Answer:
32
Step-by-step explanation:
The formula needed to solve this question by hand is:
![x^{\frac{m}{n}} =\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D)
256^(5/8) = 8th root of 256^5
256^(5/8) = 8th root of 1280
<u>256^(5/8) = 32</u>
The line segment is translated to the left across the square.
although an image would be useful
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.
Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.
We now know the following:
Angle A: a
Angle B: 5a
Angle C: 4a-5
Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.
So we have: a+5a+4a-5 = 180
We can solve that equation by combining like terms to get: 10a-5=180
We can add 5 to both sides: 10a =185
And divide by 10: a = 18.5
That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.
Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.
One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!
Hope that helps you!!
Answer:
When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.
e.g.
a(x + y) = ax + ay
In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.
(a + b) - (c + d) ≡ (a + b) + -1(c + d)
And so the negative one is distributed across the terms within the brackets.
Answer:
Step-by-step explanation:
- A. 134 is the mode, correct, repeated 5 times
- B. 111 is appears 3 times, incorrect , this number is not part of data set
- C. There are more data values between 130 and 139, correct, there are 8 of them
- D. There are 20 data values, incorrect , there are 23
