Solve for the unknown side of each right triangle

Step-by-step explanation:

Given that:

[{5² × 6²}/{(30)⁴}]³

⇛[{5² × 6²}/{(5 × 6)⁴}]³

⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]

⇛[{5²/5⁴} × {6² × 6⁴}]³

⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]

⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]

⇛[(5×6)^-2]³

⇛[30^-2]³

⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]

⇛30^-6. [∵(a^-ⁿ = 1/a^n]

⇛1/(30)⁶ ≈ 72 90 00 000 Ans.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

answer down below:

https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard

Step-by-step explanation:

Answer:

4, 7.5

Step-by-step explanation:

4. (x+6)(x+10)=140 ->

x=4

5. 550 = 8(x-2)(x+5) ->

x=15/2=7.5

Hope that helps! :)

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

Refer to the attachment

Soo :

2a + 3b = 325

2a + 7b = 505 -

-4b = -180

4b = 180

b = 45

[tex] \: [/tex]

2a + 3b = 325

2a + 3(45) = 325

2a + 135 = 325

2a = 325 - 135

2a = 190

a = 95

Given Polynomial P(x) = x^3+4x^2-px+8

Given that P(x) is exactly divisible by (x-2) then by

factor theorem it is a factor and P(2) = 0

⇛ (2)^3+4(2)^2-p(2)+8 = 0

⇛8+4(4)-2p+8 = 0

⇛ 8+16-2p+8 = 0

⇛ 32-2p = 0

⇛32 = 2p

⇛ 2p = 32

⇛ p = 32/2

⇛ p = 16

Answer:- The value of p is 16.

Read more:

Similar Questions

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...

https://brainly.com/question/12852511?referrer

Answer:

16.

Step-by-step explanation:

By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:

f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0

-2p + 32 = 0

p = 16.

Answer: um i think 300

Step-by-step explanation:

Answer:

C , 18

Step-by-step explanation:

Answer:

The sum of the exterior angles of a polygon is always 360°.

Therefore,

[tex]x+2x+3x+5x+9x=360[/tex]

[tex]20x=360[/tex]

Divide both sides by 20:

[tex]\frac{20x}{20}=\frac{360}{20}[/tex]

[tex]x=18[/tex]

Answer:

y = 5x - 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line

Answer:

9:16.

Step-by-step explanation

The scale factor is  ∛27:∛64

= 3:4.

So the ratio of the curved areas = 3^2:4^2

= 9:16.

Answer:

You are correct

Answer:

64/1 . 5/3

320/3

106.666666?

Answer:

£24 and £40

Step-by-step explanation:

To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.

£64 / 8 = £8

3 * £8 = £24

5 * £8 = £40

Answer:

See below:

Step-by-step explanation:

As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.

Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:

+ Supplementary Angles are angles that add up to 180 degrees

+ Complementary Angles are angles that add up to 90 degrees.

So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.

Cheers!

Answer:

Attempt 4, Attempt 6, Attempt 7

Answer:

The correct answer is 33.4516

Approximately it is 33.452

Answer:

360

Step-by-step explanation:

Because an exterior angle equal to 1 the total number of sides is equal to 360°.

Answer:

2.5

Step-by-step explanation:

Length of CB is 5

so we can take CF which is the midpoint and divide that by 2 since its split

Answer:

7/12

Step-by-step explanation:

Answer:

B. b = mt/v

Step-by-step explanation:

b/t = m/v

bv = tm

b = tm/v

Answer:

There is no way of finding out.

Step-by-step explanation:

Answer:

$162.75

Step-by-step explanation:

150 * 1.085 = 162.75

Answer:

The sale price of the doll is $30.6

Step-by-step explanation:

The original price of the doll

= $36

Discount:-

= 15% of 36

= 15%×36

= 15/100×36

= 5.4

Sale price of the doll

= original price - discount

= $(36 - 5.4)

= $30.6

Answer:

b even though you made this hard to read lol, its b

Step-by-step explanation:

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

Answer:

1 mile

Step-by-step explanation:

1 hour = 3 miles

20 minutes is 1/3 of an hour, so he walks 1 mile

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

Answer:

64 cm^2

Step-by-step explanation:

First we find the area of the central square: 4^2=16 cm^2

Then we can find the area of the 4 other triangles: 6*4*1/2*(4)->(There are 4 triangles)

We get 48+16, which is 64 cm^2