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Yanka [14]
3 years ago
11

Order the following list of numbers from least to greatest

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

The answer is D

29/3 = 9.6 (.6 is repeating)

√94 = 9.69

49/5 = 9.8

9.8 (.8 is repeating)

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On the way home from rug shopping, Sophia stopped and bought a rectangular cake. The bottom is not frosted, but all other sides
Brums [2.3K]

Answer:

A) Total Surface Area = 164 sq. feet.

B) Radius = 4.5 inches

C) Diameter = 9 inches

Step-by-step explanation:

A)

A rectangular prism has 6 faces. Since bottom is not covered in frosting, we only need to find area of all the 5 faces (surfaces) and sum it.

<em>The length is 8, width is 11, and height is 2 (of the cake).</em>

<em />

Hence, top surface is 8 * 11 = 88

There are 2 sides measuring 8 and 2. So area is 8*2= 16 *2 = 32

THere are other 2 sides measuring 11 and 2. So area is 11 * 2 = 22 * 2 = 44

Total surface area of the cake that has frosting = 88 + 32 + 44 = 164 sq. inches

B)

Top of the cylinder (pineapple cake) is covered in icing. Top is the shape of a circle, which has area  \pi r^2, which is given as 63.585

Solving for radius (r), we get:

\pi r^2=63.585\\r^2=\frac{63.585}{\pi}\\r=\sqrt{\frac{63.585}{\pi}}\\ r=4.5

radius = 4.5 inches

C)

The diameter is <em>twice the length of the radius</em>.

The diameter is thus D = 2 * r

D = 2 * 4.5 = 9

Diameter = 9 inches

6 0
3 years ago
Which number has a 6 that is 1/10 the value of the 6 in 527.6?
Furkat [3]

The number that has a 6 that is 1/10 the value of the 6 in 527.6 is B. 982.46.

<h3>How to illustrate the information?</h3>

It should be noted that we are to simply find the place value of the numbers.

In 527.6, the place value is 1/10.

On the other hand, in 982.46, the place value is 1/100.

Therefore, the number that has a 6 that is 1/10 the value of the 6 in 527.6 is 982.46.

Learn more about place values on:

brainly.com/question/24997908

#SPJ1

5 0
2 years ago
30 POINTS
Romashka [77]

calculating each of the products

noting that i² = (√- 1 )² = - 1

(1 + 2i)(8i) ( distribute by 8i )

= 8i + 16i² = - 16 + 8i ← complex number

(1 + 2i)(2 - 5i) ( expand using FOIL )

= 2 - 5i + 4i - 10i²

= 2 - i + 10 = 12 - i ← complex number

(1 + 2i)(1 - 2i) ( expand using FOIL )

= 1 - 2i + 2i - 4i²

= 1 + 4 = 5 ← real number

(1 + 2i)(4i) ( distribute by 4i )

= 4i +8i² = - 8 + 4i ← complex number

(1 + 2i)(1 - 2i) is the only product which results in a real number


7 0
3 years ago
Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).
musickatia [10]

\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0

5 0
3 years ago
Read 2 more answers
Estimat the product of 32*36
7nadin3 [17]
32(40-4)
32*40 - 32*4
1,280 - 128=
1,152
therefor
32*36= 1,152
4 0
3 years ago
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