Answer:
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
step 3
Find the area of the base of the rectangular prism
step 4
Find the surface area
Answer:
d = 40/7
Step-by-step explanation:
Solve for d:
0.544444 = 28/(9 d)
0.544444 = 49/90:
49/90 = 28/(9 d)
49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:
28/(9 d) = 49/90
Take the reciprocal of both sides:
(9 d)/28 = 90/49
Multiply both sides by 28/9:
Answer: d = 40/7
The domain for which the function is defined is given by:
D. .
<h3>What is the domain of a function?</h3>
The domain of a function is the set that contains all possible input values for the function.
A square root is only defined for non-negative values, hence:
- .
- .
The intersection of these two domains is , hence option D is correct.
More can be learned about the domain of a function at brainly.com/question/10891721
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Step-by-step explanation:
using trig, tangent is equal to opposite over adjacent.
in this case, the angle is 45, opposite is 7, and adjacent is a.
thus tan 45° = 7/a
solve for a to get a = 7/tan 45° = 4.32
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11