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3 years ago

Find x. This is the information that is given.

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

Answer:

4 sqrt(3) = x

Step-by-step explanation:

We have similar triangles

The ratios of the sides have to be in proportion

The large triangle has sides x and hypotenuse 12

The small triangle has side 4 and hypotenuse x

We can write the ratio of sides to hypotenuse

x 4

---- = -------

12 x

Using cross products

12*4 = x^2

48 = x^2

Taking the square root

sqrt(48) = sqrt(x^2)

sqrt(3*16) = x

sqrt(16) sqrt(3) = x

4 sqrt(3) = x

Scilla [17]3 years ago

3 0

Answer:

Option 1

Step-by-step explanation:

x is the hypotenuse of the smallest triangle and a base for the biggest one

Use similar figures:

x/12 = 4/x

x² = 12×4

x² = 48

x = sqrt(48)

x = 4sqrt(3)

sqrt: square root

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A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

zhuklara [117]

Answer:

Step-by-step explanation:

A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?

----

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

We use the inverse formula

base = 2A : height

2 * 27 : 6 = 9

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6 * 9 : 2 = 27

the answer is good

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3 years ago

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3 years ago

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Paul [167]

Answer:

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Step-by-step explanation:

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3 years ago

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago

Question 2 of 10

Jet001 [13]

Given:

The parent function is:

$f(x)=x^2$