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SashulF [63]
2 years ago
15

Find the distance between the points (4,-3) and (5,1) Distance =

Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

d = sqrt(17)

Step-by-step explanation:

d = sqrt( x2 - x1)^2 + (y2 - y1)^2  )

d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )

d = sqrt( (-1)^2 + (-4)^2  )

d = sqrt ( 1 + 16)

d = sqrt(17)

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In 2005 Richard earned £22,000 per year.
Slav-nsk [51]
It’s 45%

Explanation = 31900-22000/22000 • 100 = 45%
6 0
3 years ago
Use pi=3<br> Calculate the area of a circle with a diameter of 10cm
GalinKa [24]
Area of a circle is 75 cm².

Area of a circle is computed by multiplying pi to the square of the radius.

A = πr²

diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3

A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
7 0
3 years ago
A large pizza with diameter of 18 in. is cut into 8 equal slices. How long is the crust of one slice of pizza.
Semmy [17]

Answer:

9

Step-by-step explanation:

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7 0
3 years ago
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an
poizon [28]

Answer:

We have that B = 0.3.

So

0.3 = b + (A \cap B)

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

Step-by-step explanation:

Event A:

Probability that a student has a Visa card.

Event B:

Probability that the student has a MasterCard.

We have that:

A = a + (A \cap B)

In which a is the probability that a student has a Visa card but not a MasterCard and A \cap B is the probability that a student has both these cards.

By the same logic, we have that:

B = b + (A \cap B)

In this problem, we have that:

A = 0.6, B = 0.3

(a) Could it be the case that P(A ∩ B) = 0.5?

We have that B = 0.3.

So

0.3 = b + (A \cap B)

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

8 0
3 years ago
Dante is standing at horizontal ground level with the base of the Empire State Building in New York City. The angle formed by th
enot [183]

Answer:

C. 1307 ft

Step-by-step explanation:

Given:

Angle = 48.4 degrees

Height, opposite side= 1472 feet

his distance from the Empire State Building, base=x

Now as per the trigonometric ratios:

Tan∅= Opposite/base

tan(48.4)= 1472/x

x=1472/(1.13)

x=1302.65

his distance from the Empire State Building is 1302.65 feet!

4 0
3 years ago
Read 2 more answers
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