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3 years ago

On a piece of paper, graph yz 2x - 3. Then determine which answer choice

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

A.(2.1)

(

B.(0.3

C.2.1)=0.3 graft

D.Yto Z =1

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Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7

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4 years ago

HELP ME OUT! A 15 foot ladder rests against a tree on level ground and forms a 75° angle of elevation. Where is the correct loca

mash [69]

Answer:

D. Between the ladder and the ground

Step-by-step explanation:

The 75° is made by the ladder leaning on the tree. So the angle would be from the ground up to the ladder.

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3 years ago

The fraction 24/5 lies between which 2 whole numbers?

defon

The two numbers it lies between are 4 and 5

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2 years ago

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A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 13 inches. Find the volume of the bowl. Use 3.14 for p

Alexus [3.1K]

Answer:

575in³

Step-by-step explanation:

Volume for a Sphere = 4/3πr³

Radius = 13/2 = 6.5

4/3(3.14)(6.5³) = 1149.763333

Because it's half a sphere, just divide by 2

1149.763333/2 = 574.881667

Rounded to the nearest cubic inch = 575

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3 years ago

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.

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3 years ago