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Naily [24]
3 years ago
14

Can someone help me understand how to do this?

Mathematics
1 answer:
Ber [7]3 years ago
4 0

Answer:

Step-by-step explanation:

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What's the length of side AB in ∆ABC shown? <br>A. 5 <br>B. √313 <br>C. 6 <br>D. √15​
HACTEHA [7]

Answer:

The value of x = 5 units.

Step-by-step explanation:

Given the right-angled triangle ∆ABC with the following dimensions

AC = a = 12

BC = c = hypotenuse = 13

AB = b = x

Pythagorean Theorem

For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

c=\sqrt{a^2+b^2}

Thus, using the Pythagorean Theorem to determine the value 'x',

b=\sqrt{c^2-a^2}

as b = x, so

x=\sqrt{c^2-a^2}

  • a = 12
  • c = 13

so

x=\sqrt{13^2-12^2}

x=5

Therefore, the value of x = 5 units.

7 0
3 years ago
An agency is studying the income of store managers in the retail industry. A random sample of 25 managers reveals a sample mean
aalyn [17]

Answer:

The Confidence Interval = ($44,745.55 , $46,094.45)

Step-by-step explanation:

The formula for Confidence Interval =

Confidence Interval = Mean ± z × Standard deviation/√n

Where n = number of samples = 25 managers

Standard deviation = $2,050

Mean = $45,420

z = z score of the given confidence interval

= z score of 90% confidence interval

= 1.645

Confidence Interval = $45,420 ± 1.645 × $2,050/√25

= $45,420 ± 1.645 × $2,050/5

= $45,420 ± 674.45

Confidence Interval =

$45,420 - 674.45 = $44,745.55

$45,420 + 674.45 = $46,094.45

Therefore, the Confidence Interval = ($44,745.55 , $46,094.45)

3 0
3 years ago
Her 6. Karen buys a sweatshirt for $30. The sales
Fynjy0 [20]

Answer:

32.1

Step-by-step explanation:

you take 30 times .07 (this was 7% but since you need it to be a decimals you move it over 2 places left). You should get 2.1 and then you add the 2.1 and 30 to get 32.1

7 0
3 years ago
What is the equation of the line in slope-intercept form?
Allisa [31]

Answer: y= -1x-2

Step-by-step explanation:

the line crosses at -2 on the y axis and travels negatively up 1 over 1

7 0
3 years ago
What is the mean of 90, 55, 75, 60, 80, and 90?
ElenaW [278]
90+55+75+60+80+90=450
450/6=75
8 0
3 years ago
Read 2 more answers
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