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kogti [31]
3 years ago
14

A trapezoid has an area of 161 square meters and base lengths of 7 meters and 16 meters. What is the height of the trapezoid?

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

14

Step-by-step explanation:

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3. Last month, Ronald sold 52 packages
vladimir2022 [97]

Answer:

$468.75

Step-by-step explanation:

52 packages = $195

125 packages = ?

125 x (195/52)

= 125 x 3.75

= 468.75

8 0
1 year ago
Solve the following equation show your work 3{-x + (2x + 1)} = x - 1
Reika [66]

Answer:

x = -2

Step-by-step explanation:

For this problem, we must simply solve for x.  To do this, we will need equation operations, and the use of the distributive property.

Let's work this line by line until we have the value for x:

3{-x + (2x + 1)} = x - 1

3*-x + 3*(2x + 1) = x - 1

-3x + 6x + 3 = x - 1

3x + 3 = x - 1

2x = -4

x = -2

Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:

3{-x + (2x + 1)} = x - 1

3{-(-2) + (2(-2) + 1)} ?= (-2) - 1

3{2 + (-4 + 1)} ?= -3

3{2 + (-3)} ?= -3

3{-1} ?= -3

-3 == -3

Thus, we have found the solution for x to be equivalent to negative 2.

Cheers.

4 0
3 years ago
Read 2 more answers
Madison is picking out some movies to rent, and she has narrowed down her selections to 7 foreign films, 3 horror films, 6 actio
Aleksandr [31]

{_{16}C_5}=\dfrac{16!}{5!11!}=\dfrac{12\cdot13\cdot14\cdot15\cdot16}{2\cdot3\cdot4\cdot5}=4368

8 0
3 years ago
Read 2 more answers
Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°.<br><br> a. 60°<br> b. 150°<br> c. 30°<br> d. 120°
ladessa [460]

Answer:

\boxed{a.\:\:\:60\degree}

Step-by-step explanation:


The given trigonometric equation is


5\tan(x)=5\sqrt{3} for 0\degree \le x\le 180\degree.


We divide through by 5 to get;


\tan(x)=\sqrt{3}


We take the inverse tangent of both sides to obtain;


x=tan^{-1}(\sqrt{3})


x=60\degree


Since the tangent ratio is positive, it means x could also be in the 3rd quadrant. But this is outside the given range.


Therefore the correct answer is A


6 0
3 years ago
Which equation or function is linear?
zepelin [54]

9514 1404 393

Answer:

  C.  2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1)  ⇒  xy +y = 3 . . . . sum of exponents is 1+1 = 2

8 0
3 years ago
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