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Blizzard [7]
3 years ago
11

Jose draws AABC. AB has a length of 10 inches and BC has a length of 15 inches. Determine whether each measurement could be the

length of AC. Choose Yes or No for each measurement. A Yes B No 5. 4 inches 6. 15 inches Yes No 7. 23 inches Yes No 8. 5 inches Yes No​
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Answer: The length of AC should be between 5 inches and 25 inches

Step-by-step explanation:

Jose in this problem draws a triangle, AABC.

We know the length of two sides of the triangle:

AB = 10 inches

BC = 15 inches

The length of the third side in a generic triangle can be calculated using the cosine theorem: where

a, b, c are the three sides

is the angle opposite to side

Looking at the formula, we observe that:

- The maximum value for  is obtained for , so that . In this case, the length of the missing side  (AC, in this case) is

So, the length of AC must be between 5 and 25 inches.

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A line passes through the points (8, – 7) and (6, – 3). What is its equation in slope-intercept form?
mario62 [17]

Answer:

y = − 2 x + 9

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

4 0
3 years ago
Yoshi made a scale drawing of his yard. The scale drawing is 1 centimeter = 0.5 meter. The length of the patio is 4.5 centimeter
ozzi

here's your answer

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8 0
3 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below
vladimir2022 [97]

Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

7 0
2 years ago
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi
dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0
3 years ago
Consider the following scenario: Let P(C) = 0.4. Let P(D) = 0.5. Let P(C|D) = 0.6. a. Find P(C AND D). b. Are C and D mutually e
Nataly_w [17]

a. By definition of conditional probability,

P(C | D) = P(C and D) / P(D)  ==>  P(C and D) = 0.3

b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.

c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.

d. Using the inclusion/exclusion principle, we have

P(C or D) = P(C) + P(D) - P(C and D)  ==>  P(C or D) = 0.6

e. Using the definition of conditional probability again, we have

P(D | C) = P(C and D) / P(C)  ==>  P(D | C) = 0.75

3 0
3 years ago
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