Answer:
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x = 2*y + 8
x * y = 234 Put the first equation into the second.
(2y + 8)*y = 234 Remove the brackets
2y^2 + 8y = 234 Subtract 234 from both sides
2y^2 + 8y - 234 =0 Factor out 2
2(y^2 + 4y - 117) = 0 Divide by 2
y^2 + 4y - 117 = 0
(y + 13)(y - 9)
y = 9 is one answer
x * y = 234
x * 9 = 234 Divide by 9
x = 234/9
x = 26
The two numbers are 9 and 26
80 area- 10 x 8 is 80, that is the area.
Answer:
Step-by-step explanation:
3/16*3/8
3*3=9
16*8=128
9/128
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is ![z = \pm 1.645](https://tex.z-dn.net/?f=z%20%3D%20%5Cpm%201.645)
Step-by-step explanation:
From the question we are told that
The number of observation is greater than 50 i.e. n > 50
The level of significance is ![\alpha = 0.1](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%200.1)
Generally given that n > 30 then we will make use of the z table
So
From the z table the critical value corresponding to the level of significance level for a two-tailed test is
![z = \pm 1.645](https://tex.z-dn.net/?f=z%20%3D%20%5Cpm%201.645)
Answer:
Option 4
Step-by-step explanation:
Given:
Sinθ = ![\frac{15}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B17%7D)
Since, cos2θ = 1 - 2sin²θ
cos2θ = ![1-2(\frac{15}{17})^2](https://tex.z-dn.net/?f=1-2%28%5Cfrac%7B15%7D%7B17%7D%29%5E2)
cos2θ = 1 - ![\frac{450}{289}](https://tex.z-dn.net/?f=%5Cfrac%7B450%7D%7B289%7D)
cos2θ = ![\frac{289-450}{289}](https://tex.z-dn.net/?f=%5Cfrac%7B289-450%7D%7B289%7D)
cos2θ = ![-\frac{161}{289}](https://tex.z-dn.net/?f=-%5Cfrac%7B161%7D%7B289%7D)
Therefore, Option 4 will be the answer.