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olchik [2.2K]
3 years ago
14

Josh estimates the height of his desk. what is the reasonable estimate?

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0
<span>The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet. </span>
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The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle
miskamm [114]
A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
{c}^{2}  =  {a}^{2}  +  {b}^{2}
given c = 6 in., a = 2 in.
{c}^{2}  =  {a}^{2}  +  {b}^{2}  \\  {6}^{2}  =  {2}^{2}  +  {b}^{2}  \\ {b}^{2} =  {6}^{2}  -  {2}^{2} = 36 - 4   \\ \sqrt{ {b}^{2} }  =  \sqrt{36 - 4}  =  \sqrt{32}
b =  \sqrt{32}   =  \sqrt{16}  \times  \sqrt{2}  = 4 \sqrt{2}  \\ b = 5.66 \: inches
So the three side are 2, 6, and 5.66 inches
5 0
3 years ago
Andy wrote the following statement
Fantom [35]
Andy is incorrect because more then one triangle can be drawn with the given information
7 0
3 years ago
Read 2 more answers
I need help please. It's trig
Olenka [21]

Answer:

6/10

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which is an example of the commutative property? A. –8 + (–13) = –13 + (–8) B. 16 + (–16) = 0 C. 11 + (–14 + 5) = (11 + (–14)) +
tankabanditka [31]
A. -8+(-13)=-13+(-8)
3 0
3 years ago
Multiplying Powers with the Same Base
Luda [366]

Applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

To multiply the powers having the same base, we will apply the product rule for exponents.

<h3>What is the Product Rule for Exponents?</h3>
  • Base on the product rule for exponents, we have, a^m \times a^n = a^{m + n} = a^{mn}.
  • In order to find the products of two given numbers that have the same base, the exponents would be added together.

1. 5^6 \times 5^{-4

Add the exponents together

5^6 \times 5^{-4} = 5^{(6) + (-4)}

5^6 \times 5^{-4} = 5^2

2. 5 \times 5^3

Add the exponents together

5 \times 5^3 = 5^{(1 + 3)}

5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3}

Add the exponents together

5^{-3} \times 5^{-3} = 5^{(-3) + (-3)

5^{-3} \times 5^{-3} = 5^{-6

5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0

Add the exponents together

5^{-4} \times 5^{4} \times 5^0 = 5^{(-4) + (4) + (0)

5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3}

Add the exponents together

5^{7} \times 5^{3} = 5^{10}

In summary, applying the product rule of exponents, each product of powers are matched with its simplified expression as:

1. 5 \times 5^3 = 5^4

2. 5 \times 5^3 = 5^4

3. 5^{-3} \times 5^{-3} = \frac{1}{5^6}

4. 5^{-4} \times 5^{4} \times 5^0 = 5^0

5. 5^{7} \times 5^{3} = 5^{10}

Learn more about product rule of exponents on:

brainly.com/question/847241

5 0
2 years ago
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