4 (x+2)=2 (x+3)+2 (x-1) answer?

A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the ten

AfilCa [17]

Answer:

Step-by-step explanation:

This given situation can be thought of as triangle $\triangle PQR$ where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And $\angle Q \neq 90^\circ$

Given that:

PQ = 44 ft

PR = 51 ft

$\angle R = 58^\circ$

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ$

Now,

$\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ$

Let us use the Sine rule again:

$\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft$

So, the answer is <em>35.11 ft</em>.

3 0

3 years ago

Help please!!!!!!!!!

In-s [12.5K]

ANSWER

24

EXPLANATION

For a matrix A of order n×n, the cofactor $C_{ij}$ of element $a_{ij}$ is defined to be

$C_{ij} = (-1)^{i+j} M_{ij}$

$M_{ij}$ is the minor of element $a_{ij}$ equal to the determinant of the matrix we get by taking matrix A and deleting row i and column j.

Here, we have

$C_{11} = (-1)^{1+1} M_{11} = M_{11}$

M₁₁ is the determinant of the matrix that is matrix A with row 1 and column 1 removed. The bold entries are the row and the column we delete.

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \end{aligned}$

Since the determinant of a 2×2 matrix is

$\det\left( \begin{bmatrix} a & b \\ c& d \end{bmatrix} \right) = ad-bc$

it follows that

$\begin{aligned} A=\begin{bmatrix} \bf 1 & \bf -6 & \bf -4\\ \bf 7 & 0 & -3 \\ \bf -9 & 8 & -8 \end{bmatrix} \implies M_{11} &= \text{det}\left(\begin{bmatrix} 0&-3 \\ 8&-8 \end{bmatrix} \right) \\ &= (0)(-8) - (-3)(8) \\ &= -(-24) \\ &= 24 \end{aligned}$

so $C_{11} = M_{11} = 24$

4 0

3 years ago

(GIVING BRAINLIEST!!)

melomori [17]

Answer:

your answer is gonna be "A" if you want to type 1/14 into the calculator.

8 0

3 years ago

Read 2 more answers

Which statement best describes Georgia’s Barrier Islands?

NemiM [27]

The statement that best describes Georgia’s Barrier Islands is; A: They protect the coastline during storms.

<h3>What is the correct statement about the place?</h3>

Barrier islands are called “barrier islands” due to the fact that they are good means of creating barrier between the mainland and the ocean.

Now, these barrier islands tend to shelter and protect the mainland from the powerful forces of wind, waves, and other natural disasters. This they do by;

Sheltering the estuaries that form behind the barriers.

Allowing marshes to build up in the quiet waters of the sound.

Filtering of the pollutants that come in from mainland rivers by the marshes.
Providing valuable habitats for water animals and others in that ecosystem.
Serve aesthetic purposes

Barrier islands are a very much valuable resource. Despite the fact that they constantly change and may become badly eroded, they can still rebuild if left alone.

Thus, we can conclude that statement best describes Georgia’s Barrier Islands is that they protect the coastline during storms.

Read more about Correct statement at; brainly.com/question/25800832

#SPJ1

4 0

2 years ago

A repeating decimal + A fraction

AysviL [449]

Answer:

3.33333333333+1/3=3.6666666666666666

7 0

3 years ago

Read 2 more answers