1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
12

Show work for this scientific notation

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

\frac{5.1*10^{-2}}{4.57*10^{-4}} \\=\frac{5.1*10^{2}}{4.57} \\=\frac{5.1}{4.57}*10^{2}\\=1.1*10^{2}

The answer is rounded to the nearest tenth.

You might be interested in
Solve for the base of a triangle where the height is 16cm and area is 104 cm2. What is the base?
Arturiano [62]

Answer:

13cm

Step-by-step explanation:

104 × 2 = 208

208 ÷ 16 = 13cm

(13 × 16) ÷ 2 = 104cm²

6 0
3 years ago
Read 2 more answers
Determine if the sides form a right triangle.
Law Incorporation [45]

Answer:

Yes, it's a right-angle triangle

Step-by-step explanation:

3 root 2 is 4.24

3 root 3 is 5.2

3 root 5 is 6.71

3 root 5 is the longest side, so must be the hypotenuse.

a^2 + b^2 = c^2

(3 root 3)^2 + (3 root 2)^2 = c^2

45 = c^2

Square root both sides

C = root 45

( simplified to C= 3 root 5)

Thus, it is a right-angle triangle.

(Root means a square root)

Hope this helps!

3 0
2 years ago
Alicia´s gross monthly pay is 1,700. Alicia pays 1.25% of her monthly salary for Medicare. how much dose she pay
loris [4]

Answer:

$21.25

Step-by-step explanation:

1700 x 1.25% = 1700 x 0.0125 = 21.25

So Alicia's paying $21.25 of her monthly salary to Medicare.

4 0
3 years ago
Read 2 more answers
Find the measure of Angle 3. measure of angle 1 = x measure of angle 2 = x-6
ipn [44]
Part A:<span> What is the mean of the data? Show your work. (4 points)</span>

Part B:<span> Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

</span>
5 0
3 years ago
50 POINTS!
Furkat [3]

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

   times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

   times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

 1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

  are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

   times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

 surface area we multiply each two dimensions for the six faces

 and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

  is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

 4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

 the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

3 0
3 years ago
Other questions:
  • Suppose that five in eight couples disagree on a particular matter.What percent of couples disagree on the matter
    5·2 answers
  • Find the percent increase from 48 to 60
    13·1 answer
  • If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker.
    14·1 answer
  • What are the next two terms in the pattern 3,6,5,10,9,18,17
    13·1 answer
  • Which graph represents the function f(x)=−3x−2?
    12·1 answer
  • Plz help I’m being timed!!!!
    12·1 answer
  • What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?
    15·1 answer
  • Question 6
    9·1 answer
  • What is the solution of the system of equations shown in the graph?
    8·1 answer
  • Please answer question below asap!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!