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
satela [25.4K]
3 years ago
14

in right triangle ABC, C is the right angle. Given measure of angle A = 40 degrees and a =6, which of the following are the leng

ths of the remaining two side, rounded to the nearest tenth?

Mathematics
1 answer:
qaws [65]3 years ago
3 0
Tan 40° = 6 / AC
AC = 6 / tan 40°
AC = 6 / .8391
AC = 7.15

AB² = 6² + 7.15²
AB² = 36 + 51.123
AB² = 87.12
AB = 9.33

 

You might be interested in
Plz help me I really need it
Furkat [3]

Answer:

Step-by-step explanation: 2= 41/7     3=  37/9     4=  62/7

6 0
3 years ago
Read 2 more answers
Simplify<br> (X+4)+(2x+3)
vfiekz [6]

Answer:

3x + 7

Step-by-step explanation:

<u>Step 1:  Distribute the plus</u>

(x + 4) + (2x + 3)

x + 4 + 2x + 3

<u>Step 2:  Combine like terms</u>

x <u>+ 4</u> + 2x <u>+ 3</u>

<em>3x + 7</em>

<em />

Answer:  3x + 7

<u>If needed solve</u>

3x + 7 - 7 = 0 - 7

3x / 3 = -7 / 3

<em>x = -7/3</em>

8 0
2 years ago
Read 2 more answers
A certain television is advertised as a 59-inch TV (the diagonal length). If the width of
ArbitrLikvidat [17]

Answer:

32.9 inches

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 49

c =  hypotenuse = diagonal = 59

l² + 49² = 59²

l² = 59² - 49²

3481 - 2401 = 1080

find the square root

32.9 in

3 0
3 years ago
If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.
aleksandr82 [10.1K]

The tangent half angle formula, one of several, is

\tan \dfrac a 2 = \dfrac{1 - \cos a}{\sin a}

We have θ is opposite 4 in the 3/4/5 right triangle so

\cos \theta = \dfrac{3}{5}

\sin \theta = \dfrac{4}{5}

\tan \dfrac{\theta}{2} = \dfrac{1 - 3/5}{4/5} = \dfrac{5-3}{4}=\dfrac{1}{2}

Answer: 1/2

This is actually pretty deep.  It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle.   Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

7 0
3 years ago
In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each ty
WINSTONCH [101]

Let us take number of $5 bills = x and

                   number of $10 bills  = y.

Give that "number of $10 bills is twice the number of $5 bills".

So, y is twice of x,

We can setup an equation.

y= 2x                      ............................... equation(1)

Total value of all bills = $125.

We can setup another equation,

5*(number of $5 bills) + 10*(number of $10 bills) =125.

5(x) +10(y) = 125                         ................................... equation(2)

Plugging y=2x in equation(2), we get

5(x) +10(2x) = 125   .

5x+20x = 125.

Adding like terms

25x = 125

Dividing both sides by 25.

25x /25 = 125/25

x= 5.

Plugging x=5 in first equation, we get

y= 2(5) = 10.

Therefore, number of number of $5 bills=5 bills  and number of $10 bills = 10 bills.


5 0
3 years ago
Other questions:
  • T-19=2 as a one step
    5·1 answer
  • How many millimeters are in 100 cm
    6·2 answers
  • Joanne had $115 to spend at the mall. She spent 23% of that money on a shirt. How much did Joanne spend on the shirt?
    7·1 answer
  • I need help ASAP jsnsnsbdbsbsnsnsnd
    9·2 answers
  • Please respond to this. I need help​
    10·1 answer
  • Yeah I'm failing math, can you pls help?​
    7·1 answer
  • Evaluate 21/a+4 when a=3
    15·2 answers
  • Please need help thank
    15·1 answer
  • HELP ILL GIVE BRAINLIEST QUICKK
    14·1 answer
  • Helppp quick quick 15 points
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!