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tatiyna
3 years ago
6

HELPPPPP

Mathematics
2 answers:
mart [117]3 years ago
7 0

answer is the first one and the last 2

NNADVOKAT [17]3 years ago
6 0

Answer:

<h2>1, 3 and 4 are true statements.</h2>

Step-by-step explanation:

Notice that the given triangle has all three side different, that means it's an scalene triangle.

Additionally, the triangular inequality states that the sum of two sides of a triangle must be greater than the third side, that is

DE+EF>DF\\DE+DF>EF\\DF+EF>DE

So, the first choice is also correct.

Then, we use thes triangular inequalities to find the third true statement.

We know that DE=4 and EF=9

DE+EF>DF\\4+9>DF\\DF

Also,

DE+DF>EF\\4+DF>9\\DF>9-4\\DF>5

Therefore, 5, which means side DF must be between 5 and 13.

The third true statement is the third option.

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One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

  • First Sunday, a=1
  • Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0
3 years ago
If a dozen eggs cost 4.32 then how much would 17 eggs cost?
Sladkaya [172]
A dozen eggs is $4.32 that is 0.36 cents a egg so 17 eggs would be .36x5=$1.80 then $1.80 + $4.32 = $6.12
5 0
3 years ago
Help picture below problem 20
crimeas [40]

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

3 0
2 years ago
Read 2 more answers
A bag of flour weighs 50 2/3 kg what is the total weight of 10 bag​
e-lub [12.9K]

Answer:

506 \frac{2}{3} kg

Step-by-step explanation:

50 2/3=

50×2+3/3

=152/3 kg

next 152/3 ×10

=1520/3

=506 2/3

4 0
2 years ago
What is equivalent to 81 1/3
g100num [7]
1/3 of 81 = 81 • 1/3 = 81/3 = 27
5 0
2 years ago
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