1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mina [271]
3 years ago
8

8

Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer/Step-by-step explanation:

8. m<DEF = 122°

m<FEG + m<DEF = 180° (Angles on a straight line)

m<FEG + 122 = 180 (Substitution)

m<FEG = 180 - 122

m<FEG = 58°

9. m<BOC = 27°

m<AOC = 47°

m<AOB + m<BOC = m<AOC (angle addition postulate)

m<AOB + 27 = 47 (substitution)

m<AOB = 47 - 27 (Subtraction property of equality)

m<AOB = 20°

You might be interested in
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
Classify triangle ABC. Justify your classification
dmitriy555 [2]
The classify triangle ABC is the acute,obtuse,right,or equilateral.
4 0
3 years ago
1. The probability of telesales representative making a sale on a customer call is 0.15.
Mumz [18]

Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

3 0
3 years ago
What is m∠8 if m∠4 = 50°?
r-ruslan [8.4K]

Answer:

D) 50°. You got parallel lines cut by a traversal, so angles 4 and 8 are congruent because they're corresponding angles.

Step-by-step explanation:

6 0
3 years ago
What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

1) 2x-5 = 0 & 2) 3x-1 = 0

1) 2x = 5

x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

6 0
3 years ago
Other questions:
  • The amount of time it takes to complete a reading assignment might be a
    12·1 answer
  • find the approximate length of the leg of a right triangle with one leg length 8 and hypotenuse length 19
    11·2 answers
  • What is the x-intercept and the y-intercept of the line on the graph
    6·2 answers
  • 25 POINTS!! Please help!!!! write with all steps. Thanks!
    6·1 answer
  • Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% apr what will her monthly auto paym
    10·2 answers
  • What is 72 divided by 15
    5·2 answers
  • Explain why multiplying a fraction by 5/6 results in a value that is less than the original fraction
    8·1 answer
  • When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
    9·1 answer
  • Y2-y1
    11·1 answer
  • Please answer ASAP<br> Thank you so much!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!