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Tamiku [17]
2 years ago
14

Find the area of the figure.

Mathematics
1 answer:
victus00 [196]2 years ago
4 0

Answer:384cm²

Step-by-step explanation:

first find the area of the parallelogram

bh

b=24

h=7.5

24×7.5=180

second find the area of a rectangle

lw

l=24

w=8.5

24×8.5=204

add the areas together

204+180=384cm²

You might be interested in
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
Find the slope of the line passing through the points(3,-9) and(2,-2) .
tino4ka555 [31]

Answer:

-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-9))/(2-3)

m=(-2+9)/-1

m=7/-1

m=-7

5 0
2 years ago
What is 5 x 3/4 and please give me your simplest answer
lord [1]

Answer:

15/4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help please I really need help
Umnica [9.8K]

Yo sup??

The two triangles are similar by AAA property ie

Angle Angle Angle property

Let us name the two triangles as ABC and DEF

By observing the figure

mB=mE=90   (right angled triangle)

mA=mD   (parallel lines property)

mC=mF    (parallel lines property)

Therefore by AAA the two triangles are similar .

The diagram is given below.

PS: All the credits for image goes to Picasso-PSN03

5 0
3 years ago
Need help right away<br> don't worry about it saying an ex 2
elena-14-01-66 [18.8K]
Answer is about 3 times
About 3 times in April bc it’s saying It rained two times out of the 12 days in March in there about 30 days in March and 30 days in April so if you just add 12 and 12 equals 24 so it rained 4 times but if you are 12 it would equal 36 so if you would take half of 12 which is sixto equal one rainy day it would give you about 3 days
7 0
3 years ago
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