MATHEMATICS COLLEGE

Find each missing length to the nearest tenth.

Answers

Answer 1

Answer:

$\huge\bold{Given:}$

Length of the perpendicular = 7

Length of the base = 10

$\huge\bold{To\:find:}$

The length of the missing side (hypotenuse).

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 12.21}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Let the length of the missing side be $x$ .

Using Pythagoras theorem, we have

(Hypotenuse)² = (Perpendicular)² + (Base)²

$\longrightarrow{\blue{}}$ ${x}^(2)$ = (7)² + (10)²

$\longrightarrow{\blue{}}$ ${x}^(2)$ = 49 + 100

$\longrightarrow{\blue{}}$ ${x}^(2)$ = 149

$\longrightarrow{\blue{}}$ $x$ = $√(149)$

$\longrightarrow{\blue{}}$ $x$ = 12.206

$\longrightarrow{\blue{}}$ $x$ = 12.21.

Therefore, the length of the missing side $x$ is $12.21$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (12.21)² = (7)² + (10)²

$\longrightarrow{\green{}}$ 149 = 49 + 100

$\longrightarrow{\green{}}$ 149 = 149

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Henceverified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}$

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Suppose that vehicles taking a particular freeway exit can turnright (R), turn left (L), or go straight (S). Consider observingthe direction for each of three successive vehicles.a. List all outcomes in the event A that all three vehicles go inthe same direction.
b. List all outcomes in the event B that all three vehicles takedifferent directions.
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Answers

Answer:

a.) A= [RRR, LLL, SSS]

b.) B=[RLS, RSL, SRL, SLR, LRS, LSR]

c.) C=[RRL, RRS, RSR, RLR, SRR, LRR]

e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]

Step-by-step explanation:

If three consecutive vehicles are considered with their direction as R, L and S, then

a.) when the three vehicles go in same direction, A= [RRR, LLL, SSS]

b.) When the three vehicles take the different direction, B=[RLS, RSL, SRL, SLR, LRS, LSR]

c.) when exactly two vehicles turn right, C=[RRL, RRS, RSR, RLR, SRR, LRR]

d.) repeated question of C above.

e.) D'= C' = [RRR, LLL, SSS, RLS, RSL, SRL, SLR, LRS, LSR, LLR, LLS, LSL, LRL, SLL, RLL, SSL, SSR, SLS, SRS, RSS, LSS]

A landlord hires a plumber to fix a burst pipe in a basement. Theplumber charges a one-time service charge of $80 plus an hourly fee.
The total cost the landlord had to pay the plumber for 3 hours of work
was $350.
Write an equation to represent
the situation:
Solve the equation to find the
plumber's hourly fee:
Type your equation here
Solve your equation here

Answers

Answer:

Step-by-step explanation:

80x3=240

350-240=110

Answer:

answerr above me

Step-by-step explanation:

Pls help with hw I’m not good at this and I really need answers

Answers

i just finished this unit.

A: false
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The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle

Answers

9514 1404 393

Answer:

x² +y² -6x -16y +48 = 0

Step-by-step explanation:

Given:

circle center: (3, 8)
circle radius: 5

Find:

general form equation for the circle

Solution;

The standard form equation for the circle is ...

(x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)

(x -3)² +(y -8)² = 5²

Subtracting 25 and expanding this will give the general form.

x² -6x +9 +y² -16y +64 -25 = 0

x² +y² -6x -16y +48 = 0

_____

Additional comment

"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.

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Answers

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