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3 years ago

If the scale is 1 in to 3 ft, and the scale drawing shows a length of 4 inches, what is the length of the real world figure

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Answer:

Step-by-step explanation:

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The equation above can be used to calculate the volume V, of a sphere with radius r. If the volume of a sphere is 288πcm3, what

ella [17]

Answer:

Step-by-step explanation:

V=4/3πr^3

288πcm^3=4/3×π×r^3

288π×3cm^3=4πr^3

864π=4πr^3

r^3=216

r=6cm

8 0

3 years ago

each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

6 0

3 years ago

Make an equation that would equal to 6, numbers u can use is 4,9,1,5

steposvetlana [31]

Write down : 2, +, 3 + 1

8 0

3 years ago

Read 2 more answers

1. Which equation can you use to find the value of x?

Alika [10]

Answer:

It's a proportion.

2 is to x as 15 is to 9, or 2/x = 15/9.

Multiply the means and extremes

15x = 18

divide both sides by 15 to get x by itself.

x = 1.2

Step-by-step explanation:

6 0

3 years ago

F(x) = –3x2 – 7x<br> Find f(7)

Dominik [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers