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makkiz [27]
3 years ago
5

The length of a rectangle is 4 less than twice the width. The area of the

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

Width: 7 Length: 10

Step-by-step explanation:

Width: x

length: 2x-4

Area: 70 meters squared

(2x-4)x=70

2x^2-4x=70

2x^2-4x-70=0

2(x^2-2x-35)=0

(x-7)(x+5)=0

x cannot be negative so x=7

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I need the answers for these pls help
DanielleElmas [232]

Answer:

1)

A. m arc QRS = 100°

B. m arc QRT = 255°

C. m arc UTS = 180°

D. m arc UTR = 205°

2)

1] The major arc CA = 255°

2] The minor arc AB = 90°

Step-by-step explanation:

In a circle:

  • The measure of an central angle is equal to the measure of its subtended arc
  • The measure of a circle is 360°
  • Any chord divides a circle into two arcs, a minor arc its measure is < 180° and a major arc its measure is > 180°, the sum of the measures of the minor and major arcs is 360°
  • If the measures of the minor and major arcs are equal, then each arc represents a semi-circle

1)

In circle O

A.

∵ m∠QOR = 75°

∵ ∠QOR subtended by arc QR

- By using the 1st note above

∴ m of arc QR = m∠QOR

∴ m of arc QR = 75°

∵ m∠ROS = 25°

∵ ∠ROS subtended by arc RS

∴ m of arc RS = m∠ROS

∴ m of arc RS = 25°

The measure of arc QRS is the sum of the measures of arcs QR and RS

∴ m arc QRS = 75° + 25° = 100°

B.

∵ m∠SOT = 155°

∵ ∠SOT subtended by arc ST

∴ m of arc ST = m∠SOT

∴ m of arc ST = 155°

The measure of arc QRT is the sum of the measures of arcs QR, RS and ST

∴ m arc QRT = 75° + 25° + 155 °= 255°

C.

∵ m∠UOT = 25°

∵ ∠UOT subtended by arc UT

∴ m of arc UT = m∠UOT

∴ m of arc RUT = 25°

The measure of arc UTS is the sum of the measures of arcs UT and TS

∴ m arc UTS = 25° + 155° = 180°

D.

The measure of arc UTR is the sum of the measures of arcs UT, TS and SR

∴ m arc UTR = 25° + 155° + 25 = 205°

2)

1]

∵ The sum of the measures of the minor and major arcs is 360°

∵ m of minor arc AC = 105°

- Subtract 105 from 360° to find the measure of the major arc CA

∴ m of major arc CA = 360° - 105°

∴ m of major arc CA = 255°

2]

∵ m of major arc AB = 270°

- Subtract 270° from 360° to find the measure of the minor arc AB

∴ m of minor arc AB = 360° - 270°

∴ m of minor arc AB = 90°

8 0
3 years ago
Which of the following is the quotient of the rational expressions shown here?
svetoff [14.1K]

For this case we must find the quotient of the following expression:

\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}

Applying double C we have the following expression:

\frac {x (x + 1)} {x-1} =

Applying distributive property to the terms within the parentheses of the numerator we have:

\frac {x ^ 2 + x} {x-1}

Thus, the quotient is given by option A

Answer:

Option A

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Step-by-step explanation:

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An hour has 60 minutes so 1/40 of an hour is:
(1/40)(60) = 60/40 = 6/4 = 3/2 = 1.5
so 1/40 of an hour is a minute and a half
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