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Rudik [331]
3 years ago
13

The area of a parallelogram is 8√90 and the base is 2√5. what is the height of the parallelogram?

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Formula for the area of a parallelogram is

A=\text{height}\cdot \text{base}.

If A=8\sqrt{90}\ un.^2 and \text{base}=2\sqrt{5}\ un., then

8\sqrt{90}=\text{height}\cdot 2\sqrt{5},\\ \\\text{height}=\dfrac{8\sqrt{90}}{2\sqrt{5}}=4\sqrt{\dfrac{90}{5}}=4\sqrt{18}=4\cdot 3\sqrt{2}=12\sqrt{2}\ un.

Answer: the height has a length 12\sqrt{2}\ un.


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The graph below represents the function f.
OLEGan [10]

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

6 0
3 years ago
HELP THIS IS DUE AT 12
kap26 [50]

Answer:

16

Step-by-step explanation:

4×.75=3

8×.75=6

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7 0
2 years ago
Read 2 more answers
A 85 inch piece of pipe is cut into three pieces, so that the second
nikdorinn [45]

Answer:

<h2>1.  14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>

Step-by-step explanation:

   x          2x                        3x + 1

|---------|-------------------|---------------------------|

|<-------------------- 85 in ------------------------>|

85 = x + 2x + 3x + 1

85 - 1 = 6x

x = 84 / 6

x = 14

1st piece                   = 14 in

2nd piece = 2(14)     = 28 in

3rd piece = 3(14) + 1 = 43 in

                   ----------------------------

total                          =  85 in

3 0
3 years ago
What is the solution to the system of equations of linear equations 2x + 4y = 38 and 10x + 3y = 105
nata0808 [166]
<span>A) 2x + 4y = 38
B) 10x + 3y = 105
Multiplying A) by -5
A) -10x -20y = -190 then adding it to B)
</span><span>B) 10x + 3y = 105

-17y = -85
y = 5
x = 9


</span>
6 0
3 years ago
Round 12502 to nearest thousand
dalvyx [7]
12,500 would be the answer
7 0
3 years ago
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