Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
Answer:
.7 or 7/10
Step-by-step explanation:
buddy+teddy:2.9
socko+peanut:2.2
2.9-2.2=.7
Answer:
A is correct, x=7, AB=20
Step-by-step explanation:
All of the options say x=7 so you can just input 7 into 4x-8 to find AB
4(7)-8=AB
28-8=AB
20=AB
Hope this helps, please mark brainliest :)
Answer:
Null Hypothesis,
:
= 2.0 units or
= 2.0 units
Alternate Hypothesis,
:
2.0 units or
2.0 units
Step-by-step explanation:
We are given the following data below and we have test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2;
Pair : 1 2 3 4 5 6 7
Sample1 : 5 6 10 3 6 7 8
Sample2 : 4 4 3 5 5 5 3
Let
= population mean represented by Sample 1
= population mean represented by Sample 2
= population mean matched-pair differences for Sample 1 - Sample 2
So, Null Hypothesis,
:
= 2.0 units or
= 2.0 units
Alternate Hypothesis,
:
2.0 units or
2.0 units
Here null hypothesis states that the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.
On the other hand, alternate hypothesis states that the population represented by Sample 1 has a mean that is not 2.0 units higher than the population represented by Sample 2.