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4 years ago

Can someone help me with these

Mathematics

1 answer:

ira [324]4 years ago

4 0

12 is a
13 is b
14 is d
15 is 1 217/1250

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The nail polish hold 0.35 more ounces than the perfume bottle

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Sedaia [141]

Answer:

The amount of steel used = 94.38 $m^{2}$

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = $\frac{diameter}{2}$

= $\frac{4.2}{2}$

radius = 2.1 m

Total surface area of a cylinder = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

= 2 $\pi$ r(r + h)

= 2 x $\frac{22}{7}$ x 2.1 (2.1 + 4.5)

= 44 x 0.3 (6.6)

= 87.12

Total surface area of a cylinder = 87.12 $m^{2}$

Since $\frac{1}{12}$ of the steel was wasted, then;

$\frac{1}{12}$ x 87.12 = 7.26 $m^{2}$

Actual area of steel sheet used = 87.12 + 7.26

= 94.38 $m^{2}$

Thus, 94.38 $m^{2}$ of steel was used in making the tank.

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3 years ago

A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr

Hoochie [10]

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

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3 years ago

A rectangular hotel room is 3 meters by 5 meters. The owner of the hotel wants to re carpet the room with carpet that cost $15.0

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Answer:

Step-by-step explanation:

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The rectangular hotel room is 3 meters by 5 meters. The area of the room would be

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