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ad-work [718]
3 years ago
12

60% of what number is 72?

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
60%=0.6

0.6*x=72

0.6x=72

x= \frac{72}{0.6}

x=120

72 is 60% of 120
tatiyna3 years ago
7 0

\frac{60}{100} =  \frac{72}{x}

60x = 7200

x = 120

72 is 60% of 120

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It's B because 1 Litre is 1000 millimeteres
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Pls help with full thing
Vitek1552 [10]
For the first one, the fraction version for 0.25 is 1/4 and the percentage is 25%
7 0
2 years ago
. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a
crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
3 years ago
The_________states that the sum measures of the interior angles of a triangle is 180​
serious [3.7K]

The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree

<em><u>Solution:</u></em>

We know that,  

The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.

It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:

Consider a triangle with interior angles a, b, and c. Then we can say,

\angle a+\angle b+\angle c=180^{\circ}

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem

7 0
2 years ago
You are looking down at a map. A vector u with |u| = 6 points north and a vector v with |v| = 5 points northeast. The crossprodu
lina2011 [118]

Answer: Hi!

First, UxV = sin(a)*IUI*IVI

where a is the angle between U and V, in this case 45°.

First, the cross product of UxV points:

Here you can use the right hand method,

Put your hand flat, so the point of your fingers point in the same direction that the first vector, in this case U, so your fingers will point to the north.

Now roll your fingers in the direction of the second vector, so here you will roll your fingers in the northeast direction. Now you will see that your thumb is pointing down, so the cross product of UxV points down.

And the magnitude is 6*5*sin(45) = 21.213

6 0
3 years ago
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