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saveliy_v [14]
2 years ago
15

What is the surface area of this rectangular prism?

Mathematics
1 answer:
dybincka [34]2 years ago
3 0

Answer:

256 ft²

Step-by-step explanation:

4 lateral faces + 2 bases

The total area

=2 \times (12 \times 4) + 2 \times (12 \times 5) + 2 \times (5 \times 4)

= 96 + 120 + 40

= 256

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Find the least number of people that need to be randomly seated in a row of 49 chairs to be sure that 5 or more consecutive chai
Reil [10]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29 where x is the distance from the
kirza4 [7]
Below is the solution:

f(x)=−4(x2−6x+9−9)−29

<span> (</span>x2−6x+9)=(x−3)(x−3)

f(x)=−4((x−3)2−9)−29

f(x)=−4(x−3)2−4(−9)−29

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That's the equation we got by completing the square.

y=a(x−h)2+k

That's the formula of a parabola in "vertex" form. Notice the similarity? The two are equal if we say

y=f(x)

a=−4

h=3

k=7


Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>


8 0
3 years ago
Read 2 more answers
Use the Law of Cosines to determine the length of the third side of the triangle.
Alchen [17]

<u>Corrected Question</u>

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of 35^\circ. Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of 35^\circ.

Using Law of Cosines

a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm

The correct option is D.

6 0
2 years ago
Helllllllllpppp !!!!!!!!
AURORKA [14]
O = x, h=15 angle = 23
sin 23 = o/h
sin 23 x 15 = x
x=5.9 --> C
4 0
3 years ago
A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the
klemol [59]
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 
4 0
3 years ago
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