we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that

in this problem

so

Step 
Find the measure of angle A

therefore
the answer is the option
35.5° and 54.5°
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem or a^2+b^2=c^2.
(24)^2+(42)^2=2340
Step-by-step explanation:
Are the 24 and 42 squared already or no just let me know if they are squared then I'll change my answer okay
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
Circumference = 2 x radius x Pi
Circumference = 2 x 0.8 x pi
Circumference = 1.6pi or 5.024 yards
area = r^2 x pi
Area = 0.8^2 x pi
Area = 0.64pi or 2.0096 square yards
Answer:
The correct answer is first option. 270 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of triangle = bh/2 where b - base and h - height
From the figure we can see that height of prism = 36 m
Base is a right angled triangle with base 5 m and height = 3 m
<u>To find the Base area</u>
Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5
<u>To find the volume of prism</u>
Volume = Base area * height = 7.5 * 36 = 270 m³
Therefore the correct answer is first option . 270 m³