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3 years ago

Evaluate each expression for the given value(s) of the variable(s). x-7;x=23

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

The answer is 16, you substitute the value of the variable into the equation and simplify

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#20 is this the correct answer bc I'm not sure what it means when it says "what are the areas of the two sectors" does that mean

Lelechka [254]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
r=4\\
\theta=112
\end{cases}\implies A=\cfrac{112\cdot 16\cdot \pi }{360}\implies \boxed{A=\cfrac{224}{45}\pi}
\\\\\\
A\approx 15.64\\\\
-----------------------------\\\\
\textit{area of a circle is }\pi r^2\textit{ so the other side will be}
\\\\\\
\pi r^2-\cfrac{224\pi }{45}\implies 16\pi -\cfrac{224\pi }{45}\implies \boxed{\cfrac{496\pi }{45}}\implies A\approx 34.68$

5 0

3 years ago

The look-out point of a tower is 60 feet above the ground. A man observes a fountain from the look-out point. The angle of depre

Mademuasel [1]

27.98ft

You can get this by using the tangent formula. The answer exactly expressed is 60tan25.

5 0

4 years ago

Please helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

valentina_108 [34]

Answer:

Scale factor=length of large\lenght of small

=3.5÷2.8=1.25

PLEASE GIVE BRAINLIEST

3 0

3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify ( 6 x − 2 ) 2 ( 0 .

den301095 [7]

Answer:

$\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}$

Step-by-step explanation:

We want to simplify:

$(6x-2)^2(0.5x)^4$

We expand to get:

$(36x^2-24x+4)*\frac{x^4}{16}$

We expand further to get:

$\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}$

8 0

3 years ago

Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi

makvit [3.9K]

The extraneous solution of the logarithmic problem $\rm log_3(18x^3)-log_3(2x) = log_3 144$ is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

$\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}$

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

8 0

2 years ago

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