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3 years ago

The price of dress fabric is proportional to the length of fabric purchased. The graph shows this relationship.

Mathematics

2 answers:

Helga [31]3 years ago

5 0

C. $8/1 m
the y axis (going up) is price.the x axis (going to the left) is the length.
the 1st point is the unit rate. 1 meter is $8, 2 meters is $16. 3 meters is $24...and so on.
the unit rate wont work with all graphs this is a lucky problem. reading this graph is still the same tho.

professor190 [17]3 years ago

4 0

C. 8$/m. The rate is the same as the slope. To find the slope, we find "rise over run," or the change in the height/change in length (OR, change y/ change x)
The change in y is 24-8=16
The change in x is 3-1=2

16/2= 8$/1 m. This is the unit rate because it describes the change in y over ONE UNIT of x.

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Answer:

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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:

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