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Darya [45]
1 year ago
5

Polly and Percy were sharing a bag ofjelly beans. The bag contained 52 orange, 63 lime, 72 cherry, 28 lemon and 65 grape. If Pol

ly closes her eyes and pulls out the first jelly bean, what is the probability that the jelly bean is lemon?
A) 1/2
B) 1/4
C) 3/4
D) 1/10
Mathematics
1 answer:
wel1 year ago
6 0

Answer:

Step-by-step explanation:

b

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In isosceles △ABC (AC = BC) with base angle 30° CD is a median. How long is the leg of △ABC, if sum of the perimeters of △ACD an
SIZIF [17.4K]

Note necessary facts about isosceles triangle ABC:

  • The median CD drawn to the base AB is also an altitude to tha base in isosceles triangle (CD⊥AB). This gives you that triangles ACD and BCD are congruent right triangles with hypotenuses AC and BC, respectively.
  • The legs AB and BC of isosceles triangle ABC are congruent, AC=BC.
  • Angles at the base AB are congruent, m∠A=m∠B=30°.

1. Consider right triangle ACD. The adjacent angle to the leg AD is 30°, so the hypotenuse AC is twice the opposite leg CD to the angle A.

AC=2CD.

2. Consider right triangle BCD. The adjacent angle to the leg BD is 30°, so the hypotenuse BC is twice the opposite leg CD to the angle B.

BC=2CD.

3. Find the perimeters of triangles ACD, BCD and ABC:

P_{ACD}=AC+CD+AD=2CD+CD+AD=3CD+AD;

P_{BCD}=BC+CD+BD=2CD+CD+AD=3CD+AD;

P_{ABC}=AC+BC+AB=2CD+2CD+AD+BD=4CD+2AD.

4.  If sum of the perimeters of △ACD and △BCD is 20 cm more than the perimeter of △ABC, then

P_{ACD}+P_{BCD}=P_{ABC}+20,\\ \\3CD+AD+3CD+AD=4CD+2AD+20,\\ \\6CD+2AD=4CD+2AD+20,\\ \\2CD=20.

5. Since AC=BC=2CD, then the legs AC and BC of isosceles triangles have length 20 cm.

Answer: 20 cm.

8 0
2 years ago
Read 2 more answers
A cone-shaped pile of gravel has a diameter of 30 m and a height of 9.1 m.
Arte-miy333 [17]
D/2=r
vcone=(1/3)hpir^2
given
d=30
h=9.1
d/2=30/2=15=r

v=(1/3)9.1pi15^2
v=(9.1/3)pi225
v=682.5pi
use 3.141592 to aprox pi
v=2144.13654
the closese is the first one
answer would be 2120 m³
6 0
1 year ago
Read 2 more answers
A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y
Vsevolod [243]

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence.  Their yard is similar but has a scale factor of 8/5 times the size of  yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is \frac{8}{5} times your yard, so your friend should purchase \frac{8}{5} times the 319 feet.

\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}

\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}

\text{Length of fence your friend should purchase}=510.4\text{ ft}

Upon rounding our answer to nearest foot, we will get:

\text{Length of fence your friend should purchase}\approx 510\text{ ft}

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

5 0
1 year ago
Tonya has 39 packages. Each package weighs 58 pounds. Choose the best estimate of the total weight of the packages
kati45 [8]

Answer:

2400 lbs

Step-by-step explanation:

To find the best estimate, you have to round the numbers to the nearest ten.

39 -> 40

58 -> 60

40 x 60 = 2400

4 0
1 year ago
Markup = original cost × percentage markup selling price = original cost + markup The manufacturing cost of a cell phone was $12
strojnjashka [21]

C.) Old Price: $148.80; New Prices: $142.60

Using The Formula Given

M = O x P = O + M

Markup Value After 20% Is $148.80

Markup Value After 15% is $142.60

8 0
1 year ago
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