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Lina20 [59]
3 years ago
7

A wedge of cheese in the shape of a triangular prism is shown below.

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Answer:

144 $ Square feet

Step-by-step explanation:

The given triangular prism comprises of two equal right triangles and three rectangles.

The Surface Area of the Prism

=Area of Two Triangles + Area of Three Rectangles

=2(0.5X6X8)+(6X4)+(10X4)+(8X4)\\=48+24+40+32\\=144 $ Square feet

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Use natural logarithms to solve the equation. Round to the nearest thousandth. 3e^2x +5=27
puteri [66]

Answer:

x=0.996

Step-by-step explanation:

3e^{2x} +5=27

To take natural log ln , we need to get e^2x alone

Subtract 5 on both sides

3e^{2x}=22

Now we divide both sides by 3

e^{2x}=\frac{22}{3}

Now we take 'ln' on both sides

ln(e^{2x})=ln(\frac{22}{3})

As per log property we can move exponent 2x before ln

(2x)ln(e)=ln(\frac{22}{3})

The value of ln(e) = 1

2x=ln(\frac{22}{3})

Divide both sides by 2

x=\frac{ln(\frac{22}{3})}{2}

x= 0.996215082

Round to nearest thousandth

x=0.996

6 0
3 years ago
HURRY I NEED HELP ASAP 30 POINTS Beginning at the origin, how far do you travel along the x-axis when plotting the point below?
ahrayia [7]

Answer:

You travel 15 units of distance along the x-axis

Step-by-step explanation:

You want the distance from (0, 0) to (15, 5) in the x-axis. It is 15. If the question were the distance between the two points, you may use the distance formula or pythagorean theorem.

4 0
3 years ago
Read 2 more answers
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
Andrews [41]

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

5 0
2 years ago
Simplify the expression,<br>cos x cotx + sinx​
olya-2409 [2.1K]

Answer:

cosec x

Step-by-step explanation:

\cos  x \:  \cot x +  \sin  x \\  \\  = \cos  x  \times  \frac{\cos  x }{ \sin  x }  +  \sin  x   \\  \\  = \frac{\cos^{2}  x +\sin^{2}  x }{ \sin  x }  \\  \\  = \frac{1}{ \sin  x }  \\  \\  = cosec x \\  \\   \red{ \boxed{ \bold{\therefore \:  \cos  x \:  \cot x +  \sin  x = cosec \: x}}}

8 0
3 years ago
Read 2 more answers
Select all of the following that have the same value as 30,452.
fgiga [73]

Answer:

d

Step-by-step explanation:

You could just do process of elimination. So for the first one if you add them all up you would get 3,452 which is not correct, for the second one would not be correct since after you do 3 times 104 you can see it is wrong, for c it is also wrong since there is a 30 not a 30,000, for d it is correct since if you write it out is is 30,452, for E it is not correct just by looking at the problem, and for F it cannot be correct since it does not be the right answer

8 0
3 years ago
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