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3 years ago

Name at least 3 angles for each diagram

Mathematics

2 answers:

irga5000 [103]3 years ago

8 0

Answer:

angle RSU.

angle RST

angle UST

seraphim [82]3 years ago

4 0

Answer:

Acute angle, Obtuse angle, and Zero angle

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

Hi so could anyone please tell me how to solve this I’ve tried looking through my notes but I can’t find a question similar to t

neonofarm [45]

Answer:

no solution

Step-by-step explanation:

There are no values of x that make the equation true.

6 0

3 years ago

Simplify, and write your answer as a numeral:<br><br> ( The problem is in the picture I attached )

Vika [28.1K]

Answer:

Step-by-step explanation:

(7-4)=3

3^2=9

9*5=45

6 0

3 years ago

Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er

kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

$A=x^2$ .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

$\dfrac{dx}{dt}=2$

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

$A=250000$

$x^2=250000$

Taking square root on both sides.

$x=500$

Differentiate with respect to t.

$\dfrac{dA}{dt}=2x\dfrac{dx}{dt}$

Substitute x=500 and $\frac{dx}{dt}=2$ in the above equation.

$\dfrac{dA}{dt}=2(500)(2)$

$\dfrac{dA}{dt}=2000$

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0

3 years ago

What is the volume of a 3 foot tall cylindrical trash can with a 1 foot radius

Oksi-84 [34.3K]

Answer: V= 9.42

Step-by-step explanation: Volume of a cylinder: $\pi$ r²h

radius= 1 ft

height= 3 ft

= $\pi$ ×1²×3

=9.42

This is my first time answering a question so yeah.

4 0

3 years ago