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3 years ago

15

The triangle shown in the diagram is going to be dilated by a scale factor of 1 3 . What is the length of the new side that corr

esponds to side AB? A) 1 B) 3 C) 9 D) 1 3

1 answer:

Rufina [12.5K]3 years ago

3 0

What’s is side AB if I don’t have that I don’t know how to figure out how they correspond

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as

NISA [10]

$\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}$

$\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}$

$\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}$

7 0

4 years ago

Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. Th

maksim [4K]

Answer:

Step-by-step explanation:

Comment

The first step is to find the surface area of 1 fence post.

The formula is

Area_ends = 2 pi r^2 for the ends.

Area_body = 2*pi*r * h

Givens

r = d/2 r is the radius ; d is the diameter

r = 1/2 foot

h = 10 feet

Solution

1 fence post

Area = ends + area body

Area = 2*3.14 * (1/2)^2 + 2 * pi * r * h

Area = 2*3.14* (1/2)^2 + 2 * 3.14 * 1/2 * 10

Area = 1.57 + 31.4

Area = 32,97 square feet.

10 fence posts

10*32.97 = 329.7 square feet

Answer

10 fence posts have 329.7 square feet in area.

4 0

2 years ago

Read 2 more answers

Please help thank you asap

miss Akunina [59]

34 is the correct answer

3 0

3 years ago

an emloyee works 22 days per month, if they work an average of 8 hours per day how many hours do they work per month

SVEN [57.7K]

Answer:

176 hours

Step-by-step explanation:

They work 176 hours because

22*8=176

6 0

3 years ago

Find f(m - 1) when f(×) = 5×^2+4× - 5

Nina [5.8K]

Answer:

5m² - 6m + 1

Step-by-step explanation:

f(x) = 5x² + 4x - 5

substituting value,

f(m-1) = 5(m-1)² + 4(m-1) - 5

so,

5(m-1)² + 4(m-1) - 5

= 5(m²-2m+1) + 4m -1 - 5

= 5m² - 10m + 5 + 4m - 4

= 5m² - 6m + 1

5 0

3 years ago