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3 years ago

Find the area of the triangle shown

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

Step-by-step explanation:

the formula for a triangle is base x height divided by 2

so the base is 13 and the height is 14

multiply 13 and 14 then divide by 2

13 x 14 = 182/2= 91

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Y-2=-4(x-1) in standard form

GalinKa [24]

Answer:

4x+y=6

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Each variable indicates different weights. Which weight can you find? Find it.

SOVA2 [1]

Answer:

We can only be certain that a weighs 12.

There are infinitely many possiblities for b and c.

Step-by-step explanation:

We have the equation:

$a+b+c+a+c+b+a+c=12+a+a+b+b+c+c+c$

Each variable indicates a weight.

We would like to determine the weights of each variable (if possible).

First, we can rearrange the equation to acquire:

$(a+a+a)+(b+b)+(c+c+c)=12+(a+a)+(b+b)+(c+c+c)$

We can combine like terms:

$3a+2b+3c=12+2a+2b+3c$

Notice that both sides have 2b and 3c. Therefore, it is possible for us to cancel them since each nullify the other side. So, we will subtract 2b and 3c from both sides. This yields:

$3a=12+2a$

Therefore, we can solve for a. Subtract 2a from both sides:

$a=12$

Hence, the weight of a is 12.

Using the newly acquired information, we can go back to our simplified equation:

$3a+2b+3c=12+2a+2b+3c$

Since a is 12:

$3(12)+2b+3c=12+2(12)+2b+3c$

Evaluate:

$36+2b+3c=12+24+2b+3c$

Simplify:

$36+2b+3c=36+2b+3c$

We can subtract 36 from both sides:

$2b+3c=2b+3c$

As you can see, this is a true statement.

Since this is a true statement, there are infinitely many possible values for b and c.

Therefore, the only weight we are certain of knowing is weight a weighing 12.

8 0

3 years ago

The number of students who attended FPM in 2015 was 1380. In 2016, 1405 students attended FPM. what was the percent of change in

Fittoniya [83]

The percent of change in student enrollment is 1.81 % increase

Solution:

Given that, The number of students who attended FPM in 2015 was 1380

In 2016, 1405 students attended FPM

To find: Percent change

The percent change is given by formula:

$\text { percent change }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100$

If the result is positive, it is percent increase

If the result is negative, it is percent decrease

From given,

Initial value in 2015 = 1380

Final value in 2016 = 1405

Substituting the values in formula, we get

$\text { percent change }=\frac{1405-1380}{1380} \times 100\\\\\text { percent change }=\frac{25}{1380} \times 100\\\\\text { percent change }= 0.01811 \times 100\\\\\text { percent change }= 1.81$