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Elden [556K]
3 years ago
5

a 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pi

ece is one inch more than 5 times the length of the first piece. find the lengths of the pieces.
Mathematics
1 answer:
vodomira [7]3 years ago
4 0
<span>Let's first establish "x" for the first piece of steel. The second one is going to be "2x" and the 3rd piece will be 5x+1. Now we can set ou the equation as:
x+2x+5x+1=25 Combine like terms to get:
8x+1=25 Now subtract 1 from both sides to result in:

</span><span>8x=24 Divide 8 into both sides to get:
x=3 inches for the first one. 
I'll let you figure the lengths of the other 2 pieces.</span><span>

</span>
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Tasya [4]

Answer:

20/7

Step-by-step explanation:

5 0
3 years ago
Find the area of the shaded region. Round the the nearest tenth.
Brums [2.3K]

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = \frac{\theta}{360^{\circ} }\pi r^2

Area of sector = \frac{123}{360} \times 3.14 \times (18.6)^2

Area of sector = 371.157 m^2

Area of triangle = \frac{1}{2} \times a \times b \times Sin x

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = \frac{1}{2} \times 18.6 \times 18.6 \times Sin 123

Area of triangle = 145.073 m^2

So, Area of shaded region = Area of sector - Area of triangle

                                            =371.157 m^2-145.073 m^2

                                            =226.084 m^2

Hence the area of the shaded region is 226.084 sq.m.

5 0
4 years ago
Mr. Lau drove for 4 hours at a constant speed of r miles per hour.
Ivanshal [37]

Answer:

54 m/h

Step-by-step explanation:

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6 0
3 years ago
Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?
Deffense [45]

Answer:

7x+6 = 5(x+6)

Step-by-step explanation:

x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)

In 6 years, Harry's age will be x+6.

In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...

... 7x+6 = 5(x+6)

_____

Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).

7 0
3 years ago
Read 2 more answers
Would appreciate the help 24 points
andre [41]

Answer:

13) Rectangle

14) parallelogram

15) co ordinates areD (0,a) andE (c,b)

16) co ordinates are D(0,b) and E(a,0)

17)(-1,1) (4,1) (-1,4)

18)(0,0) (a,0) (a,a) (0,a)

Step-by-step explanation:

<h3>13)</h3><h3>Rectangle</h3>

The opposite sides of a rectangle are parallel and equal

left height = right height

(by using distance formula)

(0,3),(2,-2) = (5,5),(7,0)

√(2-0)²+(-2-3)² = √(7-5)²+(0-5)²

√(2)²+(-5)² = √(2)²+(-5)²

√4+25 = √(2)²+(-5)²

√29 = √29 hence equal

<h3>14)</h3><h3>parallelogram</h3>

The opposite sides of a rectangle are not equal

left height = right height

(by using distance formula)

(0,0),(3,-4) = (3,4),(7,0)

√(3-0)²+(-4-0)² = √(7-3)²+(0-4)²

√(3)²+(-4)² = √(5)²+(-4)²

√9+16 = √(25)+(16)

√(25) ≠√41

5 ≠ √41

<h3>15)</h3><h3>co ordinates are D(0,a) and E(c,b)</h3><h3>16)</h3><h3>co ordinates are D(0,b) and E(a,0) </h3>

since rhombus have equal opposite sides

<h3>17)</h3><h3>(-1,1) (4,1) (-1,4)</h3><h3>18)</h3><h3>(0,0) (a,0) (a,a) (0,a)</h3><h3 />

6 0
3 years ago
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