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bezimeni [28]
3 years ago
8

Find the missing angle ACB. A. 90° B. 70° C. 45° D. 40 E. 20°

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

The answer would be D)

Step-by-step explanation:

The angles of a triangle ALWAYS add up to 180. 70+ 70= 140

140+40= 180

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Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 1
lbvjy [14]

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this <em>single</em> study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

6 0
3 years ago
Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
(x2-13x-48)÷(x+3) dividing polybomials
-BARSIC- [3]
The final awser is x-16
hope this is what u needed
5 0
3 years ago
What is the lateral area of the pyramid?
Mars2501 [29]
Lateral surface are = 2( 1/2 x 11 x 11.9) + 2( 1/2 x 9 x 12.3)

Lateral surface area = 130.9 + 110.7 = 241.6 ft²

Answer: 241.6 ft² (Answer C)
7 0
3 years ago
The small rectangle was enlarged to create the big rectangle.
kow [346]

Answer: the missing measure on the big rectangle is 30 feet.

Step-by-step explanation:

If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.

The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that

x/12 = 5/2

Cross multiplying, it becomes

2x = 12 × 5 = 60

x = 60/2 = 30

7 0
3 years ago
Read 2 more answers
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