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2 years ago

Find the value of x ?

Mathematics

1 answer:

RUDIKE [14]2 years ago

6 0

Answer:

x = 50

Step-by-step explanation:

add all terms and set sum equal to 360

the 'hint' of (n-2)180 determines how many degrees there are inside the polygon; if 'n' equals the number of sides and the polygon has 4 sides then sum of interior angles is (4-2)180 or 2x180 which is 360

x + 10 + 3x + x + 2x = 360

combine like terms to get: 7x + 10 = 360

7x = 350

x = 50

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

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UNO [17]

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Step-by-step explanation:

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2 years ago

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qaws [65]

Answer:

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Step-by-step explanation:

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f(x) = (-x) + 3 replace x with 5

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2 years ago

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Lake Mead contains approximately 28,945,000 acre feet of water and there are about 326,099 gallons in 1 acre-foot. The approxima

kherson [118]

Answer:

Step-by-step explanation:

Let x be the number of gallons of water in lake Mead.

Given that there is 326099 gallons in 1 acre-foot, we calculate Mead's gallons as:

$1 acrefoot=326099g\\28945000acrefoot=x\\\\x=\frac{28945000acrefoot\times326099g}{1acrefoot}\\\\x=9.4\times 10^{12} \ gallons$

We now equate x to $9.4\times10^a$ ;

$9.4\times 10^a=9.4\times 10^{12}\\\\a=12$

Hence, a=12

6 0

2 years ago

What is the solution set to the equation x^2+6x+3=0

marin [14]

Answer:

That is a quadratic equation in which

a = 1

b = 6

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x = [-b +- sqr root (b^2 -4*a*c)] / 2*a

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x1 = [-6 + sqr root (24)] / 2

x2 = [-6 - sqr root (24)] / 2

Step-by-step explanation:

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2 years ago