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Andreyy89
3 years ago
5

Four congruent circular holes with a diameter of 2 in. were punches out of a piece of paper.

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

For this case we first calculate the area of the complete rectangle.

 We have then:

 A1 = (8.5) * (11)

 A1 = 93.5

 Then, we calculate the area of each circle:

 A2 = pi * r ^ 2

 A2 = (3.14) * (2/2) ^ 2

 A2 = 3.14

 The total area is given by:

 A = A1 - 4 * A2

 A = 93.5 - 4 * (3.14)

 A = 80.94 in ^ 2

 Answer:

 A) 80.94



Step-by-step explanation:


Korvikt [17]3 years ago
4 0

Answer:80.94

Step-by-step explanation

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MIDDLE SCHOOL MATH- 4 QUESTIONS
Contact [7]

Answer:

( I am assuming that these are all fractions)

1. 14 \frac{4}{7}

2.  8

3. \frac{4}{15}

4. 5 \frac{8}{11}

Step-by-step explanation:

1. First you have to convert 15 into a fraction but it must have the same denominator causing the equation to look like 105/7 - 3/7= 102/7. But you cannot just leave the fraction like that it must be simplified 14 \frac{4}{7}

2. Three-fifths of an hour is 36 minutes. You would next multiply 5 by 60 which would the hours into minutes 5 x 60 = 300. You would then divide 300 by 36 which would give you 8.3333333333, which I just simplified it to 8

3. In order for you to multiply a fraction you would first multiply the top then the bottom. 12 x 6= 72, 15 x 18= 270. The fraction would look like 72/270 which is simplified to \frac{4}{15} .

4. First I changed the fractions into improper fractions causing the fraction to look like 36/8 x 14/11 (I got these answers by 8 by 4 then adding 4, then for the next fraction I multiplied 11 by 1 then added 3.) 36 x 14= 1224, 11 x 8= 88 the fraction would look like 1,224/88 you would simplify to 5 \frac{8}{11}

Hope this helps

Please tell me if I made any mistakes I enjoy learning from them.

6 0
2 years ago
Please someone answer this, “what is the area of triangle ABC?”
prisoha [69]

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

\dfrac{ \sqrt{3} }{4}  {a}^{2}

where,

  • a = 8 ( side measure )

=》

\dfrac{ \sqrt{3} }{4}  \times 8 \times 8

=》

\sqrt{3}  \times 16

=》

16 \sqrt{3} \:  \:  \:  cm {}^{2}

or

=》

27.71 \:  \: cm {}^{2}

4 0
2 years ago
In two or more complete sentences, identify the parent function, and describe the transformations that were applied to
pantera1 [17]

Answer:

Step-by-step explanation:

Transformed of the function has been given as,

f(x) = \sqrt{(2x+6)}+3

     = \sqrt{2}(\sqrt{x+3})+3

Parent function of this transformed function = \sqrt{x}

Vertical stretch = By a factor of \sqrt{2}

Horizontal shift = 3 units to the left

Vertical shift = 3 units up

Now we can summarize these transformations as,

1). Parent function g(x) = \sqrt{x} has been vertically stretched by a factor of \sqrt{2}

2). Followed by the translations of 3 units left and 3 units up.

3 0
3 years ago
$3000 is invested at 3% annual interest for 3 years.<br> a. Simple Interest b. Compound Interest
stich3 [128]

Answer:

a. $270

b. $3,278.18

Step-by-step explanation:

Given that

The principal amount is $3,000

Annual rate of interest is 3%

And, the time period is  3 years

We need to find out the simple interest & compound interest

The following formulas should be used

a. For simple interest

= Principal × rate of interest × time period

= $3,000 × 3% × 3 years

= $270

b. For compound interest

= Principal × (1 + rate of interest)^time period

= $3,000 × (1 + 0.03)3

= $3,000 × 1.03^3

= $3,278.18

8 0
2 years ago
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not
Kryger [21]

RESPUESTA: no es un triangulo

EXPRICACION

3 0
2 years ago
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