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Nonamiya [84]
4 years ago
11

The function f(x) = 4x + 30 represents the length of a rectangle. The function g(x) = x − 1 represents the width of the rectangl

e. Use (f • g)(5) to determine the area of the rectangle.
4
46
50
200
Mathematics
2 answers:
Sonja [21]4 years ago
7 0

Answer:

200

Step-by-step explanation:

area of the rectangle= length* width

the statement tell us area of the rectangle=  (f • g)(5)

(f • g)= (4x + 30)*(x − 1)

(f • g)(5)=(4*(5) + 30)*(5 − 1)

(f • g)(5)= (20+30)*(4)

(f • g)(5)=50*4

(f • g)(5)=200

Natali [406]4 years ago
4 0

Answer:

200

Step-by-step explanation:

got it right on quiz

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A terminal ray passes through (12,-5). Fine the value to all six trig functions
Harman [31]

Okay, here we have this:

Considering the provided angle, we are going to calculate the requested trigonometric functions, so we obtain the following:

So the first thing we will do is calculate the length of the hypotenuse, that is, the distance between the given point and the origin, then we have:

\begin{gathered} r=\sqrt{(12-0)^2+(-5-0)^2} \\ r=\sqrt{12^2+(-5)^2} \\ r=\sqrt{144+25} \\ r=\sqrt{169} \\ r=13 \end{gathered}

Now we proceed to find the value of each ratio:

sin\beta=\frac{y}{r}=\frac{-5}{13}cos\beta=\frac{x}{r}=\frac{12}{13}tan\beta=\frac{y}{x}=\frac{-5}{12}csc\beta=\frac{r}{y}=\frac{13}{-5}=-\frac{13}{5}sec\beta=\frac{r}{x}=\frac{13}{12}cot\beta=\frac{x}{y}=\frac{12}{-5}=-\frac{12}{5}

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2 years ago
7. Vernon filled his gas tank with 16 gallons of
scZoUnD [109]

Answer:

it went from 4 then 1 then 11

Step-by-step explanation:

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3 years ago
Lim(x-0) of sin3x/sin8x
MrRa [10]
Hello,
$ \lim_{x \to 0} \dfrac{sin(3x)}{sin(8x)} =  \lim_{x \to 0}  \dfrac{3*sin(3x)}{3x} * \dfrac{8x}{8*sin(8x)}=3*1* \frac{1}{8} =\boxed{ \frac{3}{8}}


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3 years ago
Need help with number 1 and explain
dexar [7]

Answer:

0

Step-by-step explanation:

If the answer is between 0 to 0.49, the best estimate is 0.

If the answer is between 0.5-1.49, the best estimate is 1.

If the answer is 1.5 or greater, the best estimate is 2.

Without giving the fractions 1/10 and 1/12 a common denominator, we know the answer is between 2/12 and 2/10.

2/12 is less than 2/10. 2/10 is 0.2, which is less than 0.5.

Since the final answer is less than 0.5, the best estimate is 0.

6 0
3 years ago
How many cubic blocks of side length of 173 inch would it take to fill a rectangular prism with a length width and height of 3/7
bulgar [2K]

Complete question :

How many cubic blocks of side length of 17 inch would it take to fill a rectangular prism with a length width and height of 3/7 inch 1/7 inch and 3/7 inch

Answer:

9 cubic blocks

Step-by-step explanation:

The volume of a rectangular prism is given as :

V = Length * width * height

V = 3/7 * 1/7 * 3/7 = 9 / 343 in³

The volume of block clube:

Take the cube of the side length :

(1/7)^3 = 1 / 343 in³

Number of cubic blocks required :

Volume of prism / volume of cube

9 / 343 ÷ 1 / 343

9 / 343 * 343 /1 = 9

Hence, 9 cubic cubes are needed to fill the rectangular prism

4 0
3 years ago
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