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Archy [21]
3 years ago
7

Can someone help please!

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:a) 0.35

B) 0.75

C) 0.65

D) 0.25

E) 1.1

F) 0.9

Step-by-step explanation:

Relative frequency= frequency/total number of value

A) 21/60= 0.35

B) 135/180= 0.75

C) 39/60= 0.65

D) 45/180= 0.25

E) Rf Male or female choosing sport utility car = 21/60 + 135/180 = 0.35 + 0.75= 1.1

F) Rf of male or female choosing a sport car= 39/60 +45/180= 0.65 + 0.25= 0.9

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).
amm1812

Answer:

(4, -3 )

General Formulas and Concepts:

<u>Pre-Algebra I</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

Step-by-step explanation:

<u>Step 1: Define</u>

R (9, 3)

S (-1, -9)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{9-1}{2}, \frac{3-9}{2} )
  2. Subtract:                       (\frac{8}{2}, \frac{-6}{2} )
  3. Divide:                          (4, -3 )
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