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3 years ago

Set up a proportion to solve for x in the following similar triangles,

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

$\frac{15}{x-4}$ = $\frac{12}{8}$ ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

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Solve the equation x = $rrº for r.

Masteriza [31]

Answer:

32 $

Step-by-step explanation:

3 0

3 years ago

Find the volume of the solid that lies between planes perpendicular to the x-axis at x = pi/4 and x = 5pi/4. The cross-sections

svp [43]

Answer:

The volume of the solid = π²

Step-by-step explanation:

As per the given data of the questions,

The diameter of each disk is

D = 2 sin(x) - 2 cos(x)

So its radius is

R = sin(x) - cos(x).

The area of each disk is

$= \pi \times(sinx-cosx)^{2}$

$= \pi \times [sin^{2}(x) - 2 sin(x) cos(x) + cos^{2}(x)]$

$= \pi[1-2sin(x)cos(x)]$

$= \pi[1-sin(2x)]$

Now,

Integrate from $x=\frac{\pi}{4}\ \ \ to\ \ \ x=\frac{5\pi}{4}$ , we get volume:

$V=\int_{\frac{\pi}{4}}^{\frac{5\pi}{4}} \pi[1-sin(2x)]dx$

After integrate without limit we get

$V=\pi[x+\frac{cos2x}{2}]$

Now after putting the limit, we get

V = π²

Hence, the required volume of the solid = π²

3 0

3 years ago

Thx the picture I need help with it thx

Anon25 [30]

40x7=280

Your answer is $280

Hope this helped :D
~xo Melis

5 0

3 years ago

11/1,000 as a decimal

xz_007 [3.2K]

Divide your numerator by the denominator to find the decimal. 11÷1000=.011 ANSWER: .011

5 0

3 years ago

What is the square root of 66

Aloiza [94]

Answer:

8.12 is the rounded answer

Step-by-step explanation:

$\sqrt{66}$

6 0

2 years ago

Read 2 more answers