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Anna35 [415]
2 years ago
14

In the triangle RST the measure of RST is 109 degrees , and the measure of STR is 28 degrees

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Answer:

the answer is 63°.

please give thanks if it helps.

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15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

Answer:

The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:

logb(a) = x ⇒ a = bˣ

So, for b = 0 ⇒ 0ˣ = a

And there is impossible, "a" only could be 0.

For b = 1 ⇒ 1ˣ = a

And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.

For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.

So, 0<b<1 and b >1.

3 0
3 years ago
How do you calculate diameter
sergij07 [2.7K]
To calculate the diameter of a circle, multiply the radius by two.
7 0
3 years ago
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
2 years ago
Read 2 more answers
Use the unit circle to find cos Θ.
zalisa [80]

Answer:

\frac{\sqrt{2}}{2}

Step-by-step explanation:

Start by determining the simpler angle 2\pi-\theta (or, the complement of the highlighted angle in red on your image). The cosine of that angle is

\cos (2\pi-\theta) = \frac{x}{1}=\frac{\frac{\sqrt{2}}{2}}{1}=\frac{\sqrt{2}}{2}

Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is: \frac{\sqrt{2}}{2}

3 0
2 years ago
Read 2 more answers
Given fx ( ) = 2x 2 + 4 f 2 , determine ( ) f −1 and () .
TEA [102]

Answer:

<h2>12 and 6</h2>

Step-by-step explanation:

The equation is not properly formatted presumably here is the format.

Given

f(x) = 2x^2 + 4

determine f(2) , and f(−1).

So we are expect to perform substitution operation and return an answers for values of x= 2 and x= -1

1. When x= 2 we have

f(2) = 2*2^2 + 4\\\\f(2)= 2*4+4\\\\f(2)= 8+4\\\\f(2)= 12

2. When x= -1 we have

f(-1) = 2*-1^2 + 4\\\\ f(-1)= 2*1+4\\\\ f(-1)= 2+4\\\\ f(-1)= 6

5 0
3 years ago
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