Answer:
The area of the lawn is 68 .
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140
Area of triangle = x base x height
= x 3 x 8
= 12
Area of trapezium = (a + b) h
= (5 + 7) 10
= 60
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 .
Answer:
the first one is 24
Step-by-step explanation:
The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
Given the following expression
sin x = 0.5015
Taking the inverse of both sides
sin⁻¹(sinx) = sin⁻¹0.5015
x = sin⁻¹0.5015
x = 30.09 degrees
For the cos function
cos⁻¹(cosx) = cos⁻¹0.5015
x = cos⁻¹0.0670
x = 86.16 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹0.5015
x = tan⁻¹0.5015
x =38.12 degrees
For the tan function
tan⁻¹(tanx) = tan⁻¹9.254
x = tan⁻¹9.254
x = 83.83degrees
Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees
Learn more here: brainly.com/question/4879274
Answer:
Step-by-step explanation:
From the attached photo
mean = 15.76
Standard deviation = 1.66
c) We want to determine a 90% confidence interval for the mean growth of pea plants
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
15.76 ± 1.645 × 1.66/√7
= 15.76 ± 1.645 × 0.63
= 15.76 ± 1.04
The lower end of the confidence interval is 15.76 - 1.04 =14.72
The upper end of the confidence interval is 15.76 + 1.04 =16.8
Given:
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
The angles and are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.