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olchik [2.2K]
3 years ago
14

PLEASEE HURRY

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

2

Step-by-step explanation:

2

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Help Please I am not sure how to do this?
notsponge [240]

The answer should be Step 1; 3(1+2x)-2(x+1)+5

5 0
3 years ago
A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav
Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0
3 years ago
Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
Artyom0805 [142]

Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
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saveliy_v [14]

Answer:

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6 0
3 years ago
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You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch
Schach [20]

Answer:

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

Step-by-step explanation:

Given;

Length of the room = 12 feet 6 inches = 12.5 ft

Breadth of the room = 10 feet 6 inches= 10.5ft

Height of the room = 8 feet

Window = 4 ft by 3ft

door = 7ft by 3 ft

Wall paper = 30 inches by 30ft = 2.5ft by 30ft

The total area of the walls of the room is;

Area = Area of the four walls - Area of the two windows and a door.

A = 2LH + 2BH - Area of windows and door

A = 2(12.5×8) + 2(10.5×8) - 2(4×3) -(7×3)

A = 323ft^2

Allowing 10% waste, total area of wallpaper needed is;

At = 323 × 1.10 = 355.3ft^2

Area of wallpaper Aw= 2.5×30 = 75ft^2

Number of wallpaper needed = At/Aw = 355.3/75

N = 4.74 ~= 5 rolls

3 0
3 years ago
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