Answer:
The missing value is 6
Step-by-step explanation:
We know that there are 5 values but only 4 are given:
⇒ The given values are: 8, 14, 7, and 13
⇒ Let the fifth value be "x"
We also know the mean which is 9.6
<em><u>Solve for the missing value:</u></em>
⇒ 9.6 (mean) = ![\frac{8 + 14 + 7 + 13 + x}{5 numbers}](https://tex.z-dn.net/?f=%5Cfrac%7B8%20%2B%2014%20%2B%207%20%2B%2013%20%2B%20x%7D%7B5%20numbers%7D)
<em>multiply 5 on both sides </em>
⇒ 9.6 x 5 =
x 5
⇒ 48 = 8 + 14 + 7 + 13 + x
<em>add the numbers:</em>
⇒ 8 + 14 + 7 + 13 + x = 42 + x
<em>the equation becomes: </em>
⇒ 48 = 42 + x
<em>Now, subtract 42 on both sides:</em>
⇒ 48 - 42 = 42 - 42 + x
⇒ 6 = x
Answer:
Subtract; x = 12
Step-by-step explanation:
x + 15 = 27
x + 15 -15 = 27 -15 (Subtraction Property of Equality)
x = 12
Answer:
30 miles
Step-by-step explanation:
Before finding the perimeter of the given right angled triangle, we need to find the length of a.
We'll be using pythagoras property to find the value of a.
According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.
Here,
- Hypotenuse = 13 mi
- Base = 12 mi
- Perpendicular (a) = ?
→ H² = B² + P²
→ H² - B² = P²
→ (13 mi)² - (12 mi)² = a²
→ 169 mi² - 144 mi² = a²
→ 25 mi² = a²
→ √(25 mi²) = a
→ <u>5 mi = a</u>
We know that,
- Perimeter of ∆ = Sum of all sides
→ Perimeter = 13 mi + 12 mi + a
→ Perimeter = 13 mi + 12 mi + 5 mi
→ Perimeter = 30 miles
<u>Perimete</u><u>r</u><u> </u><u>of</u><u> </u><u>the </u><u>triangle</u><u> </u><u>is</u><u> </u><u>3</u><u>0</u><u> </u><u>mi</u><u>l</u><u>e</u><u>s</u><u>.</u>
14 multiplied by 9 is 126
The answer is 126ft