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Serjik [45]
3 years ago
6

Simplify 6 months: 3 years plz help

Mathematics
1 answer:
choli [55]3 years ago
6 0
Simplify it into what?

Months = 42
Days = 1277
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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb
Monica [59]

Answer: 4x^{2}+80x-500=0

Step-by-step explanation:

1. You know that:

-  The roped-off area whose width is represented with <em>x,</em> it is created around  a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

A=l*w

Where l is the lenght and w is the width.

You have that the lenght and the width in feet are:

l=30\\w=10

3. Let's call x the width of the roped-off area. Then, the combined area is:

A_c=l_c*w_c

Where

A_c=800

l_c=l+x+x=30+2x

w_c=w+x+x=10+2x

4. Substitute values and simplify. Then:

 800=(30+2x)(10+2x)

800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0

5 0
3 years ago
Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling
N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr

8 0
3 years ago
Work out the size of angle x <br> Next to 164 and 90
Zielflug [23.3K]

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

  1. so do what's in the perenthesis first so 164+90=254
  2. Then you want to subtract 254 from 360 so 360-254=106

x=106 degrees

6 0
3 years ago
A rhombus with right angles
Ghella [55]

Answer:

A rhombus is quadrilateral with all side of equal length. Thus a quadrilateral with all sides of equal length and all angles right angles is still a rhombus but it is also a square. It is also a quadrilateral, a rectangle and a parallelogram.

Step-by-step explanation:

I hope this helped! have a great day! :)

7 0
3 years ago
Please help me with geometry i really need help
Debora [2.8K]
The ratio is 1:2 meaning you would divide the 4320 by 2 to get the smaller prisim.
4320 ÷ 2 = 2160 cm^3
6 0
3 years ago
Read 2 more answers
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