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2 years ago

What is the surface area of the right prism below ?

Mathematics

1 answer:

topjm [15]2 years ago

3 0

Answer:

Step-by-step explanation:

First find the area of the 2 bases, the triangles. 6x8= 48\2= 24 + 24= 48

Now find the area of each rectangle, which there are three of them. 8x14= 112, 6x14= 84, 10x14= 140

Now add all rectangles and triangles together 48+ 112+ 84+ 140= 384

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If the measure of each exterior angle of a regular polygon is 18°, determine how many sides the polygon has.

Sveta_85 [38]

we are given

exterior angle is 18

so,

$\theta=18$

now, we can use formula

number of sides of regular polygon = 360/(exterior angle)

so, we get

$n=\frac{360}{18}$

$n=20$

so, number sides is 20..........Answer

7 0

2 years ago

A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba

babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = $\sqrt{opp^2 + adj^2}$

Hypotenuse = $\sqrt{30^2+ 30^2} \approx 42ft$

5 0

3 years ago

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

Romashka [77]

(x^2 +3)(5x+9)

5x^3 + 9x^2 + 15x + 27

3 0

2 years ago

3+-1/1/3 the first half is 3+-1 the second half is 1/3

kolbaska11 [484]

$\bf \cfrac{3\pm1}{\frac{1}{3}}\implies 
\begin{cases}
\cfrac{3+1}{\frac{1}{3}}\\\\
\cfrac{3-1}{\frac{1}{3}}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \cfrac{3+1}{\frac{1}{3}}\implies \cfrac{4}{\frac{1}{3}}\implies \cfrac{\frac{4}{1}}{\frac{1}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{1}\implies \cfrac{4\cdot 3}{1\cdot 1}\implies \cfrac{12}{1}\implies \boxed{12}
\\\\\\
\cfrac{3-1}{\frac{1}{3}}\implies \cfrac{2}{\frac{1}{3}}\implies \cfrac{\frac{2}{1}}{\frac{1}{3}}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{2\cdot 3}{1\cdot 1}\implies \cfrac{6}{1}\implies \boxed{6}$

6 0

2 years ago

1/2 greater than or less than 3/15

Colt1911 [192]

Greater
If we get common denominators
1/2=15/30
3/15=6/30
15>6 therefore 1/2>3/15

5 0

2 years ago