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Arte-miy333 [17]
3 years ago
11

9" alt=" \times + 8 \geqslant 9" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Annette [7]3 years ago
8 0

<em />

8.   Which one of the following examples represents a repeating decimal?

    

  A. 4.252525

  B. 1.111114

  C. 0.123123

  D. 0.777777

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Cesar is making a model of the Eiffel Tower. The height of the tower is 984 feet, and Cesar wants to make a 1.5-foot
n200080 [17]

Answer:

See below

Step-by-step explanation:

First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:

1.5 M = 984 O, this is our equivalence.

Now divide both sides by 1.5

1.5 M / 1.5 = 984 O / 1.5

1 M = 656 O

So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:

12 m = 656 O

If we divide both sides by 12:

m = 656/12 O

m = 56.67

So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.

Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:

56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.

Scale: 1 inch = 56.67 feet

5 0
4 years ago
WHATS 1 PLUS ONE IM HAVIN TROUBLE WITH THIS
Leokris [45]
Lol   if your serious 2 buutt..............

LMAO!!

4 0
3 years ago
Read 2 more answers
wayne has a recipe on a 3inch by 5inch index card that he wants to enlarge to 15 inches long. how wide will the enlargement be?
Step2247 [10]
Well, the enlargement would be 3, because 15/5 is 3. So, the new measurements are no 9x15in.
7 0
3 years ago
A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how
Mazyrski [523]

Answer:

251.33in²

Step-by-step explanation:

A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?

We solve the above question using the formula for Total surface area of a cylinder.

TSA = 2πr (h + r) Square units.

Where

h = Height of the cylinder

r = Radius of the cylinder

Diameter of the container is 10 inches

Hence, radius = Diameter/2 = 10/2 = 5 inches

Height is 3 inches.

Hence, Total surface area =

2 × π × 5 (5 + 3)

= 10π × (8)

= 251.32741229 in²

Approximately = 251.33 in²

Therefore, the amount of sand that can fit into the cylinder = 251.33 in²

6 0
3 years ago
Help would be much appreciated! :)​
Tju [1.3M]

Answer:

\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Expanding

<u>Algebra II</u>

Polynomial Division

  • Long Division
  • Synthetic Division

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}<em />

<em />

<u>Step 2: Long Division</u>

<em>See attachment.</em>

  1. Multiply quotient <em>a</em> and divisor, then subtract from dividend:                      \displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}
  2. Multiply quotient <em>b</em> and divisor, then subtract from new dividend:              \displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}
  3. Multiply quotient <em>c</em> and divisor, then subtract from new dividend:              \displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}
  4. Write remainder:                                                                                               \displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}

<em>Please excuse the bad handwriting.</em>

4 0
3 years ago
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