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stira [4]
3 years ago
15

Amber is packaging up presents to give to her friends. She has 45 pencils and 36 stickers. All of the presents need to contain t

he same amounts of stickers and the same amount of pencils. What is the greatest number of presents that she can make? How many of each item is in each present?
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

The highest quanity of presents possible is 36. She can do up to 1 sticker and 1 pecil for each present with 9 pencils left over

Step-by-step explanation:

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A line m is perpendicular to an angle bisector of ∠A. The sides of ∠A intersect this line m at points M and N. Prove that △AMN i
Ray Of Light [21]

Answer:


Step-by-step explanation:

<em><u>Given</u></em><u>:</u>       A line m is perpendicular to the angle bisector of ∠A. We call this  

                 intersecting point as D. Hence, in figure ∠ADM=∠ADN =90°.

                 AD is angle bisector of ∠A. Hence, ∠MAD=∠NAD.

<u><em>To Prove</em></u>:   <em><u>ΔAMN is an isosceles triangle. i.e any two sides in ΔAMN are</u></em>

<em>                    </em><em><u>equal. </u></em>

<em><u>Solution</u></em>:  Now, In ΔADM and ΔADN

                 ∠MAD=∠NAD     ...(1) (∵Given)

                  AD=AD                ...(2) (∵common side)

                  ∠ADM=∠ADN     ...(3) (∵Given)

                  <u><em> Hence, from equation (1),(2),(3) ΔADM ≅ ΔADN</em></u>

                                                         ( ∵ ASA  congruence rule)

                  ⇒<u><em> AM=AN</em></u>

                  Now, In Δ AMN

                 AM=AN (∵ Proved)

                  Hence, ΔAMN is an isosceles  triangle.


7 0
3 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Sergeeva-Olga [200]
Because it will be  half2 standard deviation which will include 500-700.
2std will include from 300-700.
so it will be half of 95%.
7 0
3 years ago
Which expression represents the volume, in cubic units, of the composite figure?
Kipish [7]

The missing figure is attached

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

Step-by-step explanation:

The figure consists of

  • Two hemispheres
  • A cylinder

The volume of the hemisphere = \frac{2}{3}\pi r^{3} , where r is its radius

The volume of the cylinder = πr²h, where r is its radius and h is its height

∵ The diameter of the hemisphere s and the cylinder is 20 units

∵ The radius = \frac{1}{2} diameter

∴ The radius = \frac{1}{2} × 20 = 10 units

∵ The volume of a hemisphere = \frac{2}{3} πr³

∵ r = 10

- Substitute r by 10 in the rule

∴ The volume of a hemisphere = \frac{2}{3} π(10)³

∵ The volume of the cylinder = πr²h

∵ h = 28 and r = 10

- Substitute h by 28 and r by 10 in the rule

∴ The volume of the cylinder = π(10)²(28)

∵ The volume of the figure = 2(volume of a hemisphere) +

   volume of the cylinder

∴ The volume of the figure = 2( \frac{2}{3} )π(10)³ + π(10)²(28)

∵ 2 × \frac{2}{3} = \frac{4}{3}

∴ The volume of the figure = \frac{4}{3} π(10)³ + π(10)²(28)

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28)

Learn more:

You can learn more about the volume of figures in brainly.com/question/12497249

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
Rebecca baked 48 pizzas to share with her friends. She ate 3 pizzas and gave 5 to each of her friends. Which pair of equations,
soldier1979 [14.2K]
48=5x-3

45=5x
x=9 friends

equation: 48=5x-3



3 0
3 years ago
Read 2 more answers
Which ratio is equivalent to 4:10? Choose ALL the equivalent ratios from i-ready
Kobotan [32]

<u>Answer:</u>

<u>2:5 is the simplified form.</u>

<u>Step-by-step explanation:</u>

  • 4:10
  • => 4/10
  • => 2/5
  • <u>=> </u><u>2:5</u>

<u>Conclusion:</u>

<u>Therefore, the simplified form of 4:10 is</u><u> 2:5.</u>

Hoped this helped.

BrainiacUser1357

7 0
2 years ago
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