I need help!!!!!!!! Please help me solve this!!!

valina [46]

A is the right answer I think

4 0

3 years ago

the smaller rectangle is a 1/4 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of t

Neporo4naja [7]

Answer:

Part a) The length of the smaller rectangle is $6\ ft$

Part b) The width of the smaller rectangle is $5\ ft$

Part c) The area of the smaller rectangle is $30\ ft^{2}$

Step-by-step explanation:

Part a)

Find the length side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

so

Let

x--------> the length of the smaller rectangle

y-------> the length of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=24\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{24}$

$x=24/4=6\ ft$

Part b)

Find the width side of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor is equal to divide the measure of the smaller figure by the corresponding measure of the original figure

so

Let

x--------> the width of the smaller rectangle

y-------> the width of the original figure

z-----> scale factor

$z=\frac{x}{y}$

we have

$y=20\ ft$

$z=1/4$

substitute and solve for x

$(1/4)=\frac{x}{20}$

$x=20/4=5\ ft$

Part c)

Find the area of the smaller figure

we know that

The scale factor is equal to $\frac{1}{4}$

Remember that

The scale factor squared is equal to divide the area of the smaller figure by the area of the original figure

so

Let

x--------> the area of the smaller rectangle

y-------> the area of the original figure

z-----> scale factor

so

$z^{2}=\frac{x}{y}$

we have

$y=480\ ft^{2}$

$z=1/4$

substitute and solve for x

$(1/4)^{2}=\frac{x}{480}$

$x=480/16=30\ ft^{2}$

4 0

4 years ago

Simplify your answer as much as possible 4(u+8)-8u=12

ASHA 777 [7]

Answer:

5

Step-by-step explanation:

4 0

3 years ago

Two points are shown on the number line. Which value is best represented by the point F?

Masja [62]

Answer:

I believe its d

5 0

3 years ago

Find the surface area of the solid. Round to two decimal places

Ne4ueva [31]

Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b$

so then the surface area of the triangular prism is,

$\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672}) \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978$

5 0

3 years ago