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3 years ago

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Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

$b = \sqrt{65}$

Step-by-step explanation:

${b}^{2} + {4}^{2} = {9}^{2} \\ {b}^{2} + 16 = 81 \\ {b}^{2} = 81 - 16 \\ {b}^{2} = 65 \\ b = \sqrt{65}$

I hope I helped you^_^

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Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

Find the range

For x=400 kWh

$y=0.097(400)=\$38.8$

$y\geq \$38.8$

The range is the interval -----> [38.8, infinite)

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3 years ago

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?. A.1/(cscx + sinx). B

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We are given with the function (sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (sinx)(1-sin x )/(1 + sinx)(1-sin x). Then we convert the expression into (sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.

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Delicious77 [7]

Answer:

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What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?

netineya [11]

See the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part

the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30°------> 150°

convert to radian
pi radians---------> 180°
x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians

the answer is
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A marching band wants to raise 20,000 at its annual fundraiser if they sell tickets for 20 a piece how many tickets will they ha

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