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jek_recluse [69]
1 year ago
15

From the diagram below, if side DF is 4 cm., side CB would be ______.

Mathematics
1 answer:
kondaur [170]1 year ago
5 0

The measure of CB from the given figure is 8cm

<h3>What is a triangle?</h3>

A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;

  • Equilateral triangle
  • Scalene triangle
  • Isosceles

The given triangle is a scalene triangle since <u>none of the sides are equal</u>

From the figure shown, we can see that the mea<em>sure of DF is equivalent to  CE and EB</em>

Since CB = CE + EB

Given the following parameter

DF = 4cm

CE = EB = DF = 4cm

Substitute

CB = 4cm + 4cm

CB = 8cm

Hence the measure of CB from the given figure is 8cm

Learn more on triangles here; brainly.com/question/25215131

#SPJ1

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What is the length of the diagonal of the square shown below?
yuradex [85]

Answer:

option (B) is correct ......

8 0
3 years ago
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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
3 years ago
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs
maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= 5+3.5

= 8.5 \ minutes

The mean arrival rate will be:

\lambda =\frac{60}{5}

  =7.5 \ cabs/hr

The mean service rate will be:

\mu= 7.05 \ cabs/hr

(1)

The average time a cab must wait will be:

⇒ W_q=22.95-\frac{1}{7.05}

⇒       =\frac{161.798-1}{7.05}

⇒       =\frac{160.798}{7.05}

⇒       =22.81 \ minutes

(2)

The required probability will be:

⇒ P(X\geq 6)=\frac{1-2.115}{1-7.5}

⇒                  =\frac{-1.1115}{-6.5}

⇒                  =0.171

6 0
3 years ago
X
9966 [12]
The answer will be x=23
6 0
2 years ago
Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for $3.10 and a box of 85 screws for $7.65. How m
Degger [83]
3.10/155= 0.02 } subtract = 0.07 more
7.65/85= 0.09 }
7 0
3 years ago
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