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3 years ago

Find the total surface area of this triangular prism 25 cm 24 cm 10 cm 14 cm

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

Answer:

Area = (Length * (a + a * (sin(Angle γ) / sin(Angle γ + Angle β)) + a * (sin(Angle β) / sin(Angle γ+Angle β)))) + a * ((a * sin(Angle γ)) / sin(Angle γ + Angle β)) * sin(Angle β)

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The entire question is un the picture

n200080 [17]

A) 6x -5y = 5
B) 3x + 5y = 4
Adding the equations:
9x = 9
x = 1

A) 6*1 -5y = 5
A) 6 - 5 = 5y
A) 5y = 1
y = 1/5 = .2

7 0

3 years ago

Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries sh

nikitadnepr [17]

She has to buy $100.00 worth of groceries before her savings equals the membership fee.

4 0

3 years ago

Read 2 more answers

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

4 0

3 years ago

MAY SOMEONE HELP PLZ!!!

serious [3.7K]

(-2,0)(0,1)

slope = (1-0)/(0+2) = 1/2

passing point (3,5)

y = mx + b

5 = 1/2(3) + b

5 = 3/2 + b

5 - 3/2 = b

7/2 = b or b = 7/2

equation

y = 1/2x + 7/2

8 0

3 years ago

Evaluate f(x)=3x-6 when x=2 and x=-4

stiks02 [169]

Answer:

Step-by-step explanation:

Plug in the x

f(2) = 3(-4)-6

2 = -12 - 6

2 = -18

4 0

3 years ago