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3 years ago

The triangular prism shown has1,2,3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

6 0

Answer:

The triangular prism shown has 2 triangular face(s) and 3 lateral face(s).

The area of one triangular face is 7.5 mm2.

The surface area of the triangular prism is 135 mm2.

Just did it on edge-20

blagie [28]3 years ago

4 0

Answer:

7.5

135

Step-by-step explanation:

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ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How m

iVinArrow [24]

The number of lines and triangles illustrates combination

36 lines can be drawn to join the nine points
84 triangles can be drawn using the nine points

<h3>The number of lines that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points

Read more about combination at:

brainly.com/question/11732255

4 0

2 years ago

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.

1. Write the expression.

$\frac{x}{8}+5=42$

2. Substract 5 from both sides and simplify.

$\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\$

3. Multiply 8 on both sides and simplify.

$8*\frac{x}{8}=37*8\\\\x=296$

<u>We have found our number, it's 296!</u>

3 0

2 years ago

Read 2 more answers

Can someone help me find x of this triangle

uysha [10]

Answer:

x = 9

Step-by-step explanation:

Sum of a triangle is 180°.

6x + 1 + 6x - 14 + 9x + 4 = 180°

Arrange the like terms together and simply this equation.

6x + 6x + 9x + 1 + 4 - 14 = 180°

21x - 9 = 180°

Shifting '-9' to the other side of the equation gives you '+9'

21x = 180° + 9

21x = 189

Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)

x = 189 ÷ 21

x = 9

3 0

3 years ago

Please help giving brain liest if correct

MissTica

Answer:

196 gal/minute

Step-by-step explanation:

divide the time by the amount of gallons

8 0

3 years ago

Read 2 more answers

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how

antoniya [11.8K]

Complete Question:

If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.

1. y = 3x + b

2. y = mx + 9

Answer:

1. Intercept, b = -1

2. Slope, m = -2

Step-by-step explanation:

Given the following data;

Points on the line (x, y) = (2, 5)

To find the missing values;

Mathematically, the equation of a straight line is given by the formula;

y = mx + b

Where;

m is the slope.
x and y are the points
b is the intercept.

1. y = 3x + b

Substituting the value of x and y, we have;

5 = 3(2) + b

5 = 6 + b

b = 5 - 6

<em>Intercept, b = -1</em>

2. y = mx + 9

Substituting the value of x and y, we have;

5 = m(2) + 9

5 = 2m + 9

2m = 5 - 9

2m = -4

m = -4/2

<em>Slope, m = -2</em>

6 0

3 years ago