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3 years ago

The advertising sticker on Allen's

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer:

Step-by-step explanation:

The rate in this case is slope of the line. The formula of a slope is m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

(10, 325)

(4, 130)

m = $\frac{325-130}{10-4}$ = $\frac{195}{6}$ = 32.5 miles per gallon

The actual rate is less (better) than advertising.

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Find the area of the regular polygon. Round to the nearest tenth.

JulsSmile [24]

Answer:

$110.9\ ft^{2}$

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

$A=\frac{1}{2} b^{2}sin(60\°)$

we have that

$b=16\ ft$

substitute

$A=\frac{1}{2} (16^{2})sin(60\°)=110.9\ ft^{2}$

8 0

3 years ago

SOMEONE PLEASE HELP ME WITH THIS!!!!

Ymorist [56]

Answer: B) 2(x + 3) - 1

6 0

3 years ago

Read 2 more answers

Solve the following system of equations by graphing and select the correct answer below:

JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute $y=0$ into the equation and solve for "x".

To find the y-intercept, substitute $x=0$ into the equation and solve for "y".

- For the first equation:

x-intercept

$4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25$

y-intercept

$4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66$

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

$2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5$

y-intercept

$2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33$

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

$x=5\\y=3$

7 0

4 years ago

Read 2 more answers

Need help please !!!

irina1246 [14]

sin^2 x + 4 sinx +3 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

factor the numerator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

cos^2 x 1 - sinx

cos^2 = 1-sin^2x

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

1- sin^2x 1 - sinx

factor the denominator

(sinx +3) (sinx+1) 3 + sinx

-------------------------- = -------------------

(1-sinx ) (1+sinx) 1 - sinx

cancel the common term (1+sinx) and (sinx +1)

(sinx +3) 3 + sinx

-------------------------- = -------------------

(1-sinx ) 1 - sinx

reorder the first term

3+sinx 3 + sinx

-------------------------- = -------------------

(1-sinx ) 1 - sinx

3 0

3 years ago

Daryl's Oreo factory is able to produce 3/4 tons of Oreos in 1 1/2 weeks. At this rate, how long will it take to produce 2

dolphi86 [110]

$\bf \begin{array}{ccll} tons&weeks\\ \cline{1-2}\\ \frac{3}{4}&1\frac{1}{2}\\\\ 2&x \end{array}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~1\frac{1}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{2}=\cfrac{~~\frac{3}{2}~~}{x}\implies \cfrac{~~\frac{3}{4}~~}{\frac{2}{1}}=\cfrac{~~\frac{3}{2}~~}{\frac{x}{1}} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{2}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{3}{8}=\cfrac{3}{2x}\implies 6x=24\implies x=\cfrac{24}{6}\implies x=4$

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3 years ago