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siniylev [52]
3 years ago
9

The length of one leg of a right triangle is 24 ft, and the length of the hypotenuse is 40 ft.

Mathematics
2 answers:
grandymaker [24]3 years ago
4 0
First set up your formula. A squared plus b squared equals c squared. C squared is the hypotenuse. Set it up like this;

24 squared plus b squared equals 40 squared.

576 plus b squared equals 1600

B squared equals 1600 - 576

B squared equals 1024

Then you square root it

The answer is 32.
Mila [183]3 years ago
3 0
H^2=x^2+y^2

y^2=h^2-x^2

y^2=40^2-24^2

y^2=1024

y=√1024

y=32 ft
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Fill in the blank.
Marrrta [24]

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

7 0
2 years ago
Determine the sign of cos pi/3 without using a calculator.
andre [41]
Pi/3 is in the first quadrant, and all trigonometric functions are positive in the first quadrant,
Therefore, cos pi/3 is positive.

8 0
3 years ago
What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

8 0
3 years ago
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh
levacccp [35]

Answer:

64.468

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Whats the input value of f(x)=2x+5
Juli2301 [7.4K]

Answer:

x

Step-by-step explanation:

f(x)=2x+5

Input: x

Output: f(x)

For i.e:

Input: 1

Output: f(1) = 2(1) + 5 = 2 + 5 = 7

8 0
3 years ago
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