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sdas [7]
4 years ago
10

Find the surface area of the triangular prism

Mathematics
1 answer:
pshichka [43]4 years ago
5 0

Answer:

169 cm^2

Step-by-step explanation:

Right surface (rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Left surface (hidden rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Bottom surface (hidden rectangle)

A = LW = 9 cm * 5 cm = 45 cm^2

Front face = back face = 2 * triangle

A = 2 * bh/2 = 2 * 9 cm * 6 cm/2 = 54 cm^2

total surface area = 35 cm^2 + 35 cm^2 + 45 cm^2 + 54 cm^2 = 169 cm^2

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Q
Tema [17]

Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{10-4}{6-(-6)}

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

4 0
3 years ago
How do you Simplify :(2p^-3)^5
iragen [17]

Answer:

The final simplification is (32p^-15).

Step-by-step explanation:

Given:

(2p^-3)^5 we have to simplify.

Property to be used:(Power rule)

Power rule states that: (a^x)^y=a^x^y ...the exponents were multiplied.

Using power rule.

We have,

⇒(2p^-3)^5          

⇒(2^5)(p^-3^*5)     ...taking exponents individually.

⇒32(p^-^1^5)         ...2^5=2*2*2*2*2=32

⇒32p^-^1^5

So our final values are 32p^-15

3 0
3 years ago
Determine whether (2, - 1) and (-4, 2) satisfy the inequality 2x – 3y > 4.
Xelga [282]

Answer:

emngtehrge

Step-by-step explanation:

egrbrrg

7 0
3 years ago
Geometry help please
lina2011 [118]
Hello!

The equation to find the volume of a cone is

\pi  r^{2}  \frac{h}{3}

r is radius
h is height

Put in the values we know

3.14 *  9^{2} *  \frac{4}{3}

Square the number

3.14 * 81 *  \frac{4}{3}

multiply 81 by 3.14

254.34 *  \frac{4}{3}

Multiply

339.12

The answer is 339.1 cubic inches

Hope this helps!
7 0
3 years ago
Which of the following is defined by a line parallel to one side of a triangle
Katarina [22]

Answer:

Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

  • If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

DE║AC

then

\frac{BD}{DA} = \frac{BE}{EC}

Therefore, Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

Learn more about Triangle Proportionality Theorem from brainly.com/question/11827486

#learnwithBrainly

3 0
3 years ago
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