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3 years ago

I need a quick answer. I will appreciate your efforts

Mathematics

2 answers:

drek231 [11]3 years ago

7 0

Answer:

10.5 cm

Step-by-step explanation:

12÷9= 1.3 (1dp)

14÷(12÷9)= 10.5cm

RideAnS [48]3 years ago

4 0

Answer:

y = 10.5 cm

x = 80 degree

Step-by-step explanation:

Our approach is find measures first and y is our missing measure.

To find y

PQRS : ABCD is in ratio the same as CD : RS

We need to work out CD : RS to find measures of AD : SP

To find ratio we look at side measures first

CD : RS = 12 : 9

12/9 = 1.333333

So that AD : SP = 14 : ?

14 / 1.333333 = 10.50000

AD : SP = 14 : 10.5

y = 10.5 cm

To find x

We are given opposite angles and know with quadrilaterals they both share same opposite diagonal length ratios and share same opposite angles.

Where two angles are always in pairs given 100 degree can be multiplied by 2 and use the equation.

360 - (100 x 2) / 2 = (360 - 200) / 2 = 160/2 = 80 degree

x = 80 degree

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The following data points represent the number of classes that each teacher at Broxin High School teaches.

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Step-by-step explanation:

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3 years ago

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7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

Because the common difference is equal, then it is an arithmetic progression

Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

Please show work

OlgaM077 [116]

Answer:

3.7hours

Step-by-step explanation:

Step one:

A car travels 360 miles in 8 hours

the speed is calculated as

speed= distance/time

speed= 360/8

speed= 45mph

Step two:

How much time will it take traveling 168 miles?

having found the speed, which is the rate at which the car is tavelling

time= distance/speed

time= 168/45

time= 3.7hours

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3 years ago

Tamara gets paid an annual salary of $48,000 and earns 4% commission on all sales she makes. If Tamara wants to make $6,000 this

Ronch [10]

Given that Tamara's annual salary is $48,000 means that his monthly salary is $48,000 / 12 = $4,000. For Tamara to make $6,000 this month, she needs to make an additional $2,000 from commissions in addition to her salary. Given that she earns 4% commision on all sales, let the sale she needs to make to get $2,000 be S, then 4 / 100 x S = 2000 this gives 0.04S = 2000 giving that S = 2000 / 0.04 = 50,000. Therefore, Tamara needs to make a sales of $50,000 to be able to earn $6,000 this month.

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3 years ago

Two times the sum of a number and 4 equals 30

tino4ka555 [31]

Answer: 11

Step-by-step explanation: write the equation.

2(x+4)=30

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4 years ago