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3 years ago

What is the length of the diagonal?

Mathematics

2 answers:

Anon25 [30]3 years ago

4 0

The answer is $16\sqrt{8}$ i hope this answer helps you!

Naddik [55]3 years ago

4 0

All the angles of a square are 90°

So a diagonal divides a square into a right angled triangle.

All the sides = 8 ft

Applying Pythagoras theorem,
Length of diagonal = ✓8^2 + 8^2 = ✓(64 + 64)
= ✓ 128
= 8√2

Correct answer is 8✓2

You might be interested in

The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(

Umnica [9.8K]

Answer:

(a) $A_1$ and $A_2$ are indeed mutually-exclusive.

(b) $\displaystyle P(A_1\; \cap \; B) = \frac{1}{20}$ , whereas $\displaystyle P(A_2\; \cap \; B) = \frac{1}{25}$ .

(d) $\displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}$ , whereas $P(A_1 \; |\; B) = \displaystyle \frac{4}{9}$

Step-by-step explanation:

$P(A_1 \; \cap \; A_2) = 0$ means that it is impossible for events $A_1$ and $A_2$ to happen at the same time. Therefore, event $A_1$ and $A_2$ are mutually-exclusive.

By the definition of conditional probability:

$\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}$ .

Rearrange to obtain:

$\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot P(A_1) = 0.25 \times 0.20 = \frac{1}{20}$ .

Similarly:

$\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot P(A_2) = 0.80 \times 0.05 = \frac{1}{25}$ .

Note that:

$\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}$ .

In other words, $A_1$ and $A_2$ are collectively-exhaustive. Since $A_1$ and $A_2$ are collectively-exhaustive and mutually-exclusive at the same time:

$\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}$ .

By Bayes' Theorem:

$\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}$ .

Similarly:

$\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}$ .

6 0

3 years ago

Circle has a radius of 6 cm.

coldgirl [10]

Answer:

d=2r
d=2×6
d=12
circumference =2×pie×r
=2×22/7×6
37.71
SO 37 is the ans

3 0

2 years ago

Consider this linear function:

ivanzaharov [21]

Answer:

(-8,-3)

(-4,-1)

(0,1)

(2,2)

(6,4)

Step-by-step explanation:

One by one, substitue the x values and solve for y

3 0

2 years ago

Does anyone have any offers for my frost fury?

eimsori [14]

Thanks for the point I appreciate it

3 0

3 years ago

You know that a number 8 less than 60 is the number 52. so, you could rewrite your answer from the previous part as, "what numbe

svetoff [14.1K]

I'm a little confused by your question.

You said 60-8 = 52 which is true.

Then, you asked 4x = 52 in an integer form
x = 52/4
x = 13. (Is that what you're asking?)

I'm not sure if this helps, but please comment if you need any help! Hope this helps though! :D

4 0

3 years ago