All categories

2 years ago

Which of these expressions represent solutions to the equation y3 = 64?

Mathematics

2 answers:

Rashid [163]2 years ago

4 0

Answer:

4, ∛64, -∛64

explanation:

they all mean the same thing

patriot [66]2 years ago

3 0

Answer:

4, ∛64, -∛64

Step-by-step explanation:

You might be interested in

2+2y = -10 6х +8y = -48 help please

irina1246 [14]

Answer:

x = 0 and y = -6

5 0

2 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.

3 0

2 years ago

Need help plzzzzzzzxzzxzx

Nesterboy [21]

Answer:

2239 grams

Step-by-step explanation:

5 0

2 years ago

Which shows the image of RST after the rotation (x, y) (y, -x)

Wittaler [7]

Answer:

Option A shows the image of RST after the rotation

Step-by-step explanation:

Coordinates of S=(1,3)

Coordinates of R = (-2,1)

Coordinates of T = (-1,7)

We are given that after rotation(x,y)→(y,-x)

So, The new coordinates after rotation will be :

Coordinates of S'=(3,-1)

Coordinates of R'= (1,2)

Coordinates of T'= (7,1)

These are the coordinates of triangle of Option A

So, Option A is true .

Hence Option A shows the image of RST after the rotation

3 0

2 years ago

Read 2 more answers

how much would it have rained each month if the total amount of rain (11 inches) was redistributed equally among the 12 months o

xeze [42]

Answer:

11/12 inch

Step-by-step explanation:

That'd be 11/12 inch per month for 12 months.

4 0

2 years ago