No explanation required, just a quick answer please!

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

3 years ago

Please show what you did to find the answer thank you!

algol [13]

Answer:

61.89 miles per hour

Step-by-step explanation:

9 x 60 to get the minutes then add the extra 15

555/538 (minutes over miles)

1.0315 x 60 to get back to hours

61.89 miles per hour

7 0

3 years ago

What is the surface area of a cube that’s measured 8 inches

MrRa [10]

Answer:

2

Step-by-step explanation:

Haven't done this in awhile but I think it's 2 because if you cube 2 it comes to 8. L x W x H = 8 | 2 x 2 x 2 = 8

7 0

2 years ago

For right triangle PQR what is the measure of PQ to the nearest hundredth of a centimeter?<br>

antoniya [11.8K]

Angle PQR=90 degrees.
cos 52=PQ/14.72
PQ=14.72 x (cos 52)
PQ= 9 cm to the nearest cm

6 0

3 years ago

Read 2 more answers

Write this second order differential equation as a first order matrix-vector system of differential equations. Show your work in

Mkey [24]

Answer:

See explaination

Step-by-step explanation:

To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.

please kindly see attachment for the step by step solution of the given problem.

4 0

3 years ago