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alexandr402 [8]
3 years ago
10

Rewrite 71/9 as a mixed number.

Mathematics
2 answers:
White raven [17]3 years ago
3 0
7 and 8/9 is 71/9 as a mixed number

Tanzania [10]3 years ago
3 0
The mixed number would be 7 1/9. hope this helps hun
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Factor completely
luda_lava [24]

Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

7x^2y(x+2y^2-y)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. 5x(x+3)+6(x+3)

The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

(x+3)(5x+6)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. 8x^5+2x^4+4x^2

The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

2x^2(4x^3+x^2+2)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

4 0
3 years ago
NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she
Goshia [24]

Answer:

The distance from hot air balloon to the ground  AC=50.1457 ft.

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is 40°.

When she  stepped back 200 ft then angle of elevation was 10°.

Height of Angie is  5.5 ft.

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie (BC) = 5.5ft

  In triangle ΔABD,

         ⇒                    tan {40\si {\degree}} = \frac{AB}{BD}

         ⇒                      AB = tan (40) \times BD          ....................(1)

Now, In triangle ΔABE

         ⇒                  tan (10)= \frac{AB}{200+BD}

         ⇒                 AB = tan(10)\times (200+BD)

Here, substituting the value AB from Equation (1) we get,

                        tan(10)\times (200+BD)= tan(40)\times BD

                      tan(10)\times 200+tan(10)\times BD= tan(40)\times BD

        ⇒         BD\times (tan(40)-tan(10))=tan(10)\times 20        

        ⇒                   BD\times 0.6628 = 35.2654

        ⇒                       BD = \frac{35.2654}{0.6628} =53.2067 ft        

Now, finding the value of AB from equation (1)

                                 AB= tan(40)\times 53.2067=0.8391\times 53.2067

                                 AB=44.6457 ft              

Therefore Length of AC= AB+BC = (44.6457 + 5.5) ft

                                  AC=50.1457 ft.

Hence,

The distance from hot air balloon to the ground  AC=50.1457 ft.                

6 0
3 years ago
Simplify.<br><br> 8−4÷2+5⋅6<br><br> 1. 32<br> 2. 36<br> 3. 54<br> 4. 66
Radda [10]

Answer: 36

Step-by-step explanation:

8-2+30

6+30

36

7 0
3 years ago
A dumpster, in the shape of a right rectangular prism, has a length of 10 feet, a width of 5.5 feet, and a height of 4 feet. It
solniwko [45]

Answer:

The weight of the yard waste = 1650 pounds

Step-by-step explanation:

* Lets revise the rule of the volume of the prism

- The rectangular prism has 6 rectangular faces

- Its base shaped a rectangle of dimensions length and width

- The volume of the rectangular prism = Area of its base × its height

∵ Area of the rectangle = length × width

∴ The volume of the prism = length × width × height

* Now lets solve the problem

∵ The length of the rectangular prism = 10 feet

∵ The width of it = 5.5 feet

∵ The height of it = 4 feet

∴ Its volume = 10 × 5.5 × 4 = 220 feet³

- The prism is completely full of yard waste

∴ The volume of the yard waste = the volume of the prism

∴ The volume of the yard waste = 220 feet³

- The average weighs of it is 7.5 pounds/cubic foot

∴ The weight of the yard waste = the average of weight × the volume

∴ The weight of the yard waste = 7.5 × 220 = 1650 pounds

3 0
3 years ago
I need help on this ASAP!!!!
poizon [28]
A=A trapeze+ A rectangular trapeze 

A= (6.5+3.2)*4.5/2 + (1.8+4.5)*4.5/2= (9.7+6.3)*4.5/2=16*4.5/2=8*4.5=36 m^2
4 0
4 years ago
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