y=0 crosses x axis at (negative 2.25, 0)

The y intercept are where the graph crosses the y axis.

Value of y when x=0 crosses y axis at (0, negative 2)

The line exits the plane at (negative 2.75, 6) and (1.5, 6).

It can be seen from the coordinates that as the x-values go to negative infinity, the function's values are equal to zero, the coordinates of y approaches zero.

Learn more about coordinates from:

brainly.com/question/17206319

#SPJ10

8 0

2 years ago

Iris is a botanist who works for a garden that many tourists visit. the function f(s) = 2s + 25 represents the number of flowers

7nadin3 [17]

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.

Given that:

f(s)=2s+25

s(w)=25w

The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)

f(s)=2s+25

Replace s with s(w)

f(s(w))=2(s(w))+25

Substitute (w)=25w

f(s(w))=2(25w)+25

f(s(w))=50w+25

Hence:

f(w)=50w+25

The units of the measurement of f(w) are flowers

The number of flowers for 30 weeks means:

w=30

So, we have:

f(w)=50w+25

f(30)=50 * 30+25

f(30)=1525

Hence, the number of flowers for 30 weeks is 1525

Learn more about composite functions here:brainly.com/question/10687170

#SPJ4

5 0

2 years ago