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Vanyuwa [196]
3 years ago
11

Find the slope of the skate ramp that has a vertical change of 7 and horizontal change of 35

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

1/5

Step-by-step explanation:

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Assuming the volume of a trigonal prism, who has a side of 10cm and a length of 20 cm, is 866cm^3, what is its surface area?
Leno4ka [110]

The surface area of the triangular prism is 686.6 cm².

Step-by-step explanation:

Step 1:

The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.

The base triangle has a base length of 10 cm and assume it has a height of h m.

The volume of the prism= \frac{1}{2} (b)(h) (length) = \frac{1}{2} (10)(h)(20) = 866.

h = \frac{866(2)}{10(20)} = 8.66.

The height of the triangle is 8.66 cm.

Step 2:

The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.

The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.

The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.

The area of the 2 triangles = 2 [\frac{1}{2} (10)(8.66)] = 86.6.

The area of the 3 rectangle = 3[(20)(10)] = 600.

Step 3:

The surface area of the triangular prism = 86.6 + 600 = 686.6.

The surface area of the prism is 686.6 cm².

6 0
3 years ago
What is the circumference of a circle whose radius is 20 feet?
MrRa [10]

Answer:

125.66ft

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk
Westkost [7]

\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15


\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0
3 years ago
HELP QUICK! which graph represents the solution set for the inequality PICTURE INCLUDED
grandymaker [24]
The answer is C because it equals 9
5 0
3 years ago
9<br> Find the values of r and y.<br> с<br> A<br> 95°<br> B<br> 4x<br> ro<br> D<br> E
Inga [223]

Answer:

  • x = 18°, y = 167°

Step-by-step explanation:

<u>In right triangle sum of two angles is 90°</u>

  • 4x + x = 90°
  • 5x = 90°
  • x = 90°/5
  • x = 18°

<u>Angle y is exterior angle and equals non-adjacent interior angles</u>

  • y = 4x + 95° =
  • 4*18° + 95° =
  • 72° + 95° =
  • 167°
4 0
2 years ago
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