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iVinArrow [24]
2 years ago
12

Anyone mind helping me solve this inequality? Step by step

Mathematics
1 answer:
dlinn [17]2 years ago
5 0

By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

<h3>How to find the area of the composite figure?</h3>

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²

Now, the bottom triangle has a base of 12 cm, and a height of:

15cm - 6cm = 9cm

Then its area is:

A' = 12cm*9cm/2 = 54cm²

This means that the total area of the figure is:

total area = 54cm² + 54cm² = 108cm²

If you want to learn more about area:

brainly.com/question/24487155

#SPJ1

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hoa [83]

Answer:

Holaaaaa si quieres saber metete a saptory es una aplicacion nueva❤

3 0
3 years ago
Help ASAP!!! I need ssomeoje to answer this
MissTica

Answer:

(1,-1)

Step-by-step explanation:

it's one coordinate to the right so it's positive 1, then it goes down 1 so it's negative:) hope I helped!

4 0
3 years ago
Sally invests $10,500 in an account that earns 6% annual simple interest. Assuming she makes no additional deposits or withdrawa
Fittoniya [83]

Answer: $2520

Step-by-step explanation:

The simple Interest earned on a deposit of P that has a rate of r% and a period of t years can be calculated by using the formula:

(P × R × T)/100

where P is principal

R is rate

T is time

P=$10,500

R=6%

T=4 years

Therefore:

Interest= (10500 × 6 × 4)/100

= 252000/100

= 2520

Sally will earn $2520 as interest after 4 years.

6 0
3 years ago
The principal amount, $4200, earns 3.6% interest compounded monthly.
svlad2 [7]

Answer:

a)

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting the values

A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}

\:A\:=\:4200\left(1.0025\right)^{120}

A=5667.28 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

6 0
3 years ago
X^2 +8 =0 please show all work
Virty [35]
x^2+8=0\\&#10;x^2=-8\\&#10;x=-\sqrt{-8} \vee x=\sqrt{-8}\\&#10;x=-\sqrt{8\cdot(-1)} \vee x=\sqrt{8\cdot(-1)}\\&#10;x=-\sqrt{8}\cdot\sqrt{-1} \vee x=\sqrt{8}\cdot\sqrt{-1}\\&#10;x=-\sqrt{4}\cdot \sqrt2\cdot i \vee x=\sqrt{4}\cdot \sqrt 2\cdot i\\&#10;x=-2\sqrt{2}i \vee x=2\sqrt{2}i&#10;
6 0
3 years ago
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