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allochka39001 [22]
3 years ago
7

Find the cubes of the following numbers: a) 21 b) 55 c) 302

Mathematics
1 answer:
otez555 [7]3 years ago
7 0

Answer:

a)9261

b)166375

c)27543608

Step-by-step explanation:

21 x 21 x 21 = 9261

55 x 55 x 55 = 166375

302 x 302 x 302 = 27543608

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A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
3 years ago
Find the measure of <_A. (show work if possible).
Sholpan [36]

Answer:

<em>We </em><em>know </em><em>that </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite </em><em>interior </em><em>angle</em><em>.</em>

Step-by-step explanation:

<A = 4y

< B = 3y + 6°

<BCD = 111°

Now

<BCD = <A + <B( exterior angle of a triangle is equal to the sum of two opposite interior angle)

111° = 4y + 3y + 6°

111° - 6° = 7y

105° =7y

Therefore y = 15°

The measure of <A = 4*15°= 60°

4 0
3 years ago
At what time does the football hit the ground?? Please help
zimovet [89]
It depends on how fast it was thrown/kicked but the average is around 9/10
6 0
3 years ago
PORFAVOR ALLUDENME :( El estanque de combustible de un automóvil contiene x litros de gasolina, se consumen 25 litros en un prim
stellarik [79]

Responder:

c. x menos 25 menos estilo en línea fracción 4 entre 19 fin estilo paréntesis izquierdo x menos 25 paréntesis derecho igual 3

Explicación paso a paso:

Dado lo siguiente:

Cantidad original de gasolina en el tanque de combustible = x

Gasolina consumida en el primer viaje = 25 litros

Gasolina restante después del primer viaje = (x - 25) litros

Gasolina consumida en el segundo viaje = 4/19 de lo que queda, es decir;

(4/19) * (x - 25)

Gasolina restante después del segundo viaje = 3 litros

Cantidad inicial - cantidad consumida en el primer viaje - 4/19 de la cantidad restante después del primer viaje = 3

La gasolina que queda después del segundo viaje se puede modelar mediante la ecuación:

x - 25 - 4/19 (x - 25) = 3

3 0
3 years ago
PLEASE HELP!!! I need the answer and the work to go along with it.
Masja [62]
----------------------------------------------------------------------------------------------------
Check the picture attached.

the secants of the circle, BA and DC, intersect at point P, as shown.

i)
let m(P)=a

ii)
let m(CDA)=b, then the measure of ar CA is 2b, as "the measure of an inscribed angle is half the measure of the arc it intercepts"

iii)
m(DAB)= m(P)+m(CDA)= a+b, as DAB is an exterior angle of the triangle PAD.

iv)
then the measure of arc DB is 2m(DAB)=2(a+b)=2a+2b

v)
m(P)= \frac{(2a+2b)-2b}{2}= \frac{m(DB)-m(CA)}{2}

This is always true,
----------------------------------------------------------------------------------------------------

In our problem, there is a slight difference, we have 1 secant and one tangent, but it is just a special case and nothing changes.

As an exercise, we can repeat the steps of the general proof, by first joining U and T.
----------------------------------------------------------------------------------------------------

by the theorem we just proved,

m(R)=(m(TU)-m(SU))/2

30°=(100°-m(SU))/2

60°=100°-m(SU)

m(SU)=40°

5 0
3 years ago
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