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3 years ago

ABCD is a rectangle. What is the value of x?

Mathematics

2 answers:

Archy [21]3 years ago

5 0

Pythagorean Theorem = a^2 + b^2 = c^2
a = 56
c = 65
56^2 + b^2 = 65^2
3136 + b^2 = 4225
b^2 = 1089
b = 33
x = 33
The answer is C. 33 meters

AnnyKZ [126]3 years ago

5 0

The answer would be 33 cm

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25.5 divided by 1.25

Artist 52 [7]

the answer is 20.4 and I hope this helps!

5 0

3 years ago

Why did the kindergartner take her books to the zoo?

monitta

To feed them to the animals

8 0

3 years ago

25,812-4.2d=31.311-5.5d

Bas_tet [7]

Let's solve your equation step-by-step.

25812−4.2d=31.311−5.5d

Step 1: Simplify both sides of the equation.

25812−4.2d=31.311−5.5d

25812+−4.2d=31.311+−5.5d

−4.2d+25812=−5.5d+31.311

Step 2: Add 5.5d to both sides.

−4.2d+25812+5.5d=−5.5d+31.311+5.5d

1.3d+25812=31.311

Step 3: Subtract 25812 from both sides.

1.3d+25812−25812=31.311−25812

1.3d=−25780.689

Step 4: Divide both sides by 1.3.

1.3d

1.3

−25780.689

1.3

6 0

3 years ago

Read 2 more answers

A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.5$

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 4) + P(X > 4) = 1$

We want to find $P(X > 4)$ . So

$P(X > 4) = 1 - P(X \leq 4)$

In which

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061$

$P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854$

$P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056$

$P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222$

$P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898$

Finally

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102$

91.02% probability of selling more than 4 properties in one week.

8 0

3 years ago

Diogo and his 4 friends want to share the cost of a meal equally. They order

Step2247 [10]

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

3 0

3 years ago