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3 years ago

True or false !!! T or F

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Tan x = opp/adj

For angle C, opp = 4, and 3 = adj, so

tan C = 4/3

Answer: False

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The price of a new car is 16000$ Mr Mar paid 15% of the price as a down payment how much does he still owe? (Please help and exp

Harlamova29_29 [7]

Ok 15% is 0.15 in decimal form so you multiply 0.15 by 16000$ and get 2,400$ (the down payment not amount owed) you then subtract 2,400$ from 16,000$ and get 13,600$ which is how much he still owes

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3 years ago

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PLZZZ NEED HELP WITH THIS PROBLEM!!!

nordsb [41]

Answer:

cricle because a cone cut the tri and it is a circle

Step-by-step explanation:

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3 years ago

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The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

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3 years ago

In the figure below, tan B = 4/3. If BC = 15 and DA = 3, what is the length of DE ?

jonny [76]

Answer:12

Step-by-step explanation:

3 0

3 years ago

Is this correct ? check plsss...

d1i1m1o1n [39]

This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation

17=37+4f
17=37+4(-5)
17=37-20
17=17

great job!!

7 0

3 years ago

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