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3 years ago

Consider triangle abc what is the value of y in the triangle

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

Answer:

y = 50

Step-by-step explanation:

All triangle angles add up to 180 degrees.

To set this equation up, you need to add everything given in the triangle and set it equal to 180:

y + y + 80 = 180

Add like terms:

2y + 80 = 180

Subtract 80 from both sides:

2y + 80 = 180

- 80 - 80

___________

2y = 100

Divide both sides by 2:

y = 50

If you're unsure, you can plug in the 50 for y:

y + y + 80 = 180

50 + 50 + 80 = 180

100 + 80 = 180

180 = 180

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

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

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

4 0

4 years ago

Find the area of the figure shown below and choose the appropriate results

sweet [91]

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

8 0

3 years ago

HELP What is the approximate volume of a cone with a height of 12 in. And a radius of 9in.?

Lunna [17]

$SURFACE \: \: AREA \: \: AND \: \: VOLUMES \\ \\ \\\\Volume \: \: of \: \: cone \: \: = \: \: \frac{1}{3} \pi {r}^{2} h \\ \\ \\ We \: are \: given \: that \: \: - \: \: \: \\ \: \: \\ \: Radius \: = \: 9 \: \: in. \\ \\ \: Height \: = \: 12 \: \: in. \\ \\ \: \: \: \pi \: = \: 3.14 \\ \\ Volume \: \:of \: \: Cone \: \: = \: \: \frac{1}{3} \times 3.14 \times 9 \times 9 \times 12 \\ \\ \\ Volume \: \: of \: \: Cone \: \: = \: \: 1017.36 \: {in.}^{3}$

6 0

3 years ago

I need these answers

Brut [27]

I hve answered, what is your question?

4 0

4 years ago

Solve the problem give the equation using x as the variable and give the answer. If 1 is subtracted from a number and this diffe

V125BC [204]

Answer:

x=6

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

3(x-1)=15+x

3x-3=15+x

2x-3=15

2x=12

x=6

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0

3 years ago