All categories

2 years ago

(100 points!!!!!)

Mathematics

1 answer:

mel-nik [20]2 years ago

4 0

Answer:

Step-by-step explanation:

a. See attachment.

b. 1/6

c. 1/8

Download pdf

You might be interested in

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 help!!!! i dont understand these problems

slega [8]

Answer:

6) 48/52

7)48/73

Step-by-step explanation:

SohCahToa

Sine of an angle = Opposite side/Hypotenuse

Cosine of an angle = Adjacent side/Hypotenuse

Tangent of an angle = Opposite side/Adjacent side

These three operators can be thought of as ratios of certain sides of a triangle. A ratio is just a comparison of two quantities; or lengths of the sides in this case.

3 0

3 years ago

The expression c(16x + 14) is equivalent to 32x + d.

pychu [463]

Answer:

c = 2

d = 28

Step-by-step explanation:

Please see the attached file for explanation

7 0

3 years ago

Scientists measure a bacteria population and find that it has 10,000 organisms. Five days later, they find that the population h

liraira [26]

Answer:

f(x)= 10,000(2)^x

Step-by-step explanation:

Exponential equations can be modeled by a(r)^x where a is the initial amount, r is the difference, and x is how many units the equation should be squared by.

7 0

3 years ago

A real estate agent earned $7200 commission on a property sale of $240,000. What is her rate of commission?

cluponka [151]

The real estate agent has a commission rate of 33.3%

if youy divide 240000 by 7200 then you would get 33.33333333

which would mean she has a (1/3) commission rate. hope this helps you out!

8 0

4 years ago