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max2010maxim [7]
3 years ago
11

Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Roun

d to the nearest thousandth. __________________ in
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

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Nehal is a real estate developer, and he is designing a new neighborhood. The neighborhood will have four streets, each of which
ololo11 [35]

Answer:

240 houses

Step-by-step explanation:

Given that:

Number of streets = 4

Length of each street = 3/4 miles long

Street is divided into lots with one house built per lot

1 mile = 5289 feets

3/4 miles = (3/4) * 5280 = 3960 feets

Hence, street is 3960 feets long

Since each lot must have at least 65 feet frontage along the street:

Number of lots per street :

Length of street / frontage length

3960 ft / 65 ft = 60.92

Hence, maximum number of lots per street = 60 lots per street

Maximum number of houses in New neighborhoods :

Number of lots per street × number of streets

= 60 × 4

= 240 houses

4 0
3 years ago
The product of 11/13 and 4 is:
kirza4 [7]

Answer:

11/13 x 4 = 3 5/13

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the equation in the complex number system.
tatiyna
To get rid of x^{3}, you have to take the third root of both sides:
\sqrt[3]{x^{3}} = \sqrt[3]{1}
But that won't help you with understanding the problem. It is better to write x^{3}-1 as a product of 2 polynomials:
x^{3}-1 = (x-1)\cdot (x^{2} +x +1)
From this we know, that x-1 = 0 => x = 1 is the solution. Another solutions (complex roots) are the roots of quadratic equation.
3 0
3 years ago
Read 2 more answers
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goblinko [34]

Answer:Albert spent more on video games and 1/2>0.4

But Rosa spent more on pizza 2/5>.25

Step-by-step explanation: Rosa spent most of her allowance while Albert spent the least amount so Rosa spent more

5 0
3 years ago
bob and mark talk about their families. bob says he has 3 kids, the product of their ages is 72. Mark points out that there is s
Sonbull [250]
Given:
3 kids
72 is the product of their ages.
There is a youngest child.

This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
  9 ÷ 3 = 3

Prime factors are: 2 x 2 x 2 x 3 x 3    OR 2³ x 3²

3 ages.

eldest      = 3³ = 9
middle     = 2² = 4
youngest  = 2¹ = 2

2 x 4 = 8
8 x 9 = 72
8 0
3 years ago
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