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kherson [118]
3 years ago
11

I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my cl

assmate was born on April 9, two thousand and six ( 09 / 04 / 2006 ), how many months, years and days are we apart?
Mathematics
1 answer:
Elden [556K]3 years ago
5 0

Answer:

8 months 11 days 1 year

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Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
olasank [31]

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
Express angle 37 in radian​
Snezhnost [94]

Answer:

0.646 radians to the nearest thousandth.

Step-by-step explanation:

To convert degrees to radians we multiply by π/180

= 37 * π/180

= 0.20556π radians

= 0.646 radians to the nearest thousandth.

7 0
3 years ago
What is the slope of (2,-12), (18,15)
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

The slope of a line given two points (x_0,y_0) and (x_1,y_1) is

m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}

7 0
3 years ago
Carman used her knowledge of angle relationships to find the value of x in the diagram.what is the value of x ?
Sergeeva-Olga [200]

Answer:

The Answer is 9

Step-by-step explanation:

6 0
3 years ago
Find the surface area of the cylinder with a height of 11cm and 4cm as a base
Andru [333]

I hope this helps you

5 0
3 years ago
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