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3 years ago

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Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is th

e number of square inches in the area of the parallelogram formed by the overlap?
.

1 answer:

Mandarinka [93]3 years ago

8 0

Answer:

Step-by-step explanation:

37 inches

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An orange grove has 858 trees. There are 33 rows each with the same number of trees

KIM [24]

Answer:

26

Step-by-step explanation:

If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26

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3 years ago

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Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n

nevsk [136]

Answer:

15.7. Hope this helps.

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3 years ago

Is this linear or not and why

Fittoniya [83]

Answer:

Yes

Step-by-step explanation:

Both equations of this system are of degree one.

They are both linear as the graph of both is a line.

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MATH HELP!!! 100PTS!!!

Lostsunrise [7]

Answer:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Step-by-step explanation:

<u>Given functions</u>:

$p(x)=2x-4$

$r(x)=\dfrac{6x-1}{9x+1}$

Solve for p(x) = r(x):

$\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}$

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Therefore:

$a=18, \quad b=-40, \quad c=-3$

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

$\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}$

Therefore, the solutions are:

$x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}$

Learn more about quadratic equations here:

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2 years ago

Elena has 35 magazine subscriptions to sell. Each magazine subscription costs $8.50. Elena sold 17 magazine subscriptions on Fri

KengaRu [80]

Answer : The answer is $153.00 from selling magazine subscriptions on Saturday.

Explanation : We know that each magazine is equal to $8.50. At first she sold 17 of the 35 magazines. 17 x $8.50 = $144.50 from selling 17 magazines. Now we do 35-17 to get how many magazines are left. So there is 18 magazines left. We need to do the same thing we did before, 18 x $8.50 = $153.00. She got $153.00 from selling 18 magazines on Saturday.

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3 years ago