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2 years ago

Find the product. (-5a ^2)^3·a ^5 A)-15a10 B)-125a11 C)15a6 D)-125a10

Mathematics

2 answers:

Ber [7]2 years ago

5 0

Answer:

B) -125a^11

Step-by-step explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

= (-5)^3·a^(2·3)·a^5

= (-5)^3·a^6·a^5

= -125·a^(6+5)

= -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

seropon [69]2 years ago

3 0

Answer:

B) -125a^11

Step-by-step explanation:

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PLEASE HELP

Virty [35]

<u>Answer-</u>

$\boxed{\boxed{\dfrac{\widehat{BC}}{\widehat{DE}}=\dfrac{3}{4}}}$

<u>Solution-</u>

We know that arc length is the product of radius and central angle in radian.

i.e $\text{Arc length}=\text{Radius}\times \text{Central angle}$

Here,

$\theta_{BC}=1.18\ rad,\ \theta_{DE}=2.36\ rad\\\\AD=\dfrac{2}{3}AB\Rightarrow AB=\dfrac{3}{2}AD$

So,

$\dfrac{\widehat{BC}}{\widehat{DE}}=\dfrac{AB\times 1.18}{AD\times 2.36}$

$=\dfrac{\frac{3}{2}AD\times 1.18}{AD\times 2.36}$

$=\dfrac{3\times 1}{2\times 2}$

$=\dfrac{3}{4}$

4 0

3 years ago

What is the root of 75

il63 [147K]

Answer:

8.66

Step-by-step explanation:

7 0

3 years ago

Three numbers have a sum of 68. The second number is 1 less than twice the first. The third number is three times the second. Wh

Vesnalui [34]

Answer:

First number: 71/7

Second number: 135/7

Third number: 270/7

Step-by-step explanation:

First number = x

Second number= 2x-1

Third number= 2(2x-1)

x+(2x-1)+2(2x-1)= 68

3x-1+4x-2=68

7x-3=68

7x=71

x=71/7

You can check by plugging in the x into the equation.

4 0

3 years ago

a helicopter is flying at 150mph on a course with a bearing of 130°. If the helicopter experiences a crosswind blowing southeast

romanna [79]

150-25=125mph

130-25=105

This means it was going 125mph and that it dropped an altitude of 25 degrees because of the wind and the slow down of the helicopter

3 0

3 years ago

Determine which postulate or theorem can be used to prove that ABC=DCB

lianna [129]

Answer with explanation:

In Δ ABC and ΔD BC

∠A=∠D-------Given

∠ABC=∠DCB-------Each being 90° given in the Diagram.

Side, BC is Common.

⇒⇒Δ ABC ≅ ΔD BC-------[AAS]

When two triangles are congruent , their areas are equal.

So, Area(ABC)=Area (DCB)

Option B :⇒ A AS

3 0

2 years ago

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