answer.
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
Airida [17]
2 years ago
11

SOVing Problems With Right Triangles: Mastery Test

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is  Charlie when he should have utilized the  sin function. Because he incorrectly selected the  function.

You might be interested in
Match each region with the type of association found between its butterfly population and change in temperature. positive linear
Neko [114]
The first thing you should do is plot each region with respect to the temperature and then observe the behavior of each region.
   Region A: not observable trend
 Region B: exponential trend
 Region C: negative linear trend
 Region D: positive linear trend
 Graphic attachment

7 0
2 years ago
Read 2 more answers
A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit pric
Sladkaya [172]

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

A

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

B

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

6 0
2 years ago
Circle D is shown with the measures of the minor arcs. Which segments are congruent? EH and EF GH and FE FG and EH EF and GF
elixir [45]
I can't really answer this problem if we focus only on the given information. However, I found a similar problem to this with a given diagram. This is shown in the picture attached. As you can observe, two arcs have equal measures of 65° and two have measures of 115°. Thus, the congruent arcs are: <em>EH = HG and EF = GF.</em>

6 0
2 years ago
Read 2 more answers
2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first
Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

(c) For 150 minutes the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

(c) For a duration of 150 minutes, we have;

150 minutes =  2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0
2 years ago
You want to have $31,664 in cash to buy a car in 4 years. you expect to earn 11.5% per year on your savings. how much do you nee
rosijanka [135]
$200. in the math so duh
7 0
2 years ago
Other questions:
  • Curtis Hindle purchased a mountain bike for $650.00 with 75% down. He will make 12 payments of $24.38 each. What is the total am
    9·2 answers
  • Luther evaluated 23 as 9 and Wade evaluated 32 as 9. Are both students correct? Explain why or why not.
    14·3 answers
  • Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the
    8·1 answer
  • Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
    6·1 answer
  • Candidate A is facing two opposing candidates in a mayoral election. In a recent poll of 300 residents, 98 supported candidate B
    12·1 answer
  • A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged
    6·1 answer
  • A farmer sets up two corn mazes for a fall festival, as shown in this model. A model with 2 corn mazes. Corn maze 1 is made up o
    14·2 answers
  • Which expression is equivalent to Two-thirds x minus one-half y minus four-fifths? One-third x minus one-fourth y minus four-fif
    13·2 answers
  • Ben uses a compass and straightedge to bisect segment PQ, as shown: segment PQ with compass open to greater than half of segment
    8·1 answer
  • 1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!