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3 years ago

What is the value of p in the equation 13p+42=-57+2p

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

p=-9

Step-by-step explanation:

13p+42=-57+2p

Subtract 2p from each side

13p-2p+42=-57+2p-2p

11p +42 = -57

Subtract 42 from each side

11p+42-42=-57-42

11p = -99

Divide each side by 11

11p/11 = -99/11

p = -9

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Calculate the area of the triangle with the following vertices. Include the matrix with your work. (-5, 1), (2, 9), and (-5, 9)

stepan [7]

Answer:

good luck :)

Step-by-step explanation:

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3 years ago

Team a can wash all the windows in the school in x hours. It takes team B 13 hours to do the same job. If the teams work togethe

MariettaO [177]

Answer:

it will take A 4.5 hour

Step-by-step explanation:

Say both teams are of same man power, and here we have two teams

A and B

B takes 13 hours to finish a task.

A&B takes 8.5 hours to finish same tasks

Hence it will take A 13-8.5=4.5 hours to complete the task

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3 years ago

Read 2 more answers

A board is 4 feet 8 inches long how long is the board inches

Otrada [13]

the board is 56 inches long.

how i did this was

12 * 4 = 48

48 + 8 = 56

hope this helps :)

7 0

3 years ago

Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been

Wewaii [24]

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

7.50

7.00

7.25

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

4 0

3 years ago