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
sergiy2304 [10]
3 years ago
14

In right ∆ABC, m B = 90°, m C = 40°, and BC = 10. What are the other two side lengths of the triangle?

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0
Angle at point A = 180 - 90 - 40 = 50 degrees
To find 2 remaining lengths of sides of triangle we just need to use basic trigonometry.

cos40 = 10/AC   =>  AC = 10/cos40 = 13.05
tan40 = AB/10   =>   AB =  10*tan40 = 8.39

If we want to check this we can use Pythagoras theorem:
AB^2 + BC^2 = AC^2   and see that lengths that we calculated are correct.
You might be interested in
. ∆ABC ~ ∆DEF. Since the triangles are similar, the ratio of AB/DE must be the same as the ratio of ?/DF. What segment complete
givi [52]

Answer:

AC

Step-by-step explanation:

∆ABC ~ ∆DEF

AB/DE

∆ABC ~ ∆DEF

AC/DF

Answer: AC

5 0
3 years ago
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. Write an equation that gives the amo
-Dominant- [34]

Answer:

y=2x

it already gives you that in 2 hours four inches of snow has fallen. to find one hour you would basically just divide it in half

8 0
3 years ago
Help PLEASE!!!! I don’t understand this
ra1l [238]
In the first problem you are given a formula (y = 3x), along with a table.
From the data in the table, find the slope of the linear equation that relates x and y in that data.

Then compare the two slopes.  Which is the greater?  the smaller?

6 0
4 years ago
What fractions are equivalent to 1.27 repeated
kramer
<span>Let x equal your repeating decimal. Call this equation x = 1.273
</span><span>Multiply both sides of your previous expressions by 100. Call this equation 100x = 127.273
</span><span>Subtract 1 from both sides of the equation to get 99x = 126.
</span><span>Divide both sides of the equation by 99 to get 126/99.
</span><span>126/99 reduced is to its lowest terms is 1 and 3/11.
</span>
3 0
4 years ago
The circle with center C was used as a model for a swimming pool. The length of <img src="https://tex.z-dn.net/?f=%5Coverline%7B
SpyIntel [72]

Answer:

314.16

Step-by-step explanation:

Because we have the radius given to us by BC, we can simply input it into the formula to find the area of a circle, pi(r)^2.

After we insert the given radius, we have pi(10)^2.

We can simply input it into our calculator to find the answer.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to 3 divided by 74 in partial products
    14·1 answer
  • Which equation best represents this situation?  The number 88 is equal to a number divided by 11.   A. 88 = 11g   B. 88 = 11 + g
    5·1 answer
  • A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has
    8·1 answer
  • Greatest common factor of 126
    6·2 answers
  • Which phrase best describes taxable income?
    10·1 answer
  • Write y=2(x + 6)(x + 3) in standard form
    12·1 answer
  • Need help here plss
    6·1 answer
  • Use the slope formula to find the slope of the line that passes through the given points .
    5·2 answers
  • The oldest elephant at a zoo eats 162 pounds of hay per day. This elephant eats 3 times as much hay as the youngest elephant. Ho
    8·1 answer
  • Please help with math problem give 5 star if do
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!