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mafiozo [28]
3 years ago
12

A banner in the shape of a parallelogram has an area of 30 square feet. The height of the banner is 1/5 feet. What is the length

of the banner, in feet?
Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

Q: 1 5 4 4 - 1 5 4 - 5 2 2 2 - 5 - - Find the size of the matrix - 2 1 4 -4 3 2 - 2 4 2,.

Step-by-step explanation:

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Rank the following from least to greatest based on their axis of symmetry.
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Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1

2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2

Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D
3 0
3 years ago
Vivian had a negative account balance of $22.25. She deposited $30 and was then charged a $2.75 fee for the negative balance. Wh
expeople1 [14]
-$22.25 + $30.00 = $7.75

$7.75 - $2.75 = $5.00

final account balance = $5.00
6 0
3 years ago
An oil company fills 1 over 12 of a tank in 1 over 4 hour with gasoline. At this rate, which expression can be used to determine
Serga [27]
The answer should be C
5 0
3 years ago
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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
What is the difference between a formal sanction and an informal sanction?
nadezda [96]

Answer:

A formal sanction is a reward or punishment given by a formal organization or regulatory agency, such as a school or government. An informal sanction is a spontaneous expression of approval or disapproval given by an individual or a group, such as a standing ovation or gossip.

4 0
3 years ago
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