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olganol [36]
3 years ago
15

Find the missing side Please help thank you!!

Mathematics
2 answers:
Savatey [412]3 years ago
8 0

Answer:

c= \sqrt{41}

Step-by-step explanation:

a^{2} +b^{2} =c^{2} \\4^{2} + 5^{2} = 16 + 25 = \sqrt{41} = c

ElenaW [278]3 years ago
5 0

Answer:

6.4

Step-by-step explanation:

As we can see it is a right angled triangle so

perpendicular (p)= 5

base (b) = 4

hypotenuse (h) = c = ?

we know

by using Pythagoras theorem,

h² = p² + b²

or h = √(p² + b²)

c = √( 5² + 4 ² )

c = √41

c = 6.4

hope it helps :)

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2. The director is also interested in the number of ways to choose a lead singer and a backup singer. In how many ways can the d
Sergeu [11.5K]

Answer:

This question involves a Permutation as the order is important; the lead is chosen first, and then the backup singer is chosen.

Step-by-step explanation:

Consider the provided information.

Whenever the position or order matters, use permutation.

If position or order does not matter, then it's a case of combination.

Now director choose a lead singer and then a backup singer in this case position matters.

Suppose David is lead singer and John is backup singer this scenario is different form John is lead singer and David is backup singer.

Thus, order matter so we will use permutation.

3 0
3 years ago
If x/5 + 6 = -14, then x =
zheka24 [161]

Answer:

\huge\boxed{\sf x = -100}

Step-by-step explanation:

<u>Given Equation:</u>

x/5 + 6 = -14

Subtract 6 to both sides

x/5 = -14 - 6

x/5 = -20

Multiply 5 to both sides

x = -20 × 5

x = -100

\rule[225]{225}{2}

5 0
2 years ago
Read 2 more answers
PLEASE HELP!!! WORTH 3 GRADES
Rufina [12.5K]
The correct answer should be D
6 0
3 years ago
Read 2 more answers
Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is
Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

    Length of Shorter leg = x,

According to the given condition we have

∴  Length of Longer leg = x + 9 feet

∴  Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

substituting the given values we get

(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\

By using Identity (A ± B)² = A² ± 2AB +B²  we get

4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet

Substituting x=27 we get

∴  Length of Longer leg = x + 9 =27 +9 = 36 feet

∴  Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0
3 years ago
A local pizzeria offers 11 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different ty
Wittaler [7]
11*10*9*8*7=55440 combinations

5 0
3 years ago
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