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NikAS [45]
3 years ago
12

What is 630 in simplest radical form?

Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
3 radical 70. 9 times 70 is 630, 9 squared is 3.
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Derek's math teacher put some candy in a brown paper bag. The bag contains 4 lemon, 6 lime, 8 cherry, 2 pineapple, 5 orange, and
kolbaska11 [484]

Answer:

Even though 14 candies were gone there still is a very low change of getting pineapple. out of 12 candies 2 are pineapple.

Step-by-step explanation:

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3 years ago
What is the distance between the points (4,5) and (10,13) on a coordinate plane?
Readme [11.4K]
The distacne between the points (x1,y1) and (x2,y2) is
D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
so the distance between (4,5) and (10,13) is
well, first
x1=4
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x2=10
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D=\sqrt{(10-4)^2+(13-5)^2}
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7 0
2 years ago
An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final
Travka [436]

Answer:

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7 0
3 years ago
Find X AND Y! pleas help me! only reply if you KNOW IT thank you
lawyer [7]

The measures of the legs of the right triangle are:

X = 2.5

Y = 4.3

<h3>How to find the values of x and y?</h3>

In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.

To find the values of X and Y (the legs of the triangle) we can use the two relations:

Sin(a) = (opposite cathetus)/(hypotenuse)

Cos(a) = (adjacent cathetus)/(hypotenuse)

In this case, we have:

a = 30°

hypotenuse  = 5

opposite cathetus = X

adjacent cathetus = Y.

Replacing that in the relations we get:

Sin(30°) = X/5

Sin(30°)*5 = X = 2.5

cos(30°) = Y/5

cos(30°)*5 = Y = 4.3

Learn more about right triangles:

brainly.com/question/2217700

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4 0
1 year 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
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