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
ehidna [41]
3 years ago
9

Rectangle has diagonal of 28 and forms a60 degree angle with the bases what are the side lengths

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0
Sine (28) = opposite / hypotenuse =
0.46947 = opposite / 28
opposite = 0.46947 * 28
<span><span><span>opposite side = 13.14516 </span> </span> </span>

cosine (28) = adjacent / hypotenuse =
0.88295 = adjacent / 28
adjacent = 28 * .88295
<span><span><span>adjacent side = 24.7226 </span>

Double Check

</span> </span> <span>13.14516^2 + 24.7226^2 = 28^2
</span>
<span> <span> <span> 172.7952314256  </span> </span> </span> + <span> <span> <span> 611.20695076 </span> </span> </span> = 784

<span> <span> <span> 784.0021821856 </span> </span> </span> = 784

Correct to 5 significant figures


You might be interested in
What are the next 2 numbers in this geometric sequence<br><br> -512, -128, -32
Montano1993 [528]
The next two numbers should be -8, -2
8 0
3 years ago
Read 2 more answers
After adding an 8-pound box with 6 identical boxes, the crate weighed 72 boxes
damaskus [11]

After adding 8 students to each of 6 same-sized teams, there were 72 students altogether.

After adding an 8-pound box of tennis rackets to a crate with 6 identical boxes of ping pong paddles, the crate weighed 72 pounds.

The first situation has all equal parts, since additions are made to each team. An equation that represents this situation is 6( x + 8 ) = 72, where x represents the original number of students on each team. Eight students were added to each group, there are 6 groups, and there are a total of 72 students.

In the second situation, there are 6 equal parts added to one other part. An equation that represents this situation is 6x + 8 = 72, where x represents the weight of a box of ping pong paddles, there are 6 boxes of ping pong paddles, there is an additional box that weighs 8 pounds, and the crate weighs 72 pounds altogether.

In the first situation, there were 6 equal groups, and 8 students added to each group. 6( x + 8 ) = 72.

In the second situation, there were 6 equal groups, but 8 more pounds in addition to that. 6x + 8 = 72.

6 0
3 years ago
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the l
Kruka [31]

Answer:

H. 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s the rule ? help :)
Gre4nikov [31]

Answer:

For every x y is cut in half

5 0
3 years ago
Classify the following system of equations.
zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

y =  \frac{3}{2}y + 3

Bottom equation

y =  \frac{3}{2}x + 3

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

4 0
3 years ago
Other questions:
  • Three travelers arrive at a town where there are four hotels. In how many ways can
    12·1 answer
  • Edward wants to determine which skateboarder won a race. The actual time taken by four skateboarders to skate the same distance
    13·2 answers
  • If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for hi
    8·2 answers
  • 3) The coordinates of point A are (−3, 6) and the coordinates of point B are (3, −6). Find the slope of AB
    10·2 answers
  • A light flashes every two minutes a second light flashes every 3.5 minutes and a third light flashes every four minutes if all t
    6·2 answers
  • Which quadrilaterals are classified as types of parallelograms
    8·1 answer
  • According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.
    11·1 answer
  • Please please please helpppp
    5·1 answer
  • Jeffrey's babysitter stayed from 6:25 p.m. until 10:40 p.m. for how much time does the babysitter need to be paid
    10·1 answer
  • Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!