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2 years ago

What is the value of x?

Mathematics

1 answer:

Drupady [299]2 years ago

3 0

I think we have to use Pythagorean Therom here
a² + b² = c²
First we need to know the height of the Triangle (which is YT)
Let "b" be the height YT:
22² + b² = 77²
484 + b² = 5929
b² = 5929 - 484 = 5445
√b² = √(5445)
b = √5445 = 73.79ft
Now that we have the height lets find the missing base(YK):
We are going to use the same formula, but this time to find the base and with a different triangle.
a² + 73.79² = 87.5²
a² + 5444.96 = 7656.25
a² = 7656.25 - 5444.96
a² = 2211.29
√a² = √(2211.29)
a = √2211.29 = 47.02
Now we can add the bases together to find x.
Bases "VY" and "YK"
x = 22+47
x = 69

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4⁻⁴

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2 years ago

Find the distance between (-6, -12) and (4,8) using the distance formula.

Romashka [77]

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

Place the x and y values

(4 - - 6)² + (8 - - 12)²

= 10² + 20²

= 100 + 400 = 500

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Round it to the nearest tenth, and you will get 22.4

Hope this helps!

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11 months ago

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Mary is making pillows for her Life Skills class. She bought 2.5 yards of fabric. Her total cost was $15. What was the cost per

m_a_m_a [10]

Answer:$6/Yard

Step-by-step explanation:

You make it into an algebraic expression, 2.5x=15.

Then, you divide both sides by 2.5

2.5x=15, 2.5x/2.5 =x, 15/2.5=6.

x=6.

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2 years ago

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A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

balu736 [363]

Answer:

$P(X \ge 1) = 0.509$

$P(X \ge 1) = 0.6807$

Step-by-step explanation:

From the question we are told that

The number of students in the class is N = 20 (This is the population )

The number of student that will cheat is k = 3

The number of students that he is focused on is n = 4

Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally probability mass function is mathematically represented as

$P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}$

Here C stands for combination , hence we will be making use of the combination functionality in our calculators

Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

Here

$P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ 1 * 2380}{ 4845}$

$P(X \le 0) = 0.491$

Hence

$P(X \ge 1) = 1 - 0.491$

$P(X \ge 1) = 0.509$

Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

$P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]$