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3 years ago

Use decimal numbers to write an expression that represents the length of the walls that Valerie measured?

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

f(x)= 6.45x+23.10

Step-by-step explanation:

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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:

35.11 ft

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 35.11 ft.

3 0

3 years ago

In the linear equation y=3x-4, -4 represents the slope

damaskus [11]

3 (3/1) represents the slope and -4 is the y-intercept

4 0

3 years ago

Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t

JulijaS [17]

A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to $3y=2x-9$ will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.

You could multiply the whole thing by 4.5 to get $13.5y=9x-40.5$ . If you want, you could mix things up and write it in slope-intercept form: $y= \frac{2}{3}x-3$ . The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!

The attached graph shows that four different equations are really the same.

7 0

3 years ago

Read 2 more answers

The perimeter of the rectangle below is 74 units. Find the length of side xy.

marusya05 [52]

Bsnndnsndndnndndndndndndndn

4 0

2 years ago

Hi please help I’m rlly behind in school!!!

Butoxors [25]

Answer:

17 pounds

Step-by-step explanation:

Median:

Weights of the dogs are:

3 , 8 , 10 , 11 , 14 , 17 , 22 , 24, 25 , 35 , 40

Number of data = 11

So, median will the middle term which is the 6the term.

Median = 17

4 0

2 years ago