Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary

David made a triangle with sides 6 cm, 9cm , 12 cm. George wanted to make a triangle bigger in size but similar to that drawn by

SashulF [63]

Step-by-step explanation:

Given :

\triangle ABC \sim \triangle XYZ .△ABC∼△XYZ.

AB = 6\:cm, \:BC = 9 \:cm, CA = 12 \:cmAB=6cm,BC=9cm,CA=12cm

Let \: XY = 10\:cm, \:YZ = x \:cm, \: XZ = y /:cmLetXY=10cm,YZ=xcm,XZ=y/:cm

\frac{AB}{XY} = \frac{BC}{x} = \frac{CA}{y}XYAB=xBC=yCA

\blue {( The \: lengths \:of \: corresponding }(Thelengthsofcorresponding

\blue {sides \:are \: proportional .)}sidesareproportional.)

\implies \frac{6}{10} = \frac{9}{x} = \frac{12}{y}⟹106=x9=y12

i) \implies \frac{6}{10} = \frac{9}{x}i)⟹106=x9

\implies x = \frac{9 \times 10}{6}⟹x=69×10

\implies x = 15\:cm⟹x=15cm

ii) \implies \frac{6}{10} = \frac{12}{y}ii)⟹106=y12

\implies y = \frac{12 \times 10}{6}⟹y=612×10

\implies y = 20\:cm⟹y=20cm

Therefore.,

\red { Value \:of \:x } \green { = 15\:cm }Valueofx=15cm

\red { Value \:of \:y } \green { = 20\:cm }Valueofy=20cm

•••♪

8 0

2 years ago

As a pizza deliverer, Sarah is paid $6.25 per hour and $0.32 per mile. If t represents the number of hours Sarah works in a week

Alexeev081 [22]

<span>The equation= P = 6.25t + 0.32m </span>

4 0

2 years ago

Please helppp me!!!!!

Scrat [10]

Answer:

Step 2 contains error in the given problem.

Step-by-step explanation:

Given expression is:

$\frac{1}{2}x-3=\frac{1}{3}x+6$

Step 1: identifying the LCM.

The LCM identified is 6.

This step is correct.

In the next step, we multiply the LCM with each term of the equation.

Step 2:

$\frac{6}{1}(\frac{1}{2}x) -3 =\frac{6}{1}(\frac{1}{3}x)+6$

However,

In the given solution, the LCM is not multiplied with each term.

Hence,

Step 2 contains error in the given problem.

7 0

2 years ago

A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The

AURORKA [14]

Answer:

(−0.103371 ; 0.063371) ;

No ;

( -0.0463642, 0.0063642)

Step-by-step explanation:

Shift 1:

Sample size, n1 = 30

Mean, m1 = 10.53 mm ; Standard deviation, s1 = 0.14mm

Shift 2:

Sample size, n2 = 25

Mean, m2 = 10.55 ; Standard deviation, s2 = 0.17

Mean difference ; μ1 - μ2

Zcritical at 95% confidence interval = 1.96

Using the relation :

(m1 - m2) ± Zcritical * (s1²/n1 + s2²/n2)

(10.53-10.55) ± 1.96*sqrt(0.14^2/30 + 0.17^2/25)

Lower boundary :

-0.02 - 0.0833710 = −0.103371

Upper boundary :

-0.02 + 0.0833710 = 0.063371

(−0.103371 ; 0.063371)

B.)

We cannot conclude that gasket from shift 2 are on average wider Than gasket from shift 1, since the interval contains 0.

C.)

For sample size :

n1 = 300 ; n2 = 250

(10.53-10.55) ± 1.96*sqrt(0.14^2/300 + 0.17^2/250)

Lower boundary :

-0.02 - 0.0263642 = −0.0463642

Upper boundary :

-0.02 + 0.0263642 = 0.0063642

( -0.0463642, 0.0063642)

7 0

2 years ago

The difference of the squares of two positive consecutive even integers is 84. Find the integers.

ziro4ka [17]

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

$(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20$

3 0

2 years ago

Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary￼￼

Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary