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3 years ago

What is the area of the base?

Mathematics

1 answer:

MAXImum [283]3 years ago

7 0

Answer:

24 in²

Step-by-step explanation:

Hello there!

the figure shown is a triangular prism

The base is the triangle

So we need to find the area of the triangle using this formula

$A=\frac{bh}{2}$

where b = base and h = height

The base (triangle) has a base length of 8 inches and a height of 6 inches

Having found the information we needed, we plug it into the formula

$A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2$

So the area of the base is 24 in²

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In a year group there 100 boys and 140 girls. Write as a ratio the number of boy to the number of girls. Give the answer in the

expeople1 [14]

no. of boys : no.of girls

100 : 140

to get the simplest ratio you gotta divide both with a common factor

Because both 100 and 140 share a common factor of 20

the simplest ratio will be

100/20 : 140/20

5:7

5:7 is the simplest ratio

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2 years ago

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Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and G = {1, 2, 3, 4, 5, 6, 7}. What is G?

Nesterboy [21]

Your posted question defines G, then asks what G is.
G is the set in the definition you gave.

G = {1, 2, 3, 4, 5, 6, 7}

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3 years ago

Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer.

Charra [1.4K]

Answer:

y = $\frac{25}{6}$

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = $\frac{y}{x}$ = $\frac{5}{6}$

y = $\frac{5}{6}$ x ← equation of variation

When x = 5, then

y = $\frac{5}{6}$ × 5 = $\frac{25}{6}$

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3 years ago

When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.

g100num [7]

The slope of both lines will be the exact same.

hope this helps :)

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2 years ago

What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6

frez [133]

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The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

$y=-\frac{4}{3}x+2$

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

$m_1\cdot m_2=-1$

Substituting the value of m1 and solving for m2:

$\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}$

The slope of our line is 3/4 and the required equation is:

$y=\frac{3}{4}x$

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

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Reorder:

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1 year ago