Answer:
C. 4 X (3 + 8 – 6)
Step-by-step explanation:
3 + 8 = 11
11 - 6 = 5
5 x 4 = 20
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
45 square feet is the area of the base of the pedestal.
what is rectangular prism?
- A rectangular prism is a 3D figure with 6 rectangular faces.
- To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
Learn more about rectangular prism
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Answer:
The multiple zero is 
.
The multiplicity is 2
Step-by-step explanation:
The given function is
To find the zero of this function, we equate it to zero.
We factor to obtain;
Observe that; the expression within the parenthesis is a perfect square.
This implies that;
This implies that;
Either 
or 
has a multiple zero which is
and its multplicity is 2.
A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re
gayaneshka [121]
Answer:
356 cm².
Step-by-step explanation:
Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;
Area of rectangle = width × length = 6 × 4 = 24 cm².
Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;
Area of a circle = (radius)^2 × π.
Area of a circle = (11)^2 × π = 380.13 cm².
Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.
That is; 380.13 cm² - 24 cm² = 356.13 cm².
