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3 years ago

Find the area of a triangle whose base is 5cm and whose height is 12cm.

2 answers:

6 0

By definition, the area of the triangle is given by:
$A = (1/2) * (b) * (h)
$
Where,
b: base
h: height
Substituting values we have:
$A = (1/2) * (5) * (12)

 A = 30 cm ^ 2$
Answer:
The area of a triangle whose base is 5cm and whose height is 12cm is:
A = 30 cm ^ 2

Elina [12.6K]3 years ago

3 0

A=30. The formula to find the area of a triangle is. 1/2(base x height)

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Tammy has a job that has a weekly salary of $1,200 but wants to switch a job that has a monthly salary of $11,700. How much more

iogann1982 [59]

Answer:

$1529.8

Step-by-step explanation:

Given:

Tammy has a job that has a weekly salary of $1,200.

But wants to switch a job that has a monthly salary of $11,700

Question asked:

How much more will she make per week if she switch to the new job?

Solution:

Monthly salary of a new job, she wants to switch = $11,700

Weekly salary of a new job, she wants to switch = ?

As we know : 1 month = 4.286 Weeks

Salary of 1 month for a new job, she wants to switch = $11,700

Salary of 4.286 Weeks for a new job, she wants to switch = $11,700

Salary of 1 Week for a new job, she wants to switch = $11700\div4.286=\$2729.81$

Now, we have to find that How much more she will make per week, if she switch to the new job.

More money she will make for a new job she wants o switch = Weekly salary for a new job, she wants to switch - Weekly salary of current job

More money she will make, for a new job = $2729.8 - $1200 = $1529.8

Therefore, she will make $1529.8 more per week if she switch to the new job.

3 0

3 years ago

Each cement block weighs 1 1/4 how much do 8 cement blocks weigh

vladimir1956 [14]

Answer:

Step-by-step explanation:

(1 1/4) * 8 = 10

3 0

3 years ago

11) a - 15 >-40-6 + 3a)

SOVA2 [1]

Answer:

a < $\frac{31}{2}$

Step-by-step explanation:

Given

a - 15 > - 40 - 6 + 3a ← simplify right side

a - 15 > - 46 + 3a ( subtract a from both sides )

- 15 > - 46 + 2a ( add 46 to both sides )

31 > 2a ( divide both sides by 2 )

$\frac{31}{2}$ > a ⇒ a < $\frac{31}{2}$

4 0

3 years ago

What is true about the angles in the diagram show below? Please Help!

dsp73

Answer:

1) 30

2) 60

Step-by-step explanation:

1. 90 + 2x + x = 180

solve for x

x = 30

plug in 30 for x

hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe

8 0

2 years ago

Please help me!! 100 points!!

Lyrx [107]

Part A.

We could take, for example:

$\begin{cases}x\geq-3\\y\geq3\end{cases}$

For x ≥ -3 we have vertical line (x-intercept = -3) and shaded region on the right side of the line.
For y ≥ 3 we have horizontal line (y-intercept = 3) and shaded region above that line.

Part B.

Simply, substitute x and y coordinates of D and E to the system of inequalities from part A, and check if its is true, what we get.

$D=(-2,4)\\\\\begin{cases}x\geq-3\\y\geq3\end{cases}\quad\implies\quad\begin{cases}-2\geq-3\qquad\text{True}\\4\geq3\qquad\text{True}\end{cases}$

so point D is a solution,

$E=(2,4)\\\\\begin{cases}x\geq-3\\y\geq3\end{cases}\quad\implies\quad\begin{cases}2\geq-3\qquad\text{True}\\4\geq3\qquad\text{True}\end{cases}$

and point E is also a solution to our system of inequalities.

Part C.

There are two ways we could do that. First is the same as in part B. We substitute x and y coordinates of each school and check if inequality is true or false:

$A=(-5,5)\\\\y\ \textless \ 3x-3\quad\implies\quad5\ \textless \ 3\cdot(-5)-3\quad\implies\quad5\ \textless \ -18\quad\text{False}\\\\\\
B=(-4,-2)\\\\y\ \textless \ 3x-3\quad\implies\quad-2\ \textless \ 3\cdot(-4)-3\quad\implies\quad-2\ \textless \ -15\quad\text{False}\\\\\\
C=(2,1)\\\\y\ \textless \ 3x-3\quad\implies\quad1\ \textless \ 3\cdot2-3\quad\implies\quad1\ \textless \ 3\quad\text{True}\\\\\\
D=(-2,4)\\\\y\ \textless \ 3x-3\quad\implies\quad4\ \textless \ 3\cdot(-2)-3\quad\implies\quad4\ \textless \ -9\quad\text{False}\\\\\\
E=(2,4)\\\\y\ \textless \ 3x-3\quad\implies\quad4\ \textless \ 3\cdot2-3\quad\implies\quad4\ \textless \ 3\quad\text{False}\\\\\\$

$F=(3,-4)\\\\y\ \textless \ 3x-3\quad\implies\quad-4\ \textless \ 3\cdot3-3\quad\implies\quad-4\ \textless \ 6\quad\text{True}\\\\\\$

So Timothy can attend schools C and F.

We can also draw a graph of that inequality (pic 2).

8 0

3 years ago

Read 2 more answers