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
Allisa [31]
3 years ago
14

11. Lucy has a coin collection of quarters

Mathematics
1 answer:
xenn [34]3 years ago
5 0
She will have 38 quarters
You might be interested in
Pls help i give you brainliest
stepladder [879]
Kimi no toriko ni natte ti shi mae ba kitto
7 0
3 years ago
Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
Solve the following system of equations by substitution.<br> y=-1<br> 5x + 7y = -2
Nady [450]

Answer:

(1,-1)

Step-by-step explanation:

7 0
2 years ago
Which measure is equivalent to 1.5 kg?
Airida [17]

Answer:

number 2.) 1,500g

Step-by-step explanation:

i just know..

7 0
2 years ago
Function f(x) = |x| is transformed to create function g(x) = |x - 7| + 2.What transformations are performed to function f to get
serg [7]

We will have the following:

*Function f is translated 7 units rigth.

*Function f is translated 2 units up.

6 0
1 year ago
Other questions:
  • Paul consumes only books and DVDs. At his current consumption​ bundle, his marginal utility from DVDs is 1212 and from books is
    6·1 answer
  • What fractions are greater than 1
    13·1 answer
  • It has been estimated that an adult T. rex weighed about six tons. Based on that estimate. how many pounds did four adult T.rexe
    7·2 answers
  • Complete the statements about the cone. the height is units. the radius is units. the volume is π cubic units. brainly
    9·2 answers
  • A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 840 f
    12·1 answer
  • Factorise and solve : x^3-x^2-4x+4
    14·1 answer
  • Solve for c: 2a+3b=c
    9·1 answer
  • Need help!!!!!!!!!!!!!!......
    15·2 answers
  • SOMEONE PLZZZ HELP ME PLZZZZZZ
    14·2 answers
  • A 35-foot tall pole is leading towards a building. To stop the pole from leaning
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!