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olga55 [171]
3 years ago
10

What is m∠CAD?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Answer:

100

Step-by-step explanation:

All angles in a triangle equal to 180.

80+20=100

180-100=80

The line is 180

180-80=100

Alex777 [14]3 years ago
4 0

Answer:

100°

Step-by-step explanation:

see attached as reference.

the exterior angle ∠CAD is the sum of its two remote interior angles ∠ACB and ∠CBA

∠CAD = 80 + 20 = 100°

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The coefficient of the second term in the expansion of the binomial (4x+3y) to the 3rd power
kaheart [24]
You can solve this easily by using Pascal's Triangle (look that up if need be).

Here are the first four rows of P. Triangle:

                 1
           1           1
     1          2          1
1        3            3       1
 
 example:  expand (a+b)^3.
 
 Look at the 4th row.  Borrow and use those coefficients:
 
 1a^3 + 3 a^2b + 3ab^2  + b^3

Now expand (4x+3y)^3:

1(4x)^3 + 3(4x)^2(3y)  + 3(4x)*(3y)^2 + (3y)^3

Look at the 2nd term (above):

              3(4x)^2(3y)   can be re-written as 144x^2y.
 
The coeff of the 2nd term is 144.  Note that (4)^2 = 16    
3 0
2 years ago
Simplify <br> (3xˆ5-2)ˆ1/2
ladessa [460]

All you need to do with this problem is convert (3x^5-2)^\frac{1}{2} into a square root. Then you'll get the answer \sqrt{3x^5-2}.

3 0
2 years ago
It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did i
MA_775_DIABLO [31]

Answer:

it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon 17 \frac{5}{6}  minutes to walk to Raj's house

It also took Sheldon 4\frac{5}{8} minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

17\frac{5}{6} - 4\frac{5}{8}=317/24

We can convert this to Mixed fractions as shown 13\frac{5}{24} minutes.

Therefore, it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

4 0
2 years ago
Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37 <br> x=? y=?
lesya692 [45]
<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
   0 + 5y = 97
y  = 97/5
y = 19.4

7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6

Check

-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
3 0
2 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

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Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

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θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
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