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Lubov Fominskaja [6]
3 years ago
5

The lengths of two sides of a right triangle are given. Find the length of the third side to the nearest tenth of a unit.

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

the length of the third side is 12.1m

Step-by-step explanation:

by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2

h = hypotenuse = 14m

l1 = leg1 = 7m

l2 = leg2

h^2 = l1^2 + l2^2

14^2 = 7^2 + l2^2

196 = 49 + l2^2

196 - 49 = l2^2

147 = l2^2

√147 = l2

12.124 = l2

rounding to the nearest tenth

l2 = 12.1

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3. Find the area of the shaded region. Leave your answer in terms of pi. (1 point)
anygoal [31]

ANSWER

B.

(4 - \pi) {ft}^{2}

EXPLANATION

The area of the square is

{l}^{2}

The length of the square is

l = 2ft

The area of the square is

=  {2}^{2}  = 4 {ft}^{2}

Area of the circle is

= \pi \:  {r}^{2}

The radius of the circle is

r =  \frac{2}{2}  = 1ft

Area of circle is

= \pi \:  \times  {1}^{2}  = \pi {ft}^{2}

The area of the shaded region is

= (4 - \pi) {ft}^{2}

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Given that f(x)=x^2-3x+3 and g(x)=x-1/4 slove for f(g(x)) when x=5
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When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer
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S.O.S help !!!!!!!!!!!!!!!!
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One root of is x = 6. What are all the factors of the function? Use the Remainder Theorem.
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3 years ago
Factor the expression below 36a2-25b2 which binomial is factor of the expression
Serhud [2]

Answer: (6a + 5b) • (6a - 5b)

 

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (36 • (a2)) -  52b2

Step  2  :

Equation at the end of step  2  :

 (22•32a2) -  52b2

Step  3  :

Trying to factor as a Difference of Squares :

3.1      Factoring:  36a2-25b2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  a2  is the square of  a1

Check :  b2  is the square of  b1

Factorization is :       (6a + 5b)  •  (6a - 5b)

Final result :

 (6a + 5b) • (6a - 5b)

brainly would epic!

7 0
3 years ago
Read 2 more answers
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