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Shtirlitz [24]
3 years ago
12

The three towns of Ripon, Sparta,

Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

Obtuse triangle and x=38

Step-by-step explanation:

38 + 104 + x = 180

142 + x = 180

x = 38

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16.750)
Romashka [77]

Answer:

so what are you needing help with i dont understand the question

Step-by-step explanation:

7 0
3 years ago
An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
Repeated decimals can be written as an infinite geometric series to help convert them to a fraction. Consider the repeating deci
Oksi-84 [34.3K]

Answer:

a1= 0.23

r=0.01

:)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. S
kow [346]
The answer is 1.1 pounds left.
4 0
3 years ago
17-(5-p)=2(5p-16)<br> Step by step explanation please
12345 [234]

Answer:

p=  44 /9

(44 over 9)

Step-by-step explanation:

3 0
3 years ago
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