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Anit [1.1K]
3 years ago
9

Find the area of a parallelogram that has a base of 24 feet and a height of 12 feet

Mathematics
1 answer:
viva [34]3 years ago
5 0

you're answer would be two hundred eighty eight

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8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards
puteri [66]

Answer:

172.76 yards.

Step-by-step explanation:

The dog chasing some birds got away from its owner by x yards (say).

It is clear from the problem that this x yards is the slant distance from the dog to the owner.

The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.

Therefore, we can write that \sin 10 =\frac{30}{x}

⇒ x = \frac{30}{\sin10} = 172.76 yards. (Answer)

8 0
3 years ago
The area of ABED is 49 square units. Given AGequals9 units and ACequals10 ​units, what fraction of the area of ACIG is represent
Mrac [35]

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

substituteA=(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
What is the highest common factor (HCF) of 9 and 15?
Iteru [2.4K]

Answer:

3

Step-by-step explanation:

9's factor is 1, 3, 9.

and 15's factor is 1, 3, 5, 15.

so, the answer is 3.

5 0
3 years ago
Which expression is not equal to 1?
svetlana [45]

Answer:

sin θcos θ

hope it is helpful to you

6 0
3 years ago
Read 2 more answers
What is the intensity of an earthquake with a
aivan3 [116]

1,000 times a standard earthquake

6 0
3 years ago
Read 2 more answers
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