Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.
Answer:
Step-by-step explanation:
Applying BODMAS here;
We first solve what is in the brackets:
9x - 81 -3 = -8x - 16
We then put the like terms together:
9x + 8x = -16 + 81 + 3
We then do the addition:
17x = -16 + 84
We then do the subtraction:
17x = 68
Simplifying this gives:
x = 
= 4
Answer:
2,3,6,7
Step-by-step explanation: Standard form is Ax+By=C
Number one and 4 are in point slope form. Number 5 has no y.
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - -
</h3>
➷ You have to use pythagoras' theorem to find the diameter.
➶Hope This Helps You!
➶Good Luck :)
➶Have A Great Day ^-^
↬ Hannah ♡
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
