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vredina [299]
2 years ago
5

Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet

and third side 2 point 2 feet. The height of the prism is 3 feet.
Mathematics
1 answer:
mylen [45]2 years ago
3 0

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is  17.6ft²

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The graph shows two straight lines. The equation of line A is y = 2 - x Work out the equation of line B.
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

The equation of a line can be easily found from the graph.  First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run.  Thus, the slope of this line is 5/3.  Then, the  b in y = mx + b is simply when the line intersects the y-axis, in this case -5.  Thus, the equation of the line is

y = -5/3x - 5

Hope it helps <3

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5 0
2 years ago
Which statement is true about the graphed function
natka813 [3]

From -∞ to -4 the blue line is above the X axis which means it is >0

The blue line is negative between -4 and -3


This would make the correct answer: F(x) > 0 over the interval (-∞,-4)

8 0
2 years ago
Read 2 more answers
In developing an interval estimate for a population mean, a sample of 50 observations was used. the interval estimate was 19.76
alexandr402 [8]

 

The formula for interval estimate would be: μ = M ± Z(<span>sM</span>)

Where: μ is estimate

M is the mean 

Z is the z value

(<span>sM</span>) is the standard error

 

μ = M ± Z(<span>sM</span>)

n = 200 rather than 50 (√200 = 2√50)

<span>⇒ ME = (1/2) * 1.32 = .66</span>

<span>Using the formula above, plugging this in will give us: μ = 19.76 ± .66</span>

<span> = 19.76  ±  .66 is the confidence interval or interval estimate</span>

4 0
2 years ago
Mark tossed six balls while playing a number game. Three ball landed in one section, and three balls landed in another section.
luda_lava [24]
Mark's score could be 120,000. Each ball would be worth 20,000 points and since 2,000 times 6 is 120,000, that's how many points he could have. 
4 0
2 years ago
Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,
xeze [42]

Answer:

D. x-\frac{5}{2}y =  \frac{25}{2}

Step-by-step explanation:

Given

y = \frac{2}{5}x - 5

Required

Determine its equivalent

<em>From the list of given options, the correct answer is</em>

x - \frac{5}{2}y = \frac{25}{2}

This is shown as follows;

y = \frac{2}{5}x - 5

Multiply both sides by \frac{5}{2}

\frac{5}{2} * y = \frac{5}{2} * (\frac{2}{5}x - 5)

Open Bracket

\frac{5}{2} * y = \frac{5}{2} * \frac{2}{5}x - \frac{5}{2} *5

\frac{5}{2}y = x - \frac{25}{2}

Subtract x from both sides

\frac{5}{2}y - x = x -x - \frac{25}{2}

\frac{5}{2}y - x = - \frac{25}{2}

Multiply both sides by -1

-1 * \frac{5}{2}y - x * -1 = - \frac{25}{2} * -1

-\frac{5}{2}y + x =  \frac{25}{2}

Reorder

x-\frac{5}{2}y =  \frac{25}{2}

<em>Hence, the correct option is D</em>

x-\frac{5}{2}y =  \frac{25}{2}

9 0
2 years ago
Read 2 more answers
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