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ahrayia [7]
2 years ago
13

2 Using the Pythagorean Theorem, find the missing side for these right triangles. If the answer is not a perfect square, leave i

t in radical form. c = 5, B = 4, a = ?​
Mathematics
1 answer:
timofeeve [1]2 years ago
6 0

Answer:

<u>a = 3</u>

Step-by-step explanation:

Given :-

c = 5

b = 4

To Find :-

a

Solving :-

a² = c² - b²

a² = (5)² - (4)²

a² = 25 - 16

a² = 9

<u>a = 3</u>

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m
Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, A= \frac{1}{2}bh

When A=190 cm^2, h=10cm

190= \frac{1}{2}*b*10\\b=38cm

\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,

2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min

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8 0
3 years ago
Rewrite in simplest terms: -4(5v – 3v – 6) – 9v
julsineya [31]

Answer:

-4 (5v -3v -6) -9v (use the distributive property)

-20v +12v +24 -9v (combine all like terms)

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3 0
3 years ago
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Lisa completed the table to describe the product of a mystery one - digit factor and factor and each numbers
deff fn [24]

Answer: part A is 0, 2, 4, 6, 8 and part B is Because the products all are even, the mystery factor must also be an even number. We have selected all of the even one-digit numbers.

Step-by-step explanation:

So, the number you need to find is between 0 and 9, because is a 1-digit number. For example, it cannot be 10 because 10 is a 2-digit number.

So, the number could be like 0,1,2,3...etc

In the table, the "X" in the left upper corner is the symbol for multiplication.

The "?" in the left lower corner represents the mystery number.

The table shows that the product of the mystery number and 1,2,3,4 and 5 is always an even number

For example, the product of the mystery number and 3 is even.

That means that our mystery must be even.

So, we know that the mystery number is between 0 and 9 and it must be even.

Therefore, the mystery number can be one of the following numbers:

0, 2, 4, 6, 8

8 0
4 years ago
Identify three ways that ocean plants cycle carbon
pav-90 [236]
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8 0
3 years ago
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9.25%

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0.0925x100= 9.25%
7 0
3 years ago
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