A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Answer:

take 72 degree as reference angle

using cos rule

cos 72=b/h

0.30=6/x

0.30x=6

x=6/0.30

x=20

Step-by-step explanation:

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

8

Step-by-step explanation:

If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

Answer:

Vincent Van Gogh

Step-by-step explanation:

He was the artist who cut off his ear in 1888 in December I think...

I hope this helped :))

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°

Answer:

8.50

Step-by-step explanation:

Answer:260000

Step-by-step explanation:

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

Answer:

if the 'a base' is 6.5 & the height is 9 & 'b base' is 18.5, the answer is a = 112.5 cm^3

Answer:

4

Step-by-step explanation:

1+1+1+1=4

Answer:

wow, hardest question I've ever answered! It's either 4 or 22, I can't decide

Step-by-step explanation:

Answer:

7064

Step-by-step explanation:

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Answer: 343

hope this helps

Answer:

answer is 3^2

hopefully this helps someway