Share £117 In the ratio 5:2:6

What is the length of segment XY?

Brilliant_brown [7]

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0) x₁ = –4 y₁ = 0

Point 2 (3, 2) x₂ = 3 y₂ = 2

Use the formula for the distance between two points.

$L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

$XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}$

$XY = \sqrt{49 + 4}$

$XY = \sqrt{53}$

Therefore the line of segment XY is √53.

6 0

2 years ago

Read 2 more answers

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle betwee

horrorfan [7]

Asked and answered elsewhere.
brainly.com/question/1410592

_____
Google doesn't recognize the terms "defects method" except in association with various postings of this same problem.

4 0

2 years ago

Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying

svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)' [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S) [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S)) [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0

2 years ago

Object A travels in the +x-direction before hitting a stationary object B. Afterwards, object AÍs x-momentum is 5.7 _ 104 kilogr

ANEK [815]

Below are the choices that can be found from other sources:

A. 42
B. 45 
C. 47 
D. 48 
E. 49

The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is 47. The reason for that is from object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4

8 0

2 years ago

Read 2 more answers

A county is in the shape of a rectangle that is 60 miles by 70 miles and has a population of 50,000. What is the average number

lakkis [162]

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

5 0

2 years ago