1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
3 years ago
8

Line segment ON is perpendicular to line segment ML.

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Answer:

The length of NP is 2 units.

Step-by-step explanation:

Given the radius of 5 units and the length of MP is 4 units in the circle

we have to find the length of NP    

OL=OM=5 units  ( ∵ Radii of same circle)

In ΔOMP, by Pythagoras theorem

OM^2=MP^2+OP^2

5^2=4^2+OP^2

OP^2=25-16=9

OP=3 units

As we see

ON=OP+NP

5=3+NP

NP=5-3=2\thinspace units

Hence, the length of NP is 2 units.

Option D is correct.

You might be interested in
Write sin81 in terms of cosine
strojnjashka [21]

Answer:

Since 81° is less than 90, we can express this in terms of a cofunction. sin(θ) = cos(90 - θ) sin(81) = cos(90 - 81) sin(81) = cos(9)

Step-by-step explanation:

7 0
2 years ago
Solve for y <br> y+5.6=8.44
Mamont248 [21]

Answer:

y = 2.84

Step-by-step explanation:

y+5.6=8.44

Subtract 5.6 from each side

y+5.6-5.6=8.44-5.6

y = 2.84

7 0
3 years ago
Read 2 more answers
Question 10, 4.A.27
anygoal [31]

dun dun dunnnnnnnnnn

3 0
3 years ago
The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue candies in the bag, how many red candies are th
maxonik [38]
25 candy_*_>/>_*%*%`=`:`:*/`:&
5 0
3 years ago
What is the smallest prime number p such that
Ne4ueva [31]

The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>

The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.

i.e.

  • p^3 + 4p^2 + 4p

By factorization, we have:

  • = p(p+2)²

Now, to get exactly 30 divisor.

  • (p+2)² requires to give us 15 factors.

Therefore, we can have an equation p + 2 = p₁ × p₂²

where:

  • p₁ and  p₂ relate to different values of odd prime numbers.

So, for the least values of p + 2, Let us assume that:

  • p₁ = 5 and p₂ = 3

p + 2 = 5 × 3²

p + 2 = 5 × 9

p + 2 = 45

p = 45 - 2

p = 43

Therefore, we can conclude that the smallest prime number p such that

p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.

Learn more about prime numbers here:

brainly.com/question/145452

#SPJ1

8 0
2 years ago
Other questions:
  • Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t
    9·1 answer
  • I need help to figure this out?<br>can someone help me?
    12·1 answer
  • a rectangular prism has a volume of 120 cm ^3. it's length is 5 cm and it's width is 8 cm . what is the prisms height
    5·1 answer
  • A student is trying to solve the system of two equations given below:
    12·2 answers
  • There is a 85% chance that you will go to a Eagles concert given that the weather is good. If there is a 60% chance that the wea
    14·1 answer
  • Maxwell bought a new pair of skis for $350. He put $110 down and received a students discount of $30. His mother gave him 1/2 of
    13·2 answers
  • What is the measure of
    11·1 answer
  • What is six fourths plus five tenths?
    8·1 answer
  • 1. 5 - 3/8
    5·2 answers
  • The distance across a two lane road
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!